INIS Repository Search - Results for the query - DEI:"CHAOS THEORY"
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http://inis.iaea.org/Search/search.aspx?orig_q=RN:41022581
The mathematical description of uniformity and related theoremsLuo Chuanwen (Research Center of Uniformity Theory and Applications, Northeast Forestry University, Harbin, Heilongjiang 150040 (China)); Yi Chundi (Research Center of Uniformity Theory and Applications, Northeast Forestry University,...</br>Uniform index is a conception that can describe the uniformity of a finite point set in a polyhedron, and is closely related to chaos. In order to study uniform index, the concept of contained uniform index is defined, which is similar...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:47103954
De-synchronization and chaos in two inductively coupled Van der Pol auto-generatorsBeregov, R.Y.; Melkikh, A.V., E-mail: melkikh2008@rambler.ru</br>In this article, we consider a system of autonomous inductively coupled Van der Pol generators. For two coupled generators, we establish the presence of metastable chaos, a strange non-chaotic attractor, and several stable limiting...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:51082358
Shifts, rotations and distributional chaosXu, Dongsheng; Xiang, Kaili (Southwestern University of Finance and Economics, School of Economic Mathematics (China)); Liang, Shudi (Southwest Petroleum University, School of Sciences (China)), E-mail: xudongshengmath@126.com, E-mail:...</br>Let <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>R</mi><mrow class="MJX-TeXAtom-ORD"><msub><mi>r</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub></mrow></msub><mo>,</mo><msub><mi>R</mi><mrow...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:45052734
On the admissibility of some substitution sequencesHan, Zhujuan; Niu, Min, E-mail: niuminfly@sohu.com</br>The relationship between some kinds of substitutions and admissible sequences is studied. Sufficient and necessary conditions for the admissibility of the sequences generated by non-constant length substitution and constant length...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:48001808
The emergence of self-organization in complex systems–PrefaceParadisi, Paolo (Istituto di Scienza e Tecnologie dell’Informazione “A. Faedo” (ISTI-CNR), Via Moruzzi 1, Pisa 56124 (Italy); Basque Center for Applied Mathematics (BCAM), Alameda de Mazarredo, 14 E-48009 Bilbao, Basque Country (Spain));...</br>No abstract available.
http://inis.iaea.org/Search/search.aspx?orig_q=RN:47052273
The equal combination synchronization of a class of chaotic systems with discontinuous outputLuo, Runzi; Zeng, Yanhui (Department of Mathematics, Nanchang University, Nanchang 330031 (China))</br>This paper investigates the equal combination synchronization of a class of chaotic systems. The chaotic systems are assumed that only the output state variable is available and the output may be discontinuous state variable. By constructing...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:53072799
Analysis of chaotic systems, an implementation of the logistic equationCárdenas A, P P; González G, J; Correa V, G (Universidad Tecnológica de Pereira, Pereira (Colombia)), E-mail: ppablo@utp.edu.co</br>This paper presents a simple example of a chaotic system, the denomination logistic equation, to illustrate and emphasize the distinctive characteristics of chaos, which are the extreme dependence on initial conditions and complexity...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:47052280
A vast amount of various invariant tori in the Nosé-Hoover oscillatorWang, Lei (School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074 (China); Department of Mathematics and Physics, Hefei University, Hefei 230601 (China)); Yang, Xiao-Song (School of Mathematics...</br>This letter restudies the Nosé-Hoover oscillator. Some new averagely conservative regions are found, each of which is filled with different sequences of nested tori with various knot types. Especially, the dynamical behaviors near...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:40077093
Anti-synchronization Between Lorenz and Liu Hyperchaotic SystemsZheng Qiang; Zhang Xiaoping; Ren Zhongzhou (Department of Physics, Nanjing University, Nanjing 210093 (China)), E-mail: qzhengnju@gmail.com</br>Anti-synchronization between different hyperchaotic systems is presented using Lorenz and Liu systems. When the parameters of two systems are known, one can use active synchronization. When the parameters are unknown or uncertain,...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:51116893
Chaotic sub-dynamics in coupled logistic mapsLampart, Marek (Department of Applied Mathematics, VŠB - Technical University of Ostrava, 17. listopadu 15/2172, 708 33 Ostrava (Czech Republic); IT4Innovations, VŠB - Technical University of Ostrava, 17. listopadu 15/2172, 708 33...</br>We study the dynamics of Laplacian-type coupling induced by logistic family <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub is="true"><mrow is="true"><mi is="true">f</mi></mrow><mrow is="true"><mi is="true">μ</mi></mrow></msub><mrow...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41008890
Conjugate Lorenz-type chaotic attractorsXiong Xiaohua (School of Mathematics and Computational Science, Zhongshan University, Guangzhou 510275 (China); Department of Computer and Information Engineering, Jiangxi Normal University, Nanchang 330027 (China)); Wang Junwei (School...</br>Based on the generalized Lorenz system, a conjugate Lorenz-type system is introduced, which contains three different chaotic attractors, i.e., the conjugate Lorenz attractor, the conjugate Chen attractor and the conjugate Lue attractor....
