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A chaos-based communication scheme allowing simultaneous bidirectional message transmission (Opt. Lett. 32, 403, 2007) is investigated numerically. Incoherent feedback and coupling case is analyzed, which is expected in real long-distance…

Optics · Physics 2008-06-23 I. V. Koryukin

We propose a simple and new unified method to achieve lag, complete and anticipatory synchronizations in coupled nonlinear systems. It can be considered as an alternative to the subsystem and intentional parameter mismatch methods. This…

Chaotic Dynamics · Physics 2016-04-20 K. Srinivasan , V. K Chandrasekar , R. Gladwin Pradeep , K. Murali , M. Lakshmanan

Chimera-like states are manifested through the coexistence of synchronous and asynchronous dynamics and have been observed in various systems. To analyze the role of network topology in giving rise to chimera-like states we study a…

Pattern Formation and Solitons · Physics 2017-04-20 Bo Li , David Saad

A new approach is proposed to the integrated analysis of the time structure of synchronization of multidimensional chaotic systems. The method allows one to diagnose and quantitatively evaluate the intermittency characteristics during…

Chaotic Dynamics · Physics 2015-07-02 A. V. Makarenko

Optomechanical cavities, with nonlinear photon-phonon interactions, offer a more compact approach to chaos generation than conventional feedback-based optical systems. However, proper study on chaos synchronization of two optomechanical…

Optics · Physics 2025-11-19 Souvik Mondal , Murilo S. Baptista , Kapil Debnath

A non-autonomous dynamical system is proposed to study the synchronization in networks of mutually coupled optically modulated hyperchaotic CO$_2$ lasers. By the method of master stability function (MSF) it is shown that the stable…

Adaptation and Self-Organizing Systems · Physics 2020-01-27 A. Roy , A. P. Misra , S. Banerjee

Topologies of two, three and four time-delay-coupled chaotic semiconductor lasers are experimentally and theoretically found to show new types of synchronization. Shifted zero-lag synchronization is observed for two lasers separated by long…

Chaotic Dynamics · Physics 2011-11-29 Y. Aviad , I. Reidler , M. Zigzag , M. Rosenbluh , I. Kanter

The chaotic synchronization between two bi-directionally coupled external cavity single-mode semiconductor lasers is investigated. Numerical simulation shows that anticipating synchronization and lag synchronization coexist in certain…

Chaotic Dynamics · Physics 2009-11-07 Liang Wu , Shiqun Zhu

Inter-layer synchronization is a distinctive process of multiplex networks whereby each node in a given layer undergoes a synchronous evolution with all its replicas in other layers, irrespective of whether or not it is synchronized with…

Adaptation and Self-Organizing Systems · Physics 2021-05-31 R. Sevilla-Escoboza , I. Sendiña-Nadal , I. Leyva , R. Gutiérrez , J. M. Buldú , S. Boccaletti

Complexity of dynamical networks can arise not only from the complexity of the topological structure but also from the time evolution of the topology. In this paper, we study the synchronous motion of coupled maps in time-varying complex…

Chaotic Dynamics · Physics 2008-12-16 Wenlian Lu , Fatihcan M. Atay , Jürgen Jost

Inter-layer synchronization is a dynamical state occurring in multi-layer networks composed of identical nodes. The state corresponds to have all layers synchronized, with nodes in each layer which do not necessarily evolve in unison. So…

Adaptation and Self-Organizing Systems · Physics 2016-10-06 I. Leyva , R. Sevilla-Escoboza , I. Sendiña-Nadal , R. Gutiérrez , J. M. Buldú , S. Boccaletti

We consider complete synchronization of identical maps coupled through a general interaction function and in a general network topology where the edges may be directed and may carry both positive and negative weights. We define mixed…

Chaotic Dynamics · Physics 2009-09-15 Frank Bauer , Fatihcan M. Atay , Juergen Jost

Experimental studies of synchronization properties on networks with controlled connection topology can provide powerful insights into the physics of complex networks. Here, we report experimental results on the influence of connection…

Chaotic Dynamics · Physics 2011-07-28 Bhargava Ravoori , Adam B. Cohen , Jie Sun , Adilson E. Motter , Thomas E. Murphy , Rajarshi Roy

By studying laser systems with multiple time delays, we demonstrate that the signatures of time delays in the autocorrelation coefficient and the mutual information of the laser output can be erased for systems with variable time delays.…

Chaotic Dynamics · Physics 2010-03-04 E. M. Shahverdiev , K. A. Shore

We investigate the phenomenon of chaos synchronization in systems subject to coexisting autonomous and external global fields by employing a simple model of coupled maps. Two states of chaos synchronization are found: (i) complete…

Chaotic Dynamics · Physics 2022-01-19 O. Alvarez-Llamoza , M. G. Cosenza

We consider the stability of synchronized chaos in coupled map lattices and in coupled ordinary differential equations. Applying the theory of Hermitian and positive semidefinite matrices we prove two results that give simple bounds on…

Chaotic Dynamics · Physics 2009-11-07 Govindan Rangarajan , Mingzhou Ding

In this work we consider two models of two dimensional discrete systems subjected to three different types of coupling and analyse systematically the performance of each in realising synchronised states.We find that linear coupling…

Chaotic Dynamics · Physics 2009-11-11 G Ambika , K Ambika

Previous research on nonlinear oscillator networks has shown that chaos synchronization is attainable for identical oscillators but deteriorates in the presence of parameter mismatches. Here, we identify regimes for which the opposite…

Adaptation and Self-Organizing Systems · Physics 2021-04-29 Yoshiki Sugitani , Yuanzhao Zhang , Adilson E. Motter

In this paper, we introduce a hybrid chaos map for image encryption method with high sensitivity. This new map is sensitive to small changes in the starting point and also in control parameters which result in having more computational…

Cryptography and Security · Computer Science 2021-11-01 Roghayeh Hosseinzadeh , Yavar Khedmati , Reza Parvaz

For the first time, using a modified Ikeda model it is demonstrated analytically that anticipating synchronization can be obtained in chaotic time-delay systems governed by two characteristic delay times. We derive existence and stability…

Chaotic Dynamics · Physics 2007-05-23 E. M. Shahverdiev , S. Sivaprakasam , K. A. Shore