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For the first time an example of marginal hyperchaos synchronization with a single driving variable within the replica approach is presented. It has been demonstrated that in some cases one can perform hyperchaos synchronization only using…

chao-dyn · Physics 2007-05-23 E. M. Shahverdiev

In this paper, we characterize the synchronization phenomenon of hyperchaotic scalar non-linear delay dynamics in a fully-developed chaos regime. Our results rely on the observation that, in that regime, the stationary statistical…

Chaotic Dynamics · Physics 2008-10-08 Adrian A. Budini

An analysis of transition from chaotic to nonchaotic behavior and synchronization in an ensemble of systems driven by identical random forces is presented. The synchronization phenomenon is investigated in the ensemble of particles moving…

chao-dyn · Physics 2015-06-24 B. Kaulakys , F. Ivanauskas , T. Meskauskas

The synchronization of dynamical systems is a method that allows two systems to have identical state trajectories, appart from an error converging to zero. This method consists in an appropriate unidirectional coupling from one system…

Systems and Control · Computer Science 2011-08-20 Bruno Nery , Rodrigo Ventura

We investigate a transition from chaotic to nonchaotic behavior and synchronization in an ensemble of systems driven by identical random forces. We analyze the synchronization phenomenon in the ensemble of particles moving with friction in…

chao-dyn · Physics 2008-02-03 B. Kaulakys , F. Ivanauskas , T. Meskauskas

This article provides a self-contained comprehensive review of the phenomenon of synchronization in dynamical systems, with a particular focus on chaotic systems in both continuous-time and discrete-time contexts. Synchronization, initially…

Chaotic Dynamics · Physics 2024-12-31 Rosario D. Laureano , Diana A. Mendes , Manuel Alberto M. Ferreira

The present paper explores the synchronization scenario of hyperchaotic time-delayed electronic oscillators coupled indirectly via a common environment. We show that depending upon the coupling parameters a hyperchaotic time-delayed system…

Chaotic Dynamics · Physics 2013-07-23 Tanmoy Banerjee , Debabrata Biswas

We examine synchronization of identical chaotic systems coupled in a drive/response manner. A rigorous criterion is presented which, if satisfied, guarantees that synchronization to the driving trajectory is linearly stable to…

chao-dyn · Physics 2009-10-30 Reggie Brown , Nikolai F. Rulkov

In a recent letter, Fisher et al. reported the phenomenon of zero-lag long range isochronous synchronization via dynamical relaying in systems with delay [Phys. Rev. Lett. bf 97, 123902 (2006)]. They reported that when one has two coupled…

Statistical Mechanics · Physics 2007-05-23 Maria de Sousa Vieira

Synchronization of chaos arises between coupled dynamical systems and is very well understood as a temporal phenomena which leads the coupled systems to converge or develop a dependence with time. In this work, we provide a complementary…

Dynamical Systems · Mathematics 2019-10-23 Aditi Kathpalia , Nithin Nagaraj

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

We extend the concept of generalized synchronization of chaos, a phenomenon that occurs in driven dynamical systems, to the context of autonomous spatiotemporal systems. It means a situation where the chaotic state variables in an…

Chaotic Dynamics · Physics 2009-11-13 O. Alvarez-Llamoza , M. G. Cosenza

Chaos synchronization in one of charge-carrier dynamical systems in photoconductors is studied within both the replica and nonreplica approaches.It has been shown that using the boundedness of the solutions of the dynamical systems,…

Condensed Matter · Physics 2007-05-23 Shahverdiev E. M

Zero-lag synchronization (ZLS) is achieved in a very restricted mutually coupled chaotic systems, where the delays of the self-coupling and the mutual coupling are identical or fulfil some restricted ratios. Using a set of multiple…

Chaotic Dynamics · Physics 2008-11-26 Meital Zigzag , Maria Butkovski , Anja Englert , Wolfgang Kinzel , Ido Kanter

Chaos control in some of the one- and two-dimensional traffic flow dynamical models in the mean field theory is studied.One dimensional model is investigated taking into account the effect of random delay. Two dimensional model takes into…

chao-dyn · Physics 2019-08-17 Elman Mohammed Shahverdiev , Shin-ichi Tadaki

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

To appear in Physical Review E. Contains some analysis of experimental (mechanical) string data.

chao-dyn · Physics 2008-02-03 Nicholas B. Tufillaro

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. As a result, the numerically…

Synchronization of identical chaotic systems subjected to common noise has been the subject of recent research. Studies on several chaotic systems have shown that, the synchronization is actually induced by the non-zero mean of the noise,…

Chaotic Dynamics · Physics 2009-10-31 C. -H. Lai , Changsong Zhou

Secure communication using hyperchaos has a better potential performance, but hyperchaotic impulse circuits synchronization is a challenging task. In this paper, an impulse control method is proposed for the synchronization of two…

Chaotic Dynamics · Physics 2021-03-10 Hai-Peng Ren , Kun Tian , Chao Bai
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