http://inis.iaea.org/Search/search.aspx?orig_q=RN:39048228
Tubes in dynamical systemsLi, Y. Charles (Department of Mathematics, University of Missouri, Columbia, MO 65211 (United States)), E-mail: cli@math.missouri.edu</br>Important concepts concerning tubes in dynamical systems are defined in details. In the cases of a homoclinic tube and a heteroclinically tubular cycle in autonomous systems, existence of tubular chaos is established. The main goal...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:47115572
How molecular motors extract order from chaos (a key issues review)Hoffmann, Peter M (Department of Physics and Astronomy, Wayne State University, 666 W Hancock, Detroit, MI 48201 (United States)), E-mail: hoffmann@wayne.edu</br>Molecular motors are the workhorses of living cells. Seemingly by ‘magic’, these molecules are able to complete purposeful tasks while being immersed in a sea of thermal chaos. Here, we review the current understanding of how these...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:39013845
Cryptanalysis and improvement on a block cryptosystem based on iteration a chaotic mapWang Yong (Department of Computer Science and Engineering, Chongqing University, Chongqing 400044 (China) and Chongqing University of Posts and Telecommunications, Chongqing 400065 (China)); Liao Xiaofeng (Department of Computer Science...</br>Recently, a novel block encryption system has been proposed as an improved version of the chaotic cryptographic method based on iterating a chaotic map. In this Letter, a flaw of this cryptosystem is pointed out and a chosen plaintext...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41008778
The generalized Q-S synchronization between the generalized Lorenz canonical form and the Roessler systemYang Yunqing (Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211 (China); Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080 (China)); Chen Yong (Nonlinear...</br>In this paper, we investigate the generalized Q-S synchronization between the generalized Lorenz canonical form and the Roessler system. Firstly, we transform an arbitrary generalized Lorenz system to the generalized Lorenz canonical...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:44112557
Multi-Synchronization Caused by Uniform Disorder for Globally Coupled MapsJing-Hui, Li (Faculty of science, PO Box 58, Ningbo University, Ningbo 315211 (China)), E-mail: lijinghui@nbu.edu.cn</br>We investigate the motion of the globally coupled maps (logistic map) driven by uniform disorder. It is shown that this disorder can produce multi-synchronization for the globally coupled chaotic maps studied by us. The disorder determines...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:51063831
A numerical estimate of the regularity of a family of Strange Non-Chaotic AttractorsAlsedà i Soler, Lluís; Mondelo González, Josep Maria; Romero i Sànchez, David (Departament de Matemàtiques, Edifici Cc, Universitat Autònoma de Barcelona, 08913 Cerdanyola del Vallès, Barcelona (Spain)), E-mail: alseda@mat.uab.cat,...</br>Highlights: • We give an algorithm to compute regularities of SNA’s based on tools of de la Llave–Petrov. • It uses the Keller convergence construction to the attractor. • It uses Daubechies Wavelets with 16 vanishing moments. • The...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:39013814
Cryptanalysis of chaotic stream cipherSkrobek, Adrian (Szczecin University of Technology, 71-210 Szczecin (Poland)), E-mail: askrobek@wi.ps.pl</br>In [N.S. Philip, K.B. Joseph, Chaos for stream cipher, cs.CR/0102012] Philip and Joseph propose their own cipher algorithm. An efficient attack on the values of the key of this cipher is presented in this Letter. Other weaknesses...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:42020471
The problem of singularities and chaos in cosmologyKamenshchik, Aleksandr Yu (Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow (Russian Federation))</br>No abstract available.
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41020641
Adaptive anti-synchronization of different chaotic dynamical systemsElabbasy, E.M. (Mathematics Department, Faculty of Science, Mansoura University, Mansoura 35516 (Egypt)); El-Dessoky, M.M. (Mathematics Department, Faculty of Science, Mansoura University, Mansoura 35516 (Egypt)), E-mail: emelabbasy@mans.edu.eg,...</br>We have observed anti-synchronization phenomena in different chaotic dynamical systems. Anti-synchronization can be characterized by the vanishing of the sum of relevant variables. Anti-synchronization problem for different chaotic...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:38071172
Three types of generalized synchronizationYang Junzhong (School of Science, Beijing University of Posts and Telecomunications, Beijing 100876 (China)); Hu Gang (China Center for Advanced Science and Technology (CCAST) (World Laboratory), PO Box 8730, Beijing 100080 (China)...</br>The roles played by drive and response systems on generalized chaos synchronization (GS) are studied. And the generalized synchronization is classified, based on these roles, to three distinctive types: the passive GS which is mainly...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:53080463
A multi-directional controllable multi-scroll conservative chaos generator: Modelling, analysis, and FPGA implementationDong En-Zeng; Li Rong-Hao (Tianjin Key Laboratory for Control Theory & Applications in Complicated Systems, Tianjin University of Technology, Tianjin 300384 (China)); Du Sheng-Zhi (Department of Electrical Engineering, Tshwane University...</br>Combing with the generalized Hamiltonian system theory, by introducing a special form of sinusoidal function, a class of <i>n</i>-dimensional (<i>n</i> = 1,2,3) controllable multi-scroll conservative chaos with complicated dynamics...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:48042528
Chaos limits predictability of hurricane intensitiesFitzgerald, Richard J.</br>No abstract available.
