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We experimentally demonstrate the occurrence of various synchronized states in coupled piece-wise linear time-delayed electronic circuits using dynamic environment coupling where the environment has its own intrinsic dynamics via feedback…

Chaotic Dynamics · Physics 2015-06-15 R. Suresh , K. Srinivasan , D. V. Senthilkumar , K. Murali , M. Lakshmanan , J. Kurths

We suggest an adaptive control scheme for the control of zero-lag and cluster synchronization in delay-coupled networks. Based on the speed-gradient method, our scheme adapts the topology of a network such that the target state is realized.…

Adaptation and Self-Organizing Systems · Physics 2016-08-10 Judith Lehnert , Philipp Hövel , Anton Selivanov , Alexander Fradkov , Eckehard Schöll

In this paper we briefly report some recent developments on generalized synchronization. We discuss different methods of detecting generalized synchronization. We first consider two unidirectionally coupled systems and then two mutually…

Chaotic Dynamics · Physics 2014-04-01 Suman Acharyya , R. E. Amritkar

Due to time delays in signal transmission and processing, phase lags are inevitable in realistic complex oscillator networks. Conventional wisdom is that phase lags are detrimental to network synchronization. Here we show that judiciously…

Chaotic Dynamics · Physics 2018-08-15 Huawei Fan , Ying-Cheng Lai , Shi-Xian Qu , Xingang Wang

We present the first report on inverse chaos synchronization where a driven modulated multiple time-delay chaotic system synchronizes to the inverse state of the driver system. Numerical simulations fully support the analytical approach.

Chaotic Dynamics · Physics 2010-07-06 E. M. Shahverdiev

We study the synchronization of a coupled map lattice consisting of a one-dimensional chain of logistic maps. We consider global coupling with a time-delay that takes into account the finite velocity of propagation of interactions. We…

Chaotic Dynamics · Physics 2009-11-10 Arturo C. Marti , C. Masoller

We present in this paper, the synchronization dynamics observed in a network of mutually coupled simple chaotic systems. The network consisting of chaotic systems arranged in a square matrix network is studied for their different types of…

Chaotic Dynamics · Physics 2019-09-26 G. Sivaganesh , A. Arulgnanam , A. N. Seethalakshmi

This paper studies delayed synchronization of continuous-time multi-agent systems (MAS) in the presence of unknown nonuniform communication delays. A delay-free transformation is developed based on a communication network which is a…

Systems and Control · Computer Science 2020-01-07 Zhenwei Liu , Ali Saberi , Anton A. Stoorvogel , Rong Li

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

Two replicas of spatially extended chaotic systems synchronize to a common spatio-temporal chaotic state when coupled above a critical strength. As a prototype of each single spatio-temporal chaotic system a lattice of maps interacting via…

Chaotic Dynamics · Physics 2008-09-23 M. Cencini , C. J. Tessone , A. Torcini

Synchronization is one of the paradigmatic phenomena in the study of complex systems. It has been explored theoretically and experimentally mostly to understand natural phenomena, but also in view of technological applications. Although…

We study the dynamics of networks with coupling delay, from which the connectivity changes over time. The synchronization properties are shown to depend on the interplay of three time scales: the internal time scale of the dynamics, the…

Statistical Mechanics · Physics 2018-12-26 Otti D'Huys , Javier Rodríguez-Laguna , Manuel Jiménez , Elka Korutcheva , Wolfgang Kinzel

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

The chaotic synchronization of two electron-wave media with interacting backward waves and cubic phase nonlinearity is investigated in the paper. To detect the chaotic synchronization regime we use a new approach, the so-called time scale…

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

We study chaotic synchronization in networks with time-delayed coupling. We introduce the notion of strong and weak chaos, distinguished by the scaling properties of the maximum Lyapunov exponent within the synchronization manifold for…

Coupling of chaotic oscillators has evidenced conditions where synchronization is possible, therefore a nonlinear system can be driven to a particular state through input from a similar oscillator. Here we expand this concept of control of…

Adaptation and Self-Organizing Systems · Physics 2020-08-18 Robson Vieira , Weliton S. Martins , Sergio Barreiro , Rafael A. de Oliveira , Martine Chevrollier , Marcos Oriá

Spatially extended chaotic systems with power-law decaying interactions are considered. Two coupled replicas of such systems synchronize to a common spatio-temporal chaotic state above a certain coupling strength. The synchronization…

Chaotic Dynamics · Physics 2009-11-11 Claudio Juan Tessone , Massimo Cencini , Alessandro Torcini

The scaling of transient times to zero-lag synchronization in networks composed of excitable units is shown to be governed by three features of the graph representing the network: the longest path between pairs of neurons (diameter), the…

Neurons and Cognition · Quantitative Biology 2015-06-11 H. Brama , Y. Peleg , W. Kinzel , I. Kanter

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…

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