Dynamical chaos and uniformly hyperbolic attractors: from mathematics to physics

SP Kuznetsov - Physics-Uspekhi, 2011 - iopscience.iop.org
Research is reviewed on the identification and construction of physical systems with chaotic
dynamics due to uniformly hyperbolic attractors (such as the Plykin attraction or the Smale …

Extreme multistability arising from periodic repetitive bifurcation behavior in a hyperchaotic oscillator

X Wang, J Mou, H Jahanshahi, ND Alotaibi, X Bi - Nonlinear Dynamics, 2023 - Springer
Meminductor and memcapacitor are two newly defined nonlinear circuit elements. It is
significant to investigate the properties of nonlinear circuits by applying their models to real …

Synchronization realization between two nonlinear circuits via an induction coil coupling

Z Yao, J Ma, Y Yao, C Wang - Nonlinear Dynamics, 2019 - Springer
Nonlinear chaotic circuits can be mapped into dimensionless dynamical systems by
applying scale transformation. For synchronization control, linear voltage coupling via …

Synchronization of delay-coupled oscillator networks

VV Klinshov, VI Nekorkin - Physics-Uspekhi, 2013 - iopscience.iop.org
Research on the synchronization of delay-coupled oscillator networks is reviewed. A
number of key research approaches using different models and methods are described, and …

A deep reinforcement learning method to control chaos synchronization between two identical chaotic systems

H Cheng, H Li, Q Dai, J Yang - Chaos, Solitons & Fractals, 2023 - Elsevier
We propose a model-free deep reinforcement learning method for controlling the
synchronization between two identical chaotic systems, one target and one reference. By …

Chaotic communication system with symmetry-based modulation

T Karimov, V Rybin, G Kolev, E Rodionova, D Butusov - Applied Sciences, 2021 - mdpi.com
Communication systems based on chaotic synchronization are gaining interest in the area of
secure and covert data transmission. In this paper, a novel digital communication technique …

Discovering chaos-based communications by recurrence quantification and quantified return map analyses

V Rybin, D Butusov, E Rodionova… - … Journal of Bifurcation …, 2022 - World Scientific
Many studies show the possibility of transmitting messages in a protected and covert
manner using a noise-like chaotic waveform as a carrier. Among popular chaotic …

Fast synchronization of symmetric Hénon maps using adaptive symmetry control

AV Tutueva, L Moysis, VG Rybin, EE Kopets… - Chaos, Solitons & …, 2022 - Elsevier
The article discusses the possibility of synchronizing adaptive discrete chaotic maps through
the control of the symmetry coefficient. Since a change in the symmetry coefficient in …

Feed-forward artificial neural network provides data-driven inference of functional connectivity

N Frolov, V Maksimenko, A Lüttjohann… - … Journal of Nonlinear …, 2019 - pubs.aip.org
We propose a new model-free method based on the feed-forward artificial neuronal network
for detecting functional connectivity in coupled systems. The developed method which does …

Estimating Optimal Synchronization Parameters for Coherent Chaotic Communication Systems in Noisy Conditions

V Rybin, I Babkin, D Kvitko, T Karimov… - Chaos Theory and …, 2023 - dergipark.org.tr
It is known, that coherent chaotic communication systems are more vulnerable to noise in
the transmission channel than conventional communications. Among the methods of noise …