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41020501
GM(1,1) grey prediction of Lorenz chaotic systemZhang Yagang (Key Laboratory of Power System Protection and Dynamic Security Monitoring and Control under Ministry of Education, North China Electric Power University, Box 205, Baoding, Hebei 071003 (China) and Center for Nonlinear...</br>The grey prediction of Lorenz chaotic system will be discussed carefully in this paper. We are mainly using GM(1,1) model to predict data sequences, and the usual prediction precision has exceeded 90%. In the symbolic prediction of...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:46038443
Dimensions of structurally stable and critical strange non-chaotic attractorsAdamson, L N C; Osbaldestin, A H (Department of Mathematics, University of Portsmouth, Portsmouth, PO1 3HF (United Kingdom)), E-mail: luke.adamson@port.ac.uk, E-mail: andrew.osbaldestin@port.ac.uk</br>We provide evidence that the box-counting dimension of a structurally stable strange non-chaotic attractor (SNA) of pinched skew product type is equal to 2 by showing that it has non-negligible area. The argument presented is made...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:49087837
Communication with unstable basis functionsCarroll, Thomas L., E-mail: thomas.carroll@nrl.navy.mil</br>Highlights: • Corron et al. developed a chaotic system whose signal could be described by a linear combination of basis functions. • They were able to build a matched filter for their system. • This paper uses the ideal of basis functions...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:47105974
A-coupled-expanding and distributional chaosKim, Cholsan (Department of Mathematics, Harbin Institute of Technology, Harbin 150001 (China); Faculty of Mathematics, Kim Il Sung University, Pyongyang, Democratic People’s Republic of Korea (Korea, Republic of)); Ju, Hyonhui (Faculty...</br>The concept of A-coupled-expanding maps is one of the more natural and useful ideas generalized from the horseshoe map which is commonly known as a criterion of chaos. It is well known that distributional chaos is one of the concepts...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:39048323
Cryptanalysis of the public key encryption based on multiple chaotic systemsZhang Linhua (College of Mathematics and Computer, Chongqing Normal University, Chongqing, 400047 (China)), E-mail: Linzhang@cqu.edu.cn</br>Recently, Ranjan proposed a novel public key encryption technique based on multiple chaotic systems [Phys Lett 2005;95]. Unfortunately, Wang soon gave a successful attack on its special case based on Parseval's theorem [Wang K, Pei...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:51116972
Border collisions inside the stability domain of a fixed pointAvrutin, Viktor (Institute for Systems Theory and Automatic Control, University of Stuttgart, Pfaffenwaldring 9, 70550 Stuttgart (Germany)); Zhusubaliyev, Zhanybai T. (Department of Computer Science, Southwest State University, 50...</br>Highlights: • Unraveling the bifurcation structure of a single-phase H-bridge inverter. • Demonstration of regular structures formed by persistence border-collision curves. • Detection of qualitatively different regions inside the...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:40070651
Chaos: a topic for interdisciplinary education in physicsBae, Saebyok (Institute for Gifted Students, KAIST Korea Advanced Institute of Science and Technology, 335 Gwahangno, Yuseong-gu, Daejeon 305-701 (Korea, Republic of)), E-mail: sbae@kaist.edu</br>Since society and science need interdisciplinary works, the interesting topic of chaos is chosen for interdisciplinary education in physics. The educational programme contains various university-level activities such as computer simulations,...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41014407
Chaotically encoded particle swarm optimization algorithm and its applicationsAlatas, Bilal (Department of Computer Engineering, Firat University, 23119 Elazig (Turkey)); Akin, Erhan (Department of Computer Engineering, Firat University, 23119 Elazig (Turkey)), E-mail: balatas@firat.edu.tr, E-mail: eakin@firat.edu.tr</br>This paper proposes a novel particle swarm optimization (PSO) algorithm, chaotically encoded particle swarm optimization algorithm (CENPSOA), based on the notion of chaos numbers that have been recently proposed for a novel meaning...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:44112553
Theory and Applications of Discontinuous State Feedback Generating Chaos for Linear SystemsXiao-Dan, Zhang; Zhen, Wang; Pin-Dong, Zhao (Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083 (China)), E-mail: bkdzxd@163.com</br>We investigate a kind of chaos generating technique on a type of n-dimensional linear differential systems by adding feedback control items under a discontinuous state. This method is checked with some examples of numeric simulation....
http://inis.iaea.org/Search/search.aspx?orig_q=RN:51116929
Entropy rates of low-significance bits sampled from chaotic physical systemsCorron, Ned J.; Cooper, Roy M.; Blakely, Jonathan N. (Charles M. Bowden Laboratory, U.S. Army Research, Development and Engineering Command, Redstone Arsenal, AL 35898 (United States)), E-mail: ned.j.corron.civ@mail.mil</br>Highlights: • Entropy of low-significance bits in digital measurements of chaos is examined. • Low-significance bits yield a two-symbol partition with a corrugated structure. • Corrugation at low-significance bits better approximates...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:53080703
Control of chaos in Frenkel–Kontorova model using reinforcement learningLei You-Ming; Han Yan-Yan (School of Mathematics and Statistics, Northwestern Polytechnical University, Xi’an 710072 (China)), E-mail: leiyouming@nwpu.edu.cn</br>It is shown that we can control spatiotemporal chaos in the Frenkel–Kontorova (FK) model by a model-free control method based on reinforcement learning. The method uses <i>Q</i>-learning to find optimal control strategies based on...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:35056086
Chaos in the fractional order Chen system and its controlLi Chunguang; Chen Guanrong, E-mail: cgli@uestc.edu.cn, E-mail: gchen@ee.cityu.edu.hk</br>In this letter, we study the chaotic behaviors in the fractional order Chen system. We found that chaos exists in the fractional order Chen system with order less than 3. The lowest order we found to have chaos in this system is 2.1....
http://inis.iaea.org/Search/search.aspx?orig_q=RN:48041498
Persistent topological features of dynamical systemsMaletić, Slobodan (Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen (China); Institute of Nuclear Sciences Vinča, University of Belgrade, Belgrade (Serbia)); Zhao, Yi (Shenzhen Graduate School, Harbin Institute of...</br>Inspired by an early work of Muldoon et al., Physica D 65, 1–16 (1993), we present a general method for constructing simplicial complex from observed time series of dynamical systems based on the delay coordinate reconstruction procedure....
