Fundamentals of synchronization in chaotic systems, concepts, and applications

LM Pecora, TL Carroll, GA Johnson, DJ Mar… - … Journal of Nonlinear …, 1997 - pubs.aip.org
The field of chaotic synchronization has grown considerably since its advent in 1990.
Several subdisciplines and “cottage industries” have emerged that have taken on bona fide …

[图书][B] Генерация хаоса

А Дмитриев, Е Ефремова, Н Максимов, А Панас - 2022 - books.google.com
Явление динамического хаоса, открытое в последней трети двадцатого века, широко
распространено в природе и искусственных системах. Его необычные свойства …

Bubbling transition

SC Venkataramani, BR Hunt, E Ott - Physical Review E, 1996 - APS
Recently, physically important examples of dynamical systems that have a chaotic attractor
embedded in an invariant submanifold have been pointed out, and the unusual dynamical …

Noise-induced synchronization of spin-torque oscillators

Y Imai, S Tsunegi, K Nakajima, T Taniguchi - Physical Review B, 2022 - APS
Noise-induced synchronization is a phenomenon where several oscillators with different
initial conditions show synchronized motion, even in the absence of a coupling between …

On-off intermittency in stochastically driven electrohydrodynamic convection in nematics

T John, R Stannarius, U Behn - Physical review letters, 1999 - APS
We report on-off intermittency in electroconvection of nematic liquid crystals driven by a
dichotomous stochastic electric voltage. With increasing voltage amplitude we observe …

Transverse instability for non-normal parameters

P Ashwin, E Covas, R Tavakol - Nonlinearity, 1999 - iopscience.iop.org
We consider the behaviour of attractors near invariant subspaces on varying a parameter
that changes the dynamics in the invariant subspace of a dynamical system. We refer to …

Blowout bifurcation in a system of coupled chaotic lasers

P Ashwin, JR Terry, KS Thornburg Jr, R Roy - Physical review E, 1998 - APS
We show that loss of synchronization of two identical coupled chaotic class B lasers can
occur via a blowout bifurcation. This occurs when a transverse Lyapunov exponent …

Generalizations of the concept of marginal synchronization of chaos

A Krawiecki, A Sukiennicki - Chaos, Solitons & Fractals, 2000 - Elsevier
Generalizations of the concept of marginal synchronization between chaotic systems, ie
synchronization with zero largest conditional Lyapunov exponent, are considered …

Chaotic synchronization in ensembles of coupled maps

AS Dmitriev, M Shirokov… - IEEE Transactions on …, 1997 - ieeexplore.ieee.org
Synchronization modes are investigated in ensembles of interacting maps with chaos. For
certain types of the map couplings, simple and rigorous conditions for chaotic …

Analysis of spurious synchronization with positive conditional Lyapunov exponents in computer simulations

C Zhou, CH Lai - Physica D: Nonlinear Phenomena, 2000 - Elsevier
Synchronization of chaotic systems has been a field of great interest and potential
applications. The necessary condition for synchronization is the negativity of the largest …