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Two mutually coupled chaotic diode lasers with individual external feedback, are shown to establish chaos synchronization in the low-frequency fluctuations regime. A third laser with identical external feedback but coupled unidirectionally…

Disordered Systems and Neural Networks · Physics 2007-05-23 Noam Gross , Einat Klein , Michael Rosenbluh , Wolfgang Kinzel , Lev Khaykovich , Ido Kanter

A method to synchronize two chaotic systems with anticipation or lag, coupled in the drive response mode, is proposed. The coupling involves variable delay with three time scales. The method has the advantage that synchronization is…

Chaotic Dynamics · Physics 2015-05-13 G. Ambika , R. E. Amritkar

We consider a line of three mutually coupled lasers with time delays and study chaotic synchronization of the outer lasers. Two different systems are presented: optoelectronically coupled semiconductor lasers and optically coupled fiber…

Chaotic Dynamics · Physics 2007-11-07 Alexandra S. Landsman , Leah B. Shaw , Ira B. Schwartz

We show that two initially weakly coupled chaotic systems can achieve self-organized synchronization by adaptively reducing their speed and/or enhancing the coupling strength. Explicit adaptive algorithms for speed-reduction and…

Statistical Mechanics · Physics 2009-11-07 Xiao Fan Wang

Adaptive control technique is adopted to synchronize two identical non-autonomous systems with unknown parameters in finite time. A virtual unknown parameter is introduced in order to avoid the unknown parameters from appearing in the…

Chaotic Dynamics · Physics 2016-09-08 Jianping Cai , Meili Lin

Two types of synchronization, Achronal Synchronization and Isochronous synchronization are investigated numerically when unidirectionally coupled laser systems are considered both on fast and slow dynamics by studying the correlation…

Chaotic Dynamics · Physics 2009-11-11 Liang Wu , Shiqun Zhu , Juan Li

We investigate zero-lag synchronization (ZLS) between delay-coupled diode lasers system with mutual optical injection in a face-to-face configuration. We observed numerical evidence of such ZLS without using any relay element or mediating…

Optics · Physics 2013-08-13 Pramod Kumar

Based on the invariance principle of differential equations, a simple adaptive-feedback scheme is proposed to strictly synchronize almost all chaotic systems. Unlike the usual linear feedback, the variable feedback strength is automatically…

Chaotic Dynamics · Physics 2009-11-10 Debin Huang

Synchronization control in arrays of identical output-coupled continuous-time linear systems is studied. Sufficiency of new conditions for the existence of a synchronizing feedback law are analyzed. It is shown that for neutrally stable…

Dynamical Systems · Mathematics 2008-11-24 S. Emre Tuna

In this Letter, we derive a sufficient condition of synchronizing limit sets (attractors and repellers) by using the linear feedback control technique proposed here. There examples are included. The numerical simulations and computer…

Chaotic Dynamics · Physics 2007-05-23 Changpin Li , Weihua Deng

In-phase synchronization is a special case of synchronous behavior when coupled oscillators have the same phases for any time moments. Such behavior appears naturally for nearly identical coupled limit-cycle oscillators when the coupling…

Adaptation and Self-Organizing Systems · Physics 2019-09-24 Viktor Novičenko , Irmantas Ratas

We report an analysis of synchronization between two unidirectionally coupled chaotic external cavity master/slave semiconductor lasers with two characteristic delay times, where the delay time in the coupling is different from the delay…

Chaotic Dynamics · Physics 2009-11-07 E. M. Shahverdiev , S. Sivaprakasam , K. A. Shore

A basic result in synchronization of linear systems via output coupling is presented. For identical discrete-time linear systems that are detectable from their outputs and neutrally stable, it is shown that a linear output feedback law…

Dynamical Systems · Mathematics 2008-01-21 S. Emre Tuna

We study synchronization in delay-coupled neural networks of heterogeneous nodes. It is well known that heterogeneities in the nodes hinder synchronization when becoming too large. We show that an adaptive tuning of the overall coupling…

Adaptation and Self-Organizing Systems · Physics 2016-08-10 S. A. Plotnikov , J. Lehnert , A. L. Fradkov , E. Schöll

Synchronization is the spontaneous alignment of the dynamics of weakly-coupled oscillators. In addition to temporal dynamics like periodic and chaotic oscillations, also the spatio-temporal dynamics of spatially-extended systems like…

Optics · Physics 2026-03-11 Jules Mercadier , Stefan Bittner , Marc Sciamanna

In this paper we consider three different synchronization problems consisting in designing a nonlinear feedback unidirectional coupling term for two (possibly chaotic) dynamical systems in order to drive the trajectories of one of them, the…

Classical Analysis and ODEs · Mathematics 2007-10-02 O. Makarenkov , P. Nistri , D. Papini

We present a methodology for synchronization of chaotic oscillators with linear feedback control. The proposed method is based on analyzing the chaotic oscillator as a multi-mode linear system and deriving sufficient conditions for…

Chaotic Dynamics · Physics 2019-01-24 Keyur Mistry , Sudeshna Dash , Siddharth Tallur

We study the mutual coupling of chaotic lasers and observe both experimentally and in numeric simulations, that there exists a regime of parameters for which two mutually coupled chaotic lasers establish isochronal synchronization, while a…

Statistical Mechanics · Physics 2009-11-11 Einat Klein , Noam Gross , Evi Kopelowitz , Michael Rosenbluh , Lev Khaykovich , Wolfgang Kinzel , Ido Kanter

Stabilizing unstable periodic orbits in a chaotic invariant set not only reveals information about its structure but also leads to various interesting applications. For the successful application of a chaos control scheme, convergence speed…

Adaptation and Self-Organizing Systems · Physics 2016-10-10 Christian Bick , Marc Timme , Christoph Kolodziejski

We experimentally study the synchronization of chaos generated by semiconductor lasers in a cascade injection configuration, i.e., a tunable master laser is used to generate chaos by optical injection in a transmitter laser that injects…

Optics · Physics 2024-05-08 Jules Mercadier , Yaya Doumbia , Stefan Bittner , Marc Sciamanna