http://inis.iaea.org/Search/search.aspx?orig_q=RN:47062638
On a strong dense periodicity property of shifts of finite typeDzul-Kifli, Syahida Che; Al-Muttairi, Hassan (School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia (Malaysia))</br>There are various definitions of chaotic dynamical systems. The most utilized definition of chaos is Devaney chaos which isolates three components as being the essential features of chaos; transitivity, dense periodic points and sensitive...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41020338
Cryptanalysis of an image encryption scheme based on a new total shuffling algorithmArroyo, David (Instituto de Fisica Aplicada, Consejo Superior de Investigaciones Cientificas, Serrano 144, 28006 Madrid (Spain)); Li Chengqing (Department of Electronic Engineering, City University of Hong Kong, 83 Tat Chee Avenue,...</br>Chaotic systems have been broadly exploited through the last two decades to build encryption methods. Recently, two new image encryption schemes have been proposed, where the encryption process involves a permutation operation and...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41008906
Inverse lag synchronization in chaotic systemsLi Guohui (Department of Communication Engineering, Shanghai University, Yanchang Road 149, Shanghai 200072 (China)), E-mail: shghlee@163.com</br>A novel inverse lag synchronization is proposed, where a driven chaotic system anti-synchronizes to the past state of the driver. From observer theory, the slave system is designed. The method is tested on the famous hyperchaotic...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:51036891
Dynamical Borel–Cantelli lemmas and rates of growth of Birkhoff sums of non-integrable observables on chaotic dynamical systemsCarney, Meagan; Nicol, M (Department of Mathematics, University of Houston, Houston TX (United States)), E-mail: meagan@math.uh.edu, E-mail: nicol@math.uh.edu</br>We consider implications of dynamical Borel–Cantelli lemmas for rates of growth of Birkhoff sums of non-integrable observables <math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>φ<!-- ?? --></mi> <mo stretchy="false">(</mo>...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41020245
Meso-structures of dynamical chaos and E-infinity theoryMukhamedov, A.M. (Kazan State Technical University named after A.N.Tupolev, Chetaev Street 18, Kazan (Russian Federation)), E-mail: alfared@yandex.ru</br>A novel proposal is made to develop a unified theory of dynamical chaos using an idea of extra-coordinates. It is supposed that chaos is capable to translate influences from quantum level of description to the classical macroscopic...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41020680
Coding theory on the m-extension of the Fibonacci p-numbersBasu, Manjusri (Department of Mathematics, University of Kalyani, Kalyani 741235 (India)); Prasad, Bandhu (Department of Mathematics, University of Kalyani, Kalyani 741235 (India)), E-mail: manjusri_basu@yahoo.com, E-mail: bandhu_iit@rediffmail.com</br>In this paper, we introduce a new Fibonacci G<sub>p,m</sub> matrix for the m-extension of the Fibonacci p-numbers where p (≥0) is integer and m (>0). Thereby, we discuss various properties of G<sub>p,m</sub> matrix and the coding...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41008878
On the state reconstructor design for a class of chaotic systemsSun, Y.-J. (Department of Electrical Engineering, I-Shou University Kaohsiung, 840 Kaohsiung, Taiwan (China)), E-mail: yjsun@isu.edu.tw</br>In this paper, a class of chaotic systems is considered and the state reconstruction problem of such systems is investigated. Based on the time-domain approach, a state reconstructor for a class of chaotic systems is proposed to guarantee...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41014359
Establishing the existence of a distance-based upper bound for a fuzzy DEA model using dualitySoleimani-damaneh, M. (School of Mathematics, Statistics and Computer Science, University College of Science, University of Tehran, Enghelab Avenue, Tehran (Iran, Islamic Republic of)), E-mail: soleimani_d@yahoo.com</br>In a recent paper [Soleimani-damaneh M. Fuzzy upper bounds and their applications. Chaos, Solitons and Fractals 2008;36:217-25.], I established the existence of a distance-based fuzzy upper bound for the objective function of a fuzzy...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:38072880
SLE description of the nodal lines of random wavefunctionsBogomolny, E; Dubertrand, R; Schmit, C (CNRS, Universite Paris-Sud, UMR 8626, Laboratoire de Physique Theorique et Modeles Statistiques, 91405 Orsay (France))</br>The nodal lines of random wavefunctions are investigated. We demonstrate numerically that they are well approximated by the so-called SLE<sub>6</sub> curves which describe the continuum limit of the percolation cluster boundaries....
http://inis.iaea.org/Search/search.aspx?orig_q=RN:38014871
Hopf bifurcation in the Lorenz-type chaotic systemYan Zhenya (Key Laboratory of Mathematics Mechanization, Institute of Systems Science, AMSS, Chinese Academy of Sciences, Beijing 100080 (China)), E-mail: zyyan@mmrc.iss.ac.cn</br>In this paper, we analyze dynamical behaviors of the Lorenz-type system via the complementary-cluster energy-barrier criterion. Moreover the Hopf bifurcation of this system is also investigated by means of the first Lyapunov coefficient....
http://inis.iaea.org/Search/search.aspx?orig_q=RN:44095643
On the validity of the 0–1 test for chaosGottwald, Georg A (School of Maths and Stats, University of Sydney, NSW 2006 (Australia)); Melbourne, Ian (Department of Maths, University of Surrey, Guildford GU2 7XH (United Kingdom))</br>In this paper, we present a theoretical justification of the 0–1 test for chaos. In particular, we show that with probability one, the test yields 0 for periodic and quasiperiodic dynamics, and 1 for sufficiently chaotic dynamics
http://inis.iaea.org/Search/search.aspx?orig_q=RN:48041320
Controlling chaos-assisted directed transport via quantum resonanceTan, Jintao; Zou, Mingliang; Luo, Yunrong; Hai, Wenhua (Department of Physics and Key Laboratory of Low-dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha 410081, China and...</br>We report on the first demonstration of chaos-assisted directed transport of a quantum particle held in an amplitude-modulated and tilted optical lattice, through a resonance-induced double-mean displacement relating to the true classically...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:47105980
Erratum to: “Simple chaotic flows with a line equilibrium” [Chaos, Solitons and Fractals 57 (2013) 79–84]Jafari, Sajad (Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413 (Iran, Islamic Republic of)); Sprott, J.C. (Department of Physics, University of Wisconsin, Madison, WI 53706 (United States)),...</br>No abstract available.
