[en] 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 like, for example, Cascadia, Japan, Mexico, New Zealand. They show striking regularity, suggesting that it might be possible to forecast their size and timing, but the prediction of their extension and exact timing is still yet to come.

[en] Although chaotic signals are considered to have great potential applications in radar and communication engineering, their broadband spectrum makes it difficult to design an applicable amplifier or an attenuator for amplitude conditioning. Moreover, the transformation between a unipolar signal and a bipolar signal is often required. In this paper, a more intelligent hardware implementation based on field programmable analog array (FPAA) is constructed for chaotic systems with complete amplitude control. Firstly, two chaotic systems with complete amplitude control are introduced, one of which has the property of offset boosting with total amplitude control, while the other has offset boosting and a parameter for partial control. Both cases can achieve complete amplitude control including amplitude rescaling and offset boosting. Secondly, linear synchronization is established based on the special structure of chaotic system. Finally, experimental circuits are constructed on an FPAA where the predicted amplitude control is realized through only two independent configurable analog module (CAM) gain values. (paper)

[en] It is known that dissipative chaos might satisfy scaling invariance. We discuss this statement from point of view of quantum-classical transition for a model of anharmonic driven dissipative oscillator with time-modulated parameters. We apply the scaling ideology to study the ranges of chaos in quantum and semiclassical dynamics. Chaotic dynamics is analyzed numerically within framework of both the Poincaré section in classical description and the Poincaré section of a single trajectory in quantum description. We concentrate on analysis of nontrivial regimes for which the system has chaotic behavior in quantum treatment, while the dynamics is not chaotic in classical description.

[en] The paper considers chaotic behavior of dynamical systems typical for social and economic processes. Approaches to analysis and evaluation of system development processes are studies from the point of view of controllability and determinateness. Explanations are given for necessity to apply non-standard mathematical tools to explain states of dynamical social and economic systems on the basis of fractal theory. Features of fractal structures, such as non-regularity, self-similarity, dimensionality and fractionality are considered. (paper)

[en] We use the Melnikov method to identify chaotic behavior in geodesic motion perturbed by the minimal length effects around a Schwarzschild black hole. Unlike the integrable unperturbed geodesic motion, our results show that the perturbed homoclinic orbit, which is a geodesic joining the unstable circular orbit to itself, becomes chaotic in the sense that Smale horseshoes chaotic structure is present in phase space.

[en] Complexity analysis of fractional-order chaotic systems is an interesting topic of recent years. In this paper, the fractional symbolic network entropy measure algorithm is designed in which the symbol networks are built and fractional generalized information is introduced. Complexity of the fractional-order chaotic systems is analyzed. It shows that the proposed algorithm is effective for measure complexity of different pseudo random sequences. Complexity decreases with the decrease of derivative order in the fractional-order discrete chaotic system while changes with the derivative order in the fractional-order continuous chaotic system. Moreover, basin of attraction is also determined by the derivative order. It provides a basis for parameter choice of the fractional-order chaotic systems in the real applications. (paper)

[en] Two different versions of Bethe ansatz are suggested for evaluation of scattering two-magnon states in 2D and 3D Heisenberg–Ising ferromagnets on square and simple cubic lattices. It is shown that the two-magnon sector is subdivided on two subsectors related to non-interacting and scattering magnons. The former subsector possess an integrable regular dynamics and may be described by a natural modification of the usual Bethe Ansatz. The latter one is characterized by a non-integrable chaotic dynamics and may be treated only within discrete degenerative version of Bethe Ansatz previously suggested by the author. Some of these results are generalized for multi-magnon states of the Heisenberg–Ising ferromagnet on a D dimensional hyper cubic lattice. (paper: quantum statistical physics, condensed matter, integrable systems)

[en] In this paper, we propose a novel quantum secret image-sharing scheme which constructs m quantum secret images into m+1 quantum share images. A chaotic image generated by the logistic map is utilized to assist in the construction of quantum share images first. The chaotic image and secret images are expressed as quantum image representation by using the novel enhanced quantum representation. To enhance the confidentiality, quantum secret images are scrambled into disordered images through the Arnold transform. Then the quantum share images are constructed by performing a series of quantum swap operations and quantum controlled-NOT operations. Because all quantum operations are invertible, the original quantum secret images can be reconstructed by performing a series of inverse operations. Theoretical analysis and numerical simulation proved both the security and low computational complexity of the scheme, which has outperformed its classical counterparts. It also provides quantum circuits for sharing and recovery processes. (paper)

[en] This study investigates the reconstruction of self-similar chaotic attractors and virtual functions by mean of fractal interpolation function by choosing vertical scaling parameter as a continuous function on the interval of interpolation. We describe a procedure for the reconstruction of Lorenz attractor and claim that the flexibility on the choice of vertical scaling produce smoother and non-smooth fractal functions which reconstruct the self-affine Lorenz attractor. Apart from approximation and visualization, this paper facilitates fractal function to interact with chaotic systems for proper mild conditions on scaling parameter of fractal functions. (paper)

[en] This contribution to Quarks-2018 conference proceedings is based on the talk presenting papers at the conference. These papers are devoted to the holographic description of chaos and quantum complexity in the strongly interacting systems out of equilibrium. In the first part of the talk we present different holographic complexity proposals in out-of-equilibrium CFT following the local perturbation. The second part is devoted to the chaotic growth of the local operator at a finite chemical potential. There are numerous results stating that the chemical potential may lead to the chaos disappearance, and we confirm the results from holography. (author)