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Small networks of chaotic units which are coupled by their time-delayed variables, are investigated. In spite of the time delay, the units can synchronize isochronally, i.e. without time shift. Moreover, networks can not only synchronize…

混沌动力学 · 物理学 2009-11-13 Johannes Kestler , Evi Kopelowitz , Ido Kanter , Wolfgang Kinzel

This paper describes the security weakness of a recently proposed secure communication method based on discrete-time chaos synchronization. We show that the security is compromised even without precise knowledge of the chaotic system used.…

混沌动力学 · 物理学 2007-05-23 Gonzalo Alvarez , Fausto Montoya , Miguel Romera , Gerardo Pastor

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…

This paper studies the security of a secure communication scheme based on two discrete-time intermittently-chaotic systems synchronized via a common random driving signal. Some security defects of the scheme are revealed: 1) the key space…

混沌动力学 · 物理学 2016-08-16 Shujun Li , Gonzalo Álvarez , Guanrong Chen , Xuanqin Mou

We show that it is possible for chaotic systems to display the main features of coherence resonance. In particular, we show that a Chua model, operating in a chaotic regime and in the presence of noise, can exhibit oscillations whose…

凝聚态物理 · 物理学 2009-10-31 C. Palenzuela , R. Toral , C. R. Mirasso , O. Calvo , J. D. Gunton

This paper deals with adaptive synchronization of chaos in the presence of time-varying communication-delays. We consider two bidirectionally coupled systems that seek to synchronize through a signal that each system sends to the other one…

混沌动力学 · 物理学 2015-05-30 Francesco Sorrentino , Pietro De Lellis

Chaos control techniques have been applied to a wide variety of experimental systems, including magneto-elastic ribbons, lasers, chemical reactions, arrhythmic cardiac tissue, and spontaneously bursting neuronal networks. An underlying…

chao-dyn · 物理学 2008-02-03 David J. Christini , James J. Collins

The problem of projective synchronization(ps) and control are studied in modified unified chaotic system which possess partially linearity property. The desired ratio factor of corresponding subsystem variable could be obtained by state…

混沌动力学 · 物理学 2007-05-23 Liang Feng , Xiang Jinglin , Chen Shaohua , Shi Jie

A unified framework for analyzing generalized synchronization in coupled chaotic systems from data is proposed. The key of the proposed approach is the use of the kernel methods recently developed in the field of machine learning. Several…

混沌动力学 · 物理学 2009-11-11 Hiromichi Suetani , Yukito Iba , Kazuyuki Aihara

The influence of noise on the generalized synchronization regime in the chaotic systems with dissipative coupling is considered. If attractors of the drive and response systems have an infinitely large basin of attraction, generalized…

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…

混沌动力学 · 物理学 2015-07-02 A. V. Makarenko

The phenomenon of Stochastic Resonance (SR) is reported in a completely noise-free situation, with the role of thermal noise being taken by low-dimensional chaos. A one-dimensional, piecewise linear map and a pair of coupled…

chao-dyn · 物理学 2009-10-31 Sitabhra Sinha

The stability (or instability) of synchronization is important in a number of real world systems, including the power grid, the human brain and biological cells. For identical synchronization, the synchronizability of a network, which can…

混沌动力学 · 物理学 2018-04-17 Jeremie Fish , Jie Sun

We examine synchronization between identical chaotic systems. A rigorous criteria is presented which, if satisfied, guarantees that the coupling produces linearly stable synchronous motion. The criteria can also be used to design couplings…

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

Spatially extended dynamical systems, namely coupled map lattices, driven by additive spatio-temporal noise are shown to exhibit stochastic synchronization. In analogy with low-dymensional systems, synchronization can be achieved only if…

混沌动力学 · 物理学 2009-10-31 Lucia Baroni , Roberto Livi , Alessandro Torcini

We study the synchronization of chaotic units connected through time-delayed fluctuating interactions. We focus on small-world networks of Bernoulli and Logistic units with a fixed chiral backbone. Comparing the synchronization properties…

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…

混沌动力学 · 物理学 2024-12-31 Rosario D. Laureano , Diana A. Mendes , Manuel Alberto M. Ferreira

Biological information processing is often carried out by complex networks of interconnected dynamical units. A basic question about such networks is that of reliability: if the same signal is presented many times with the network in…

混沌动力学 · 物理学 2015-06-11 Guillaume Lajoie , Kevin K. Lin , Eric Shea-Brown

We study synchronization processes in networks of slightly non identical chaotic systems, for which a complete invariant synchronization manifold does not rigorously exist. We show and quantify how a slightly dispersed distribution in…

We study how a coupled array of spiking chaotic systems synchronizes to an external driving in a short time. Synchronization means spike separation at adjacent sites much shorter than the average inter-spike interval; a local lack of…

混沌动力学 · 物理学 2007-09-10 M. Ciszak , A. Montina , F. T. Arecchi