http://inis.iaea.org/Search/search.aspx?orig_q=RN:49087694
Synchronization of uncertain chaotic systems via complete-adaptive-impulsive controlsLi, Xian-Feng (School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou (China)); Chu, Yan-Dong (School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou (China)); Leung, Andrew Y.T. (Department of Architecture...</br>The paper presents a novel synchronization scheme for uncertain chaotic systems via complete-adaptive-impulsive controls. The controllers are designed in the form of linear-error feedback coupling, but the control gains are completely...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:53060199
Design and Synchronization of Chaotic System using Threshold Controller CouplingBiswas, Namrata (Department of Electronics and Communication Engineering, BSA Crescent Institute of Science and Technology, Chennai (India)); Raja Mohamed, I. (Department of Physics, BSA Crescent Institute of Science and Technology,...</br>A new autonomous chaotic system is designed from the Lorenz family of systems and studied its dynamics both theoretically and numerically. Then two such systems are synchronized using a threshold controller as the coupling element...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:51023488
Fractional analysis of co-existence of some types of chaos synchronizationOuannas, Adel (Department of Mathematics and Computer Science, University of Larbi Tebessi, Tebessa, 12002 (Algeria)); Odibat, Zaid (Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 19117 (Jordan);...</br>Chaotic dynamics and synchronization of fractional-order systems have attracted much attention recently. Based on stability theory of fractional-order systems and stability theory of integer-order systems, this paper deals with the...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:47053201
Exploiting chaos for applicationsDitto, William L. (Department of Physics and Astronomy, University of Hawaii at Mānoa, Honolulu, Hawaii 96822 (United States)); Sinha, Sudeshna (Indian Institute of Science Education and Research (IISER), Mohali, Knowledge City, Sector...</br>We discuss how understanding the nature of chaotic dynamics allows us to control these systems. A controlled chaotic system can then serve as a versatile pattern generator that can be used for a range of application. Specifically,...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:48100971
Accurate determination of heteroclinic orbits in chaotic dynamical systemsLi, Jizhou; Tomsovic, Steven (Department of Physics and Astronomy, Washington State University, Pullman, WA 99164-2814, United States of America (United States)), E-mail: jizhou.li@wsu.edu</br>Accurate calculation of heteroclinic and homoclinic orbits can be of significant importance in some classes of dynamical system problems. Yet for very strongly chaotic systems initial deviations from a true orbit will be magnified...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:40046697
Crisis-induced unstable dimension variability in a dynamical systemKubo, Geraldo T. (Departamento de Fisica, Universidade Federal do Parana, 81531-990, Curitiba, Parana (Brazil)); Viana, Ricardo L. (Departamento de Fisica, Universidade Federal do Parana, 81531-990, Curitiba, Parana (Brazil)); Lopes,...</br>Unstable dimension variability is an extreme form of non-hyperbolic behavior in chaotic systems whose attractors have periodic orbits with a different number of unstable directions. We propose a new mechanism for the onset of unstable...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41112916
A simple observer design of the generalized Lorenz chaotic systemsSun, Y.-J. (Department of Electrical Engineering, I-Shou University, Kaohsiung, Taiwan 840, Taiwan (China)), E-mail: yjsun@isu.edu.tw</br>In this Letter, the generalized Lorenz chaotic system is considered and the state observation problem of such a system is investigated. Based on the time-domain approach, a simple observer for the generalized Lorenz chaotic system...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:39014103
Theory and practice of chaotic cryptographyAmigo, J.M. (Centro de Investigacion Operativa, Universidad Miguel Hernandez, Avda. de la Universidad, 03202 Elche (Spain)); Kocarev, L. (Institute for Nonlinear Science, University of California, San Diego, 9500 Gilman Drive, La...</br>In this Letter we address some basic questions about chaotic cryptography, not least the very definition of chaos in discrete systems. We propose a conceptual framework and illustrate it with different examples from private and public...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:43054521
LYAPUNOV AND DIFFUSION TIMESCALES IN THE SOLAR NEIGHBORHOODShevchenko, Ivan I. (Pulkovo Observatory of the Russian Academy of Sciences, Pulkovskoje Avenue 65, St. Petersburg 196140 (Russian Federation)), E-mail: iis@gao.spb.ru</br>We estimate the Lyapunov times (characteristic times of predictability of motion) in Quillen's models for the dynamics in the solar neighborhood. These models take into account perturbations due to the Galactic bar and spiral arms....
http://inis.iaea.org/Search/search.aspx?orig_q=RN:40049794
On some properties of the discrete Lyapunov exponentAmigo, Jose M. (Centro de Investigacion Operativa, Universidad Miguel Hernandez Avda. de la Universidad s/n. 03202 Elche (Spain)); Kocarev, Ljupco (Macedonian Academy of Sciences and Arts, Skopje (Macedonia, The Former Yugoslav Republic...</br>One of the possible by-products of discrete chaos is the application of its tools, in particular of the discrete Lyapunov exponent, to cryptography. In this Letter we explore this question in a very general setting
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41008722
On computing Poincare map by Henon methodPalaniyandi, P. (Centre for Nonlinear dynamics, School of Physics, Bharathidasan University, Tiruchirapalli 620 024 (India)), E-mail: palani@cnld.bdu.ac.in</br>The trajectory of the autonomous chaotic system deviates from the original path leading to a deformation in its attractor while calculating Poincare map using the method presented by Henon [Henon M. Physica D 1982;5:412]. Also, the...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41020624
A novel method for one-way hash function construction based on spatiotemporal chaosRen Haijun (College of Software Engineering, Chongqing University, Chongqing 400044 (China); State Key Laboratory of Power Transmission Equipment and System Security and New Technology, Chongqing University, Chongqing 400044 (China));...</br>A novel hash algorithm based on a spatiotemporal chaos is proposed. The original message is first padded with zeros if needed. Then it is divided into a number of blocks each contains 32 bytes. In the hashing process, each block is...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:39000074
Li-Yorke chaos in a spatiotemporal chaotic systemLi Ping (Faculty of Electrical and Computer Engineering, FernUniversitaet in Hagen, 58084 Hagen (Germany)); Li Zhong (Faculty of Electrical and Computer Engineering, FernUniversitaet in Hagen, 58084 Hagen (Germany)); Halang, Wolfgang...</br>This paper presents a rigorous proof to the existence of chaos in the sense of Li-Yorke in a spatiotemporal chaotic system, i.e., a coupled map lattice. It therefore lays a theoretical foundation for further study and exploitation...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:40014447
