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We analyze the collective behavior of a lattice model of pulse-coupled oscillators. By means of computer simulations we find the relation between the intrinsic dynamics of each member of the population and their mutual interaction that…

Condensed Matter · Physics 2009-10-28 Alvaro Corral , Conrad J. Perez , Albert Diaz-Guilera , Alex Arenas

We experimentally demonstrate and numerically simulate a new adaptive method to maintain synchronization between coupled nonlinear chaotic oscillators, when the coupling between the systems is unknown and time-varying (e.g., due to…

The chaotic spike train of a homoclinic dynamical system is self-synchronized by re-inserting a small fraction of the delayed output. Due to the sensitive nature of the homoclinic chaos to external perturbations, stabilization of very long…

Chaotic Dynamics · Physics 2009-11-07 F. T. Arecchi , R. Meucci , E. Allaria , A. Di Garbo , L. S. Tsimring

Generalized chaotic synchronization regime is observed in the unidirectionally coupled one-dimensional Ginzburg-Landau equations. The mechanism resulting in the generalized synchronization regime arising in the coupled spatially extended…

Chaotic Dynamics · Physics 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii , Pavel V. Popov

The problem of synchronization of coupled Hamiltonian systems exhibits interesting features due to the non-uniform or mixed nature (regular and chaotic) of the phase space. We study these features by investigating the synchronization of…

Chaotic Dynamics · Physics 2017-05-26 Swetamber Das , Sasibhusan Mahata , Neelima Gupte

In this paper, we report the enhanced stability of induced synchronization by transient uncoupling observed in certain unidirectionally coupled second-order chaotic systems. The stability of synchronization observed in the coupled systems…

Chaotic Dynamics · Physics 2019-02-25 G. Sivaganesh , A. Arulgnanam , A. N. Seethalakshmi

Generalized synchronization is analyzed in unidirectionally coupled oscillatory systems exhibiting spatiotemporal chaotic behavior described by Ginzburg-Landau equations. Several types of coupling betweenthe systems are analyzed. The…

Chaotic Dynamics · Physics 2007-05-23 A. A. Koronovskii , P. V. Popov , A. E. Hramov

The behaviors of coupled chaotic oscillators before complete synchronization were investigated. We report three phenomena: (1) The emergence of long-time residence of trajectories besides one of the saddle foci; (2) The tendency that orbits…

Chaotic Dynamics · Physics 2009-11-11 Bin Ao , Zhigang Zheng

We investigate the spatiotemporal dynamics of a lattice of coupled chaotic maps whose coupling connections are dynamically rewired to random sites with probability p, namely at any instance of time, with probability p a regular link is…

Chaotic Dynamics · Physics 2009-11-13 Swarup Poria , Manish Dev Shrimali , Sudeshna Sinha

In this paper, an electronic circuit implementation of a robustly chaotic two-dimensional map is presented. Two such electronic circuits are realized. One of the circuits is configured as the driver and the other circuit is configured as…

Chaotic Dynamics · Physics 2015-06-05 Ravi Ranjan , Shivshankar Mishra , Suneel Madhekar

In this paper, the transition of synchronizing path of delay-coupled chaotic oscillators in a scale-free network is highlighted. Mainly, through the critical transmission delay makes chaotic oscillators be coupled on the edge of stability,…

Physics and Society · Physics 2015-06-24 Zhao Zhuo , Shi-Min Cai , Zhong-Qian Fu

Systems of mobile physical entities exchanging information with their neighborhood can be found in many different situations. The understanding of their emergent cooperative behaviour has become an important issue across disciplines,…

Soft Condensed Matter · Physics 2017-03-15 Demian Levis , Ignacio Pagonabarraga , Albert Diaz-Guilera

Networks of nonlinear units with time-delayed couplings can synchronize to a common chaotic trajectory. Although the delay time may be very large, the units can synchronize completely without time shift. For networks of coupled Bernoulli…

Chaotic Dynamics · Physics 2015-03-17 A. Englert , S. Heiligenthal , W. Kinzel , I. Kanter

In the realm of spatiotemporal chaos, unstable periodic orbits play a major role in understanding the dynamics. Their stability changes and bifurcations in general are thus of central interest. Here, coupled map lattice discretizations of…

Chaotic Dynamics · Physics 2026-03-05 Domenico Lippolis

We introduce two coupled map lattice models with nonconservative interactions and a continuous nonlinear driving. Depending on both the degree of conservation and the convexity of the driving we find different behaviors, ranging from…

Condensed Matter · Physics 2009-10-22 A. Corral , C. J. Perez , A. Diaz-Guilera , A. Arenas

We investigate phase synchronization between two identical or detuned response oscillators coupled to a slightly different drive oscillator. Our result is that phase synchronization can occur between response oscillators when they are…

Chaotic Dynamics · Physics 2009-11-10 Dae-Sic Lee , Won-Ho Kye , Sunghwan Rim , Tae-Yoon Kwon , Chil-Min Kim

The synchronization of loosely coupled chaotic oscillators, a phenomenon investigated intensively for the last two decades, may realize the philosophical notion of synchronicity. Effectively unpredictable chaotic systems, coupled through…

Chaotic Dynamics · Physics 2015-03-17 Gregory S. Duane

We study self-organized (s-) and driven (d-) synchronization in coupled map networks for some simple networks, namely two and three node networks and their natural generalization to globally coupled and complete bipartite networks. We use…

Chaotic Dynamics · Physics 2007-05-23 Sarika Jalan , R. E. Amritkar , Chin-Kun Hu

A method to synchronize two chaotic systems with anticipation or lag, coupled in the drive response mode, is proposed. The coupling involves variable delay with three time scales. The method has the advantage that synchronization is…

Chaotic Dynamics · Physics 2015-05-13 G. Ambika , R. E. Amritkar

We analyze a system of globally coupled logistic maps with asynchronous updating. We show that its dynamics differs considerably from that of the synchronous case. For growing values of the coupling intensity, an inverse bifurcation cascade…

chao-dyn · Physics 2009-10-31 Guillermo Abramson , Damian H. Zanette