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In this paper, we propose a dynamic delayed feedback control approach for desynchronization of chaotic-bursting synchronous activities in an ensemble of globally coupled neuronal oscillators. We demonstrate that the difference signal…

Chaotic Dynamics · Physics 2015-06-19 Yanqiu Che , Tingting Yang , Ruixue Li , Huiyan Li , Chunxiao Han , Jiang Wang , Xile Wei

We present the first report of the synchronization regimes in both unidirectionally and bidirectionally-coupled multiple time delay chaotic laser diodes subject to incoherent optical feedbacks and incoherent optical injection. We derive the…

Chaotic Dynamics · Physics 2009-04-29 E. M. Shahverdiev , K. A. Shore

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…

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

Until now, most memristor-based chaotic circuits proposed in the literature are based on mathematical models which assume ideal characteristics such as piece-wise linear or cubic non-linearities. The idea, illustrated here and originating…

Chaotic Dynamics · Physics 2015-09-02 L. V. Gambuzza , L. Fortuna , M. Frasca , E. Gale

Ensembles of phase-oscillators are known to exhibit a variety of collective regimes. Here, we show that a simple mean-field model involving two heterogenous populations of pulse-coupled oscillators, exhibits, in the strong-coupling limit, a…

Disordered Systems and Neural Networks · Physics 2024-07-12 German Mato , Antonio Politi , Alessandro Torcini

The linear response of synchronized chaotic units with delayed couplings and feedback to small external perturbations is investigated in the context of communication with chaos synchronization. For iterated chaotic maps, the distribution of…

Chaotic Dynamics · Physics 2013-02-05 Wolfgang Kinzel , Johannes Kestler , Ido Kanter

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

We study the manner in which the effect of an external drive is transmitted through mutually coupled response systems by examining the phase synchrony between the drive and the response. Two different coupling schemes are used. Homogeneous…

Chaotic Dynamics · Physics 2015-05-30 Manish Agrawal , Awadhesh Prasad , Ram Ramaswamy

We study the onset of synchronous states in realistic chaotic neurons coupled by mutually inhibitory chemical synapses. For the realistic parameters, namely the synaptic strength and the intrinsic current, this synapse introduces…

Statistical Mechanics · Physics 2015-05-13 T. Pereira , M. S. Baptista , J. Kurths , M. B. Reyes

We present the first report on chaos synchronization between two unidirectionally linearly and nonlinearly coupled systems with multiple time-delays and using the Razumikhin-Lyapunov approach find the existence and stability conditions for…

Chaotic Dynamics · Physics 2009-11-10 E. M. Shahverdiev

We consider the evolution of the unstable periodic orbit structure of coupled chaotic systems. This involves the creation of a complicated set outside of the synchronization manifold (the emergent set). We quantitatively identify a critical…

chao-dyn · Physics 2009-10-31 E. Barreto , P. So , B. J. Gluckman , S. J. Schiff

In system analysis, conformance indicates that two systems simultaneously satisfy the same set of specifications of interest; thus, the results from analyzing one system automatically transfer to the other, or one system can safely replace…

Systems and Control · Electrical Eng. & Systems 2021-03-03 Yu Wang , Mojtaba Zarei , Borzoo Bonakdarpoor , Miroslav Pajic

Pulses of synchronization in chaotic coupled map lattices are discussed in the context of transmission of information. Synchronization and desynchronization propagate along the chain with different velocities which are calculated…

Disordered Systems and Neural Networks · Physics 2015-03-13 Bernhard Schmitzer , Wolfgang Kinzel , Ido Kanter

Networks of chaotic units with static couplings can synchronize to a common chaotic trajectory. The effect of dynamic adaptive couplings on the cooperative behavior of chaotic networks is investigated. The couplings adjust to the activities…

Chaotic Dynamics · Physics 2013-04-12 Marco Winkler , Sebastian Butsch , Wolfgang Kinzel

We make a short review about the synchronization in coupled phase oscillator models. Next, we study the common-noise-induced synchronization among active rotators. At an intermediate noise strength, the noise-induced synchronization takes…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Hidetsugu Sakaguchi

Synchronization of chaotic units coupled by their time delayed variables are investigated analytically. A new type of cooperative behavior is found: sublattice synchronization. Although the units of one sublattice are not directly coupled…

Chaotic Dynamics · Physics 2009-11-13 Johannes Kestler , Wolfgang Kinzel , Ido Kanter

Synchronization of spatiotemporally chaotic extended systems is considered in the context of coupled one-dimensional Complex Ginzburg-Landau equations (CGLE). A regime of coupled spatiotemporal intermittency (STI) is identified and…

chao-dyn · Physics 2009-10-28 A. Amengual , E. Hernandez-Garcia , R. Montagne , M. San Miguel

Stochastic and coherence resonances appear in nonlinear systems subjected to an external source of noise and are characterized by a maximum response at the optimal value of the noise intensity. This paper shows experimentally that it is…

Condensed Matter · Physics 2016-08-31 O. Calvo , I. Gomes , C. R. Mirasso , R. Toral

Phase synchronization is shown to occur between opposite cells of a ring consisting of chaotic Lorenz oscillators coupled unidirectionally through driving. As the coupling strength is diminished, full phase synchronization cannot be…

chao-dyn · Physics 2015-06-24 D. Pazo , I. P. Marino , V. Perez-Munuzuri , V. Perez-Villar