Quasi-cycles and sensitive dependence on seed values in edge of chaos behaviour in a class of self-evolving mapsSingh, Brajendra K. (Department of Infectious Disease Epidemiology, Imperial College London, St. Mary's Campus, London W2 1PG (United Kingdom); Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan (China)); Gambhir,...</br>In a recent paper [Melby P, Kaidel J, Weber N, Hubler A. Adaptation to the edge of chaos in the self-adjusting logistic map. Phys Rev Lett 2000;84:5991-3], Melby et al. attempted to understand edge of chaos behaviour through a very...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41014292
An exponential observer for the generalized Rossler chaotic systemSun, Y.-J. (Department of Electrical Engineering, I-Shou University, Kaohsiung 840, Taiwan (China)), E-mail: yjsun@isu.edu.tw</br>In this paper, the generalized Rossler chaotic system is considered and the state observation problem of such a system is investigated. Based on the time-domain approach, a state observer for the generalized Rossler chaotic system...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:46088558
Solving for the Fixed Points of 3-Cycle in the Logistic Map and Toward Realizing Chaos by the Theorems of Sharkovskii and Li—YorkeHoward, Lee M. (Department of Physics and Astronomy, University of Georgia, Athens, GA 30602 (United States)), E-mail: MHLee@uga.edu</br>Sharkovskii proved that, for continuous maps on intervals, the existence of 3-cycle implies the existence of all others. Li and Yorke proved that 3-cycle implies chaos. To establish a domain of uncountable cycles in the logistic map...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:48041069
Pseudorandom number generation using chaotic true orbits of the Bernoulli mapSaito, Asaki (Future University Hakodate, 116-2 Kamedanakano-cho, Hakodate, Hokkaido 041-8655 (Japan)); Yamaguchi, Akihiro (Fukuoka Institute of Technology, 3-30-1 Wajiro-higashi, Higashi-ku, Fukuoka 811-0295 (Japan)), E-mail: saito@fun.ac.jp</br>We devise a pseudorandom number generator that exactly computes chaotic true orbits of the Bernoulli map on quadratic algebraic integers. Moreover, we describe a way to select the initial points (seeds) for generating multiple pseudorandom...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:50012425
Compact finite difference relaxation method for chaotic and hyperchaotic initial value systemsMathale, D. (University of Johannesburg, Department of Mathematics (South Africa)); Dlamini, P. G. (University of Johannesburg, Department of Applied Physics and Engineering Mathematics (South Africa)); Khumalo, M. (University of...</br>In this paper, we present a new application of higher order compact finite differences to solve nonlinear initial value problems exhibiting chaotic behaviour. The method involves dividing the domain of the problem into multiple sub-domains,...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:46109717
Applications of modularized circuit designs in a new hyper-chaotic system circuit implementationWang Rui (Tianjin Key Laboratory for Civil Aircraft Airworthiness and Maintenance, Department of Electrical Engineering, College of Aeronautical Automation, Civil Aviation University of China, Tianjin 300300 (China)); Sun Hui (Department...</br>Modularized circuit designs for chaotic systems are introduced in this paper. Especially, a typical improved modularized design strategy is proposed and applied to a new hyper-chaotic system circuit implementation. In this paper,...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:46108318
Response to “Comment on ‘Dynamical glucometry: Use of multiscale entropy analysis in diabetes’” [Chaos 25, 058101 (2015)]Costa, Madalena D.; Goldberger, Ary L. (The Wyss Institute for Biologically Inspired Engineering at Harvard University, Boston, Massachusetts 02115 (United States); Beth Israel Deaconess Medical Center, Harvard Medical School, Boston,...</br>No abstract available.
http://inis.iaea.org/Search/search.aspx?orig_q=RN:48054971
Possibilities and testing of CPRNG in block cipher mode of operation PM-DC-LMZacek, Petr; Jasek, Roman; Malanik, David (Faculty of applied Informatics, Tomas Bata University in Zlin, Zlin, Czech Republic zacek@fai.utb.cz, jasek@fai.utb.cz, dmalanik@fai.utb.cz (Czech Republic))</br>This paper discusses the chaotic pseudo-random number generator (CPRNG), which is used in block cipher mode of operation called PM-DC-LM. PM-DC-LM is one of possible subversions of general PM mode. In this paper is not discussed the...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:40074846
Topology and statistics of formulae of arithmeticsArnol'd, Vladimir I (Steklov Mathematical Institute, Russian Academy of Sciences (Russian Federation))</br>This paper surveys some recent and classical investigations of geometric progressions of residues that generalize the little Fermat theorem, connect this topic with the theory of dynamical systems, and estimate the degree of chaotic...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41014463
Categorization of fractal plantsChandra, Munesh (Institute of Management Studies, Ghaziabad (India)); Rani, Mamta (Galgotias College of Engineering and Technology, Greater Noida (India)), E-mail: mun_esh@rediffmail.com, E-mail: mamtarsingh@rediffmail.com</br>Fractals in nature are always a result of some growth process. The language of fractals which has been created specifically for the description of natural growth process is called L-systems. Recently, superior iterations (essentially,...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:51084851
Scenarios of Transitions to Hyperchaos in Nonideal Oscillating SystemsShvets, A. Yu.; Sirenko, V. A. (“Sikorsky Kyiv Polytechnic Institute” Ukrainian National Technical University (Ukraine)), E-mail: alex.shvets@bigmir.net</br>We consider a class of nonideal oscillating (by Sommerfeld and Kononenko) dynamical systems and establish the existence of two types of hyperchaotic attractors in these systems. The scenarios of transitions from regular to chaotic...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:52034302
Chaos and Slow Earthquakes PredictabilityGualandi, A.; Avouac, J.P.; Michel, S.; Faranda, D.</br>Slow Slip Events (SSEs) are episodic slip events that play a significant role in the moment budget along a subduction megathrust. They share many similarities with regular earthquakes, and have been observed in major subduction regions...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:39048103
Chaos in the Newton-Leipnik system with fractional orderSheu, L.-J. (Department of Mechanical Engineering, Chung Hua University, No. 707, Wu-Fu Road, Sec. 2, Hsinchu 300, Taiwan (China)); Chen, H.-K. (Department of Industrial Engineering and Management, Hsiuping Institute of Technology,...</br>The dynamics of fractional-order systems has attracted increasing attention in recent years. In this paper, the dynamics of the Newton-Leipnik system with fractional order was studied numerically. The system displays many interesting...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:38071133
Practical impulsive synchronization of chaotic systems with parametric uncertainty and mismatchWen, C.Y. (School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 639798 (Singapore)); Ji, Y. (School of Electrical and Electronic Engineering, Nanyang Technological University,...</br>Recently, there has been increasing interest in the synchronization of two chaotic systems and some significant results have been reported. In these results, a strong assumption that the two chaotic systems should be identical, i.e.,...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41012800
Does the sign correlation of quasiperiodic oscillations with incommensurable frequencies generate deterministic chaos?Vladimirov, Sergei N (Tomsk State University, Tomsk (Russian Federation))</br>No abstract available.
