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Related papers: Exact Lag Synchronization in Time Delay Systems an…

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The synchronized excitable behavior of two coupled chaotic diode lasers with feedback was experimental and numerically studied. We determine the relation between the observed delay times in synchronized Low Frequency Fluctuation spikes and…

Optics · Physics 2015-05-13 Jhon F. Martinez Avila , J. R. Rios Leite

Separate constituents of extended systems measure proper-times on different world-lines. Relating and comparing proper-time measurements along any two such world-lines requires that common simultaneity be possible, which in turn implies…

Classical Physics · Physics 2019-07-16 Uri Ben-Ya'acov

We consider small network models for mutually delay-coupled systems which typically do not exhibit stable isochronally synchronized solutions. We show that for certain coupling architectures which involve delayed self feedback to the nodes,…

Chaotic Dynamics · Physics 2015-06-26 Ira B. Schwartz , Leah B. Shaw

The characteristics of a time-delayed system with time-dependent delay time is investigated. We demonstrate the nonlinearity characteristics of the time-delayed system are significantly changed depending on the properties of time-dependent…

Chaotic Dynamics · Physics 2009-11-10 Won-Ho Kye , Muhan Choi , Sunghwan Rim , M. S. Kurdoglyan , Chil-Min Kim , Young-Jai Park

By studying laser systems with multiple time delays, we demonstrate that the signatures of time delays in the autocorrelation coefficient and the mutual information of the laser output can be erased for systems with variable time delays.…

Chaotic Dynamics · Physics 2010-03-04 E. M. Shahverdiev , K. A. Shore

Effects of synchronization in a system of two coupled oscillators with time-delayed feedback are investigated. Phase space of a system with time delay is infinite-dimensional. Thus, the picture of synchronization in such systems acquires…

Chaotic Dynamics · Physics 2014-05-06 Yulia P. Emelianova , Valeriy V. Emelyanov , Nikita M. Ryskin

We consider networks of coupled maps where the connections between units involve time delays. We show that, similar to the undelayed case, the synchronization of the network depends on the connection topology, characterized by the spectrum…

Disordered Systems and Neural Networks · Physics 2007-05-23 Fatihcan M. Atay , Jürgen Jost , Andreas Wende

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

A pair of coupled erbium doped fiber ring lasers is used to explore the dynamics of coupled spatiotemporal systems. The lasers are mutually coupled with a coupling delay less than the cavity round-trip time. We study synchronization between…

Chaotic Dynamics · Physics 2009-11-11 L. B. Shaw , I. B. Schwartz , E. A. Rogers , R. Roy

We report mixed lag synchronization in coupled counter-rotating oscillators. The trajectories of counter-rotating oscillators has opposite directions of rotation in uncoupled state. Under diffusive coupling via a scalar variable, a mixed…

Chaotic Dynamics · Physics 2013-10-08 Sourav K. Bhowmick , Dibakar Ghosh , Syamal K. Dana

We consider the effect of asymmetric temporal delays in a system of two coupled Hopfield neurons. For couplings of opposite signs, a limit cycle emerges via a supercritical Hopf bifurcation when the sum of the delays reaches a critical…

Biological Physics · Physics 2011-11-10 Sebastian F. Brandt , Axel Pelster , Ralf Wessel

In this letter we consider a prototype model which is described as an autonomous continuous time delayed differential equation with just one variable. The chaos has been investigated with variable delay time and the synchronization…

Chaotic Dynamics · Physics 2008-02-07 Dibakar Ghosh , Santo Banerjee , A. Roy Chowdhury

We investigate and report an experimental confirmation of zero-lag synchronization (ZLS) in a system of three coupled time-delayed piecewise linear electronic circuits via dynamical relaying with different coupling configurations, namely…

Chaotic Dynamics · Physics 2015-06-12 R. Suresh , K. Srinivasan , D. V. Senthilkumar , I. Raja Mohamed , K. Murali , M. Lakshmanan , J. Kurths

We show that simultaneous synchronization between two delay-coupled oscillators can be achieved by relaying the dynamics via a third mediating element, which surprisingly lags behind the synchronized outer elements. The zero-lag…

We have found a synchronization behavior between two identical chaotic systems^M when their delay times are modulated by a common irregular signal. ^M This phenomenon is demonstrated both in two identical chaotic maps whose delay times are…

Chaotic Dynamics · Physics 2016-09-08 Won-Ho Kye , Muhan Choi , M. S. Kurdoglyan , Chil-Min Kim , Young-Jai Park

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 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

We study chaos synchronization between Josephson junctions governed by a central junction with a time delay and demonstrate with numerical simulations the possibility of high quality synchronization. The results are important for obtaining…

Chaotic Dynamics · Physics 2015-09-25 E. M. Shahverdiev , L. H. Hashimova , P. A. Bayramov , R. A. Nuriev

We investigate synchronization in the presence of delay time modulation for application to communication. We have observed that the robust synchronization is established by a common delay signal and its threshold is presented using Lyapunov…

Chaotic Dynamics · Physics 2009-11-10 Won-Ho Kye , Muhan Choi , Myung-Woon Kim , Soo-Young Lee , Sunghwan Rim , Chil-Min Kim , Young-Jai Park

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