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In this paper we report for the first time on the necessity of the refinement of the concept of generalized chaotic synchronization. We show that the state vectors of the interacting chaotic systems being in the generalized synchronization…

Chaotic Dynamics · Physics 2013-02-19 Alexey A. Koronovskii , Olga I. Moskalenko , Alexander E. Hramov

We make first report on inverse chaos synchronization between bi-directionally non-linearly and linearly coupled variable multiple time delay Ikeda systems.The results are of certain importance in secure chaos-based communication systems.

Chaotic Dynamics · Physics 2009-11-23 E. M. Shahverdiev

In this work, the synchronization problem of a master-slave system of autonomous ordinary differential equations (ODEs) is considered. Here, the systems are, chaotic with a nonlinearity represented by a piecewise linear function,…

Chaotic Dynamics · Physics 2021-12-16 J. Telenchana , A. Acosta , P. Garcia

We study the effects of nonzero time delays in stochastic synchronization problems with linear couplings in complex networks. We consider two types of time delays: transmission delays between interacting nodes and local delays at each node…

Statistical Mechanics · Physics 2012-12-03 D. Hunt , B. K. Szymanski , G. Korniss

Self-organized synchronization is a ubiquitous collective phenomenon, in which each unit adjusts their rhythms to achieve synchrony through mutual interactions. The optomechanical systems, due to their inherently engineerable…

Optics · Physics 2020-04-29 Jiteng Sheng , Xinrui Wei , Cheng Yang , Haibin Wu

Lag synchronization is a basic phenomenon in mismatched coupled systems, delay coupled systems and time-delayed systems. It is characterized by a lag configuration that establishes a unique time shift between all the state variables of the…

Chaotic Dynamics · Physics 2015-06-16 Sourav K. Bhowmick , Dibakar Ghosh , Prodyot K. Roy , Jürgen Kurths , Syamal K. Dana

We discuss the possibility of simultaneous and sequential synchronisation in vertical and horizontal arrays of unidirectionally coupled discrete systems. This is realized for the specific case of two dimensional Gumowski-Mira maps. The…

Chaotic Dynamics · Physics 2007-07-24 G Ambika , K Ambika

We argue that the synchronization transition of stochastically coupled cellular automata, discovered recently by L.G. Morelli {\it et al.} (Phys. Rev. {\bf 58 E}, R8 (1998)), is generically in the directed percolation universality class. In…

Statistical Mechanics · Physics 2009-10-31 P. Grassberger

We show that the threshold of complete synchronization in a lattice of coupled non-smooth chaotic maps is determined by linear stability along the directions transversal to the synchronization subspace. We examine carefully the…

Chaotic Dynamics · Physics 2010-11-25 Rodrigo Frehse Pereira , Sandro Ely de Souza Pinto , Sergio Roberto Lopes

We report the first experimental demonstration of chaotic phase synchronization (CPS) in unidirectionally coupled time-delay systems using electronic circuits. We have also implemented experimentally an efficient methodology for…

Chaotic Dynamics · Physics 2015-05-20 D. V. Senthilkumar , K. Srinivasan , K. Murali , M. Lakshmanan , J. Kurths

This paper presents an application of partial contraction analysis to the study of global synchronization in discrete chaotic systems. Explicit sufficient conditions on the coupling strength of networks of discrete oscillators are derived.…

Chaotic Dynamics · Physics 2007-05-23 Juan C. Botero , Jean-Jacques E. Slotine

Arbitrary Detuning ASynchronous OPtical Sampling (ADA-SOPS) is an emerging technique for extending standard pump--probe experiments performed with two femtosecond lasers to multitimescale experiments, which are of great interest for the…

Optics · Physics 2026-04-17 Laura Antonucci , A. Bonvalet , X. Solinas , M. Joffre

An excitable semiconductor micropillar laser with delayed optical feedback is able to regenerate pulses by the excitable response of the laser. It has been shown that almost any pulse sequence can, in principle, be excited and regenerated…

This paper deals with two types of synchronous behavior of chaotic oscillators -- generalized synchronization and noise--induced synchronization. It has been shown that both these types of synchronization are caused by similar mechanisms…

Chaotic Dynamics · Physics 2007-05-23 A. E. Hramov , A. A. Koronovskii , O. I. Moskalenko

We numerically investigate the dynamics of a closed chain of unidirectionally coupled oscillators in a regime of homoclinic chaos. The emerging synchronization regimes show analogies with the experimental behavior of a single chaotic laser…

Pattern Formation and Solitons · Physics 2007-05-23 I. Leyva , E. Allaria , S. Boccaletti , F. T. Arecchi

Synchronization is of great scientific interest due to the abundant applications in a wide range of systems. We propose a scheme to achieve the controllable long-distance synchronization of two dissimilar optomechanical systems, which are…

Optics · Physics 2016-06-29 Tan Li , Tian-Yi Bao , Yan-Lei Zhang , Chang-Ling Zou , Xu-Bo Zou , Guang-Can Guo

Phase synchronization in unidirectionally coupled Ikeda time-delay systems exhibiting non-phase-coherent hyperchaotic attractors of complex topology with highly interwoven trajectories is studied. It is shown that in this set of coupled…

Chaotic Dynamics · Physics 2008-11-24 D. V. Senthilkumar , M. Lakshmanan , J. Kurths

We investigate synchronization and subsequently communication using chaotic rare-earth-doped fiber ring lasers, represented by a physically realistic model. The lasers are coupled by transmitting a fraction c of the circulating electric…

We investigate a control technique for spatially extended systems combining spatial filtering with a previously studied form of time-delay feedback. The scheme is naturally suited to real-time control of optical systems. We apply the…

We investigate chaos antisynchronization between two uni-directionally coupled multiple time delay power systems.The results are of certain importance to prevent power black-out in the entire power grid.

Chaotic Dynamics · Physics 2010-08-24 E. M. Shahverdiev