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41008879
Cryptanalysis of a cryptographic scheme based on delayed chaotic neural networksYang Jiyun (Department of Computer Science and Engineering, Chongqing University, Chongqing 400044 (China)); Liao Xiaofeng (Department of Computer Science and Engineering, Chongqing University, Chongqing 400044 (China); Key Laboratory...</br>Recently, Yu et al. presented a new cryptographic scheme based on delayed chaotic neural networks. In this letter, a fundamental flaw in Yu's scheme is described. By means of chosen plaintext attack, the secret keystream used can...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:46066732
Existence of heteroclinic orbits in a novel three-order dynamical systemHu Yu; Min Le-Quan; Zhen Ping (Beijing University of Science and Technology, Beijing 100083 (China)), E-mail: 0605m@sina.com</br>In this paper, we design a novel three-order autonomous system. Numerical simulations reveal the complex chaotic behaviors of the system. By applying the undetermined coefficient method, we find a heteroclinic orbit in the system....
http://inis.iaea.org/Search/search.aspx?orig_q=RN:44095827
On sensitive sets in topological dynamicsYe Xiangdong; Zhang Ruifeng (Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026 (China)), E-mail: yexd@ustc.edu.cn, E-mail: rfzhang@mail.ustc.edu.cn</br>In this paper notions of sensitive sets (S-sets) and regionally proximal sets (Q-sets) are introduced. It is shown that a transitive system is sensitive if and only if there is an S-set with Card(S) ≥ 2, and for a transitive system...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:53045266
A Pilot Study of Chaos Criteria with Hilbert Transform and Mutual InformationChen, Yahui; Zhou, Yan; Li, Wenshi (Department of Microelectronic Engineering, School of Electronics and Information Engineering, Soochow University, Shizi Road No. 1, Suzhou City (China)), E-mail: lwshi@suda.edu.cn</br>Chaos feature criteria tree has many fruits with geometric maps and calculated values. To easily understand how to study chaos identification, we propose one new learning combination solution based on Hilbert transform (HT) and mutual...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:53087329
Acoustic wireless communication based on parameter modulation and complex Lorenz chaotic systems with complex parameters and parametric attractorsZhang Fang-Fang; Gao Rui (Department of Control Science and Engineering, Shandong University, Jinan 250061 (China)); Liu Jian (School of Mathematical Sciences, University of Jinan, Jinan 250022 (China)), E-mail: gaorui@sdu.edu.cn</br>As the competition for marine resources is increasingly fierce, the security of underwater acoustic communication has attracted a great deal of attention. The information and location of the communicating platform can be leaked during...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:44003874
Adaptive Feedback Stabilization with Quantized State Measurements for a Class of Chaotic SystemsWang Yinhe; Fan Yongqing; Zhang Yun (Faculty of Automation, Guangdong University of Technology, Guangzhou 510006 (China)); Wang Qingyun (Department of Dynamics and Control, Beihang University, Beijing 100191 (China)), E-mail: nmqingyun@163.com</br>We investigate asymptotical stabilization for a class of chaotic systems by means of quantization measurements of states. The quantizer adopted in this paper takes finite many values. In particular, one zoomer is placed at the input...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:39013872
Synchronization of fractional order chaotic systemsPeng, Guojun (Department of Mathematics, Hengyang Normal University, Hengyang 421008 (China)), E-mail: pgjat163@163.com</br>The chaotic dynamics of fractional order systems have attracted much attentions recently. In this Letter, we study the synchronization of the fractional order chaotic systems with a unidirectional linear error feedback coupling. The...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:51078629
Topological Transitivity for Sequences of Operators on the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>C</mi><mo>∗<!-- ??? --></mo></msup></math>-Algebra-Valued Lebesgue SpacesChen, Chung-Chuan (National Taichung University of Education, Department of Mathematics Education (China)); Tabatabaie, Seyyed Mohammad (University of Qom, Department of Mathematics (Iran, Islamic Republic of)), E-mail: chungchuan@mail.ntcu.edu.tw,...</br>Let <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>1</mn><mo>≤<!-- ??? --></mo><mi>p</mi><mo><</mo><mi mathvariant="normal">∞<!-- ??? --></mi></math>, and let <i>G</i> be a locally compact group....
http://inis.iaea.org/Search/search.aspx?orig_q=RN:53063944
A new hyperchaotic complex system and its synchronization realizationLi, Zhengfeng; Zhang, Fangfang; Zhang, Xue; Zhao, Yang (Department of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353 (China)), E-mail: zhengf_li@163.com, E-mail: zhff4u@163.com</br>In this paper, we propose a new hyperchaotic complex system and systematically study its basic dynamic characteristics such as dissipation, Lyapunov exponent, attractor, parameter changes, and <math xmlns="http://www.w3.org/1998/Math/MathML">...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:46108317
Comment on “Dynamical glucometry: Use of multiscale entropy analysis in diabetes” [Chaos 24, 033139 (2014)]Chen, Jin-Long (Department of Medical Informatics, Institute of Medical Sciences, Tzu Chi University, Hualien, Taiwan (China)), E-mail: jlchen@mail.tcu.edu.tw</br>No abstract available.
