[en] It was recently suggested that the error with respect to experimental data in nuclear mass calculations is due to the presence of chaotic motion. The theory was tested by analyzing the typical error size. A more sensitive quantity, the correlations of the mass error between neighboring nuclei, is studied here. The results provide further support to this physical interpretation

[en] This letter reports the experimental confirmation of a new chaotic attractor, which is a transition system between the Lorenz and the Chen systems. It is noticed that this realization is different from that of Chen's system. By adjusting an adjustable resistor in this simple circuit, both Lorenz and Chen attractors can be observed by oscilloscope. Experimental results verify the effectiveness of the new chaotic attractors

[en] The stability conditions in fractional order hyperchaotic systems are derived. These conditions are applied to a novel fractional order hyperchaotic system. The proposed system is also shown to exhibit hyperchaos for orders less than 4. Based on the Routh-Hurwitz conditions, the conditions for controlling hyperchaos via feedback control are also obtained. A specific condition for controlling only fractional order hyperchaotic systems is achieved. Numerical simulations are used to verify the theoretical analysis.

[en] In this paper, observations of the long-term geoelectric potential difference are presented based on data collected during a six-year (1998-2003) investigating period. Moreover, this paper constitutes a continuation of a previously published work with five-year (1993-1997) experimental data. For data logging purposes, an automatic system for collection of geoelectric measurements operates at the Seismological Laboratory of the University of Patras. The analysis of these data using Lyapunov exponents and Takens estimator confirm their quite chaotic behavior. The Lyapunov exponents have also been calculated for short periods of fifteen days, ten days before and five days after the earthquakes occurred during this six-year period. By thorough examination of the resulting Lyapunov spectrums, it seems that these are subject to possible changes prior to an earthquake

[en] Recently, papers have appeared that champion the Bayesian approach to the analysis of experimental data. From reading these papers, the physicist could be forgiven for believing that Bayesian methods reveal deep truths about physical systems and are the correct paradigm for the analysis of all experimental data. This paper makes a contrary argument and is deliberately provocative. It is argued that the Bayesian approach to reconstruction of chaotic time series is fundamentally flawed, and the apparent successes result not from any degree of correctness of the paradigm, but by an accidental and unintended property of an algorithm. We also argue that (non-Bayesian) shadowing techniques provide all the information the erroneous Bayesian methods obtain, but much more efficiently, and also provide a wealth of additional useful information

[en] Here we review and extend central limit theorems for chaotic deterministic semi-dynamical discrete time systems. We then apply these results to show how Brownian motion-like behavior can be recovered and how an Ornstein-Uhlenbeck process can be constructed within a totally deterministic framework. These results illustrate that under certain circumstances the contamination of experimental data by 'noise' may be alternately interpreted as the signature of an underlying chaotic process

[en] Universal formulations for four types of discrete chaotic processes that generate (preserve) uniform invariant density are provided. Characterizations such as necessary and/or sufficient conditions are established. It is revealed that such processes are 'invariant' with branch-mirroring and horizontal mirroring. In addition, horizontally linear combinations of such processes remain to be in the same family. Theoretical findings are well verified by the computer simulations

[en] Below is a review of the results of theoretical and numerical studies of the special part that low-frequency secondary harmonics occurring in sum and in difference of the fundamental frequencies being a part of the Hamiltonian may play in the nonlinear Hamiltonian systems. A pendulum the perturbation of which is represented in the Hamiltonian by two asymmetrical harmonics with high and module close frequencies is used as an example. One derived analytical expression of the secondary harmonic contribution into amplitude of separatrix representation of the mentioned system and used the mentioned expression to study the case of rather low secondary frequencies ignored previously. One specifies the regions where amplitude of the separatrix representation increases linearly with frequency, while the dimensions of the chaotic layer does not depend on it. One presents the comparison of theoretical and numerical study results

[en] A brief review is presented of some recent findings in the theory of chaotic dynamics. We also prove a statement that could be naturally considered as a dual one to the Poincaré theorem on recurrences. Numerical results demonstrate that some parts of the phase space of chaotic systems are more likely to be visited earlier than other parts. A new class of chaotic focusing billiards is discussed that clearly violates the main condition considered to be necessary for chaos in focusing billiards

No abstract available