http://inis.iaea.org/Search/search.aspx?orig_q=RN:39099615
Discretization-induced delays and their role in the dynamicsRamani, A; Grammaticos, B; Satsuma, J; Willox, R (IMNC, Universites Paris VII-Paris XI, CNRS, UMR 8165, Bat. 104, 91406 Orsay (France))</br>We show that a discretization of a continuous system may entail 'hidden' delays and thus introduce instabilities. In this case, while the continuous system has an attractive fixed point, the instabilities present in the equivalent...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:46022599
Multi-objective optimization of short-term hydrothermal scheduling using non-dominated sorting gravitational search algorithm with chaotic mutationTian, Hao; Yuan, Xiaohui; Ji, Bin; Chen, Zhihuan, E-mail: yxh71@163.com</br>Highlights: • An improved non-dominated sorting gravitational search algorithm (NSGSA-CM) is proposed. • NSGSA-CM is used to solve the problem of short-term multi-objective hydrothermal scheduling. • We enhance the search capability...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:47052504
Introduction to Modern Dynamics: Chaos, Networks, Space and TimeNo abstract available.
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41008698
A simple observer of the generalized Chen chaotic systemsSun, Y.-J. (Department of Electrical Engineering, I-Shou University, Kaohsiung 840, Taiwan (China)), E-mail: yjsun@isu.edu.tw</br>In this paper, the generalized Chen chaotic system is considered and the state observation problem of such a system is investigated. Based on the time-domain approach, a simple observer for the generalized Chen chaotic system is proposed...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41013244
An example of a fractal set of plane directions having chaotic intersections with a fixed 3-periodic surfaceLeo, R De (INFN - National Institute of Nuclear Physics, Sezione di Cagliari (Italy)); Dynnikov, I A (M.V. Lomonosov Moscow State University, Moscow (Russian Federation))</br>No abstract available.
http://inis.iaea.org/Search/search.aspx?orig_q=RN:39048339
Chaos synchronization in some power systemsShahverdiev, E.M. (Institute of Physics, 33, H. Javid Avenue, Baku AZ1143 (Azerbaijan)); Hashimova, L.H.; Hashimova, N.T. (Institute of Physics, 33, H. Javid Avenue, Baku AZ1143 (Azerbaijan)), E-mail: shahverdiev@physics.ab.az</br>We investigate chaos synchronization between two uni-directionally coupled simple chaotic ODE and DDE power systems and find numerically the coupling strengths necessary for the synchronization between the systems to occur
http://inis.iaea.org/Search/search.aspx?orig_q=RN:53035901
Chaotic polynomial mapsZhang, Xu (School of Mathematics and Statistics, Shandong University Weihai 264209, Shandong (China)), E-mail: xu_zhang_sdu@mail.sdu.edu.cn</br>The existence of Smale horseshoes in a class of random polynomial maps on the plane is studied. The conditions under which there are invariant sets on which the maps are topologically conjugate with the fullshift on two symbols are...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:38014793
Shift spaces and distributional chaosOprocha, Piotr (Faculty of Applied Mathematics, AGH University of Science and Technology, al. Mickiewicza 39, 30-059 Cracow (Poland) and Institute of Mathematics, Jagiellonian University, ul. Reymonta 4, 30-059 Cracow (Poland)); Wilczynski,...</br>We give sufficient conditions for a shift to be distributionally chaotic and chaotic in the sense of Li and Yorke. In the case of cocyclic shifts we show the equivalence between distributional chaos, chaos in the sense of Li and Yorke,...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41014322
On the synchronization of uncertain master-slave chaotic systems with disturbanceWang Bo (School of Communication and Information Engineering, University Electronic Science and Technology of China, Chengdu 610054 (China)); Wen Guangjun (School of Communication and Information Engineering, University Electronic...</br>This paper focuses on the synchronization of a class of master-slave chaotic systems with uncertainty and disturbance. A sliding surface is adopted newly to ensure the stability of the error dynamics in sliding mode and a dynamic...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:44095815
Some open problems in real and complex dynamical systemsIlyashenko, Yu (Department of Mathematics, Cornell University, Ithaca, NY 14853 (United States); Moscow State and Independent Universities, Steklov Mathematics Institute, Moscow (Russian Federation))</br>Theory of dynamical systems may be split into two parts. The larger one, dealing with multidimensional systems: flows in dim 3 and higher, diffeomorphisms in dim 2 and higher, may be called the realm of chaos. The smaller one, dealing...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:43054888
Scientific basis of development and application of nanotechnologies in oil industryMirzajanzadeh, A. (Azerbaijan National Academy of Sciences (ANAS), Baku (Azerbaijan)); Maharramov, A. (Baku State University (BSU), Baku (Azerbaijan)); Abdullayev, R.; Yuzifzadeh, Kh.; Shahbazov, E.; Qurbanov, R.; Akhmadov, S.; Kazimov,...</br>State Oil Company of Azerbaijan Republic, Baku (Azerbaijan). Funding organisation: Azerbaijan Republic Ministry of Education, Baku (Azerbaijan)</br>Development and introduction of nanotechnologies in the oil industry is one of the most pressing issues of the present times.For the first time in the world practice scientific-methodological basis and application practice of nanotechnologies...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41126510
Preference of Chaotic Synchronization in a Coupled Laser SystemZhou Yun; Zhu Shiqun; Wu Liang (School of Physical Science and Technology, Suzhou University, Suzhou 215006 (China)), E-mail: szhu@suda.edu.cn</br>In a coupled laser system, the dynamics of the receiving laser is investigated when two separate transmitting lasers are injected into the receiving laser with different coupling strengths. It is shown that the phenomenon of preference...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:40070933
Signatures of quantum chaos in the magneto-excitonic spectrum of quantum wellsVina, L (Universidad Autonoma de Madrid, Madrid (Spain)); Potemski, M (High Magnetic Fields Laboratory, Grenoble (France)); Wang, W I (Columbia University, New York (United States))</br>No abstract available.