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Lag synchronization is a basic phenomenon in mismatched coupled systems, delay coupled systems and time-delayed systems. It is characterized by a lag configuration that establishes a unique time shift between all the state variables of the…

混沌动力学 · 物理学 2015-06-16 Sourav K. Bhowmick , Dibakar Ghosh , Prodyot K. Roy , Jürgen Kurths , Syamal K. Dana

We report a design of delay coupling for targeting desired synchronization in delay dynamical systems. We target synchronization, antisynchronization, lag-, antilag- synchronization, amplitude death (or oscillation death) and generalized…

混沌动力学 · 物理学 2012-07-04 Dibakar Ghosh , Ioan Grosu , Syamal Kumar Dana

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…

混沌动力学 · 物理学 2015-05-13 G. Ambika , R. E. Amritkar

We propose a simple and new unified method to achieve lag, complete and anticipatory synchronizations in coupled nonlinear systems. It can be considered as an alternative to the subsystem and intentional parameter mismatch methods. This…

混沌动力学 · 物理学 2016-04-20 K. Srinivasan , V. K Chandrasekar , R. Gladwin Pradeep , K. Murali , M. Lakshmanan

Anticipated synchronisation occurs when a driven dynamical system synchronises with the future state of the driver system to which it is unidirectionally coupled. Previous theoretical and experimental studies have focused on setups with a…

混沌动力学 · 物理学 2026-03-04 David Ortiz del Campo , Tobias Galla , Raúl Toral

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…

Chaotic systems can be synchronized by linking them to a common signal, subject to certain conditions. However, the presence of multiple driving signals coming from different systems, give rise to novel behavior. The particular case of…

chao-dyn · 物理学 2007-05-23 Sitabhra Sinha

Zero-lag synchronization (ZLS) is achieved in a very restricted mutually coupled chaotic systems, where the delays of the self-coupling and the mutual coupling are identical or fulfil some restricted ratios. Using a set of multiple…

混沌动力学 · 物理学 2008-11-26 Meital Zigzag , Maria Butkovski , Anja Englert , Wolfgang Kinzel , Ido Kanter

Existence of different kinds of synchronizations, namely anticipatory, complete and lag type synchronizations (both exact and approximate), are shown to be possible in time-delay coupled piecewise linear systems. We deduce stability…

混沌动力学 · 物理学 2009-11-11 D. V. Senthilkumar , M. Lakshmanan

This paper deals with the chaotic oscillator synchronization. A new approach to the synchronization of chaotic oscillators has been proposed. This approach is based on the analysis of different time scales in the time series generated by…

混沌动力学 · 物理学 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii

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…

混沌动力学 · 物理学 2013-10-08 Sourav K. Bhowmick , Dibakar Ghosh , Syamal K. Dana

There are three key factors of a system of coupled oscillators that characterize the interaction among them: coupling (how to affect), delay (when to affect) and topology (whom to affect). For each of them, the existing work has mainly…

最优化与控制 · 数学 2015-06-15 Enrique Mallada , Ao Tang

In this paper, we investigate synchronization of coupled second-order linear harmonic oscillators with random noises and time delays. The interaction topology is modeled by a weighted directed graph and the weights are perturbed by white…

数据分析、统计与概率 · 物理学 2009-09-29 Yilun Shang

We study the synchronization phenomena in a system of globally coupled oscillators with time delay in the coupling. The self-consistency equations for the order parameter are derived, which depend explicitly on the amount of delay. Analysis…

统计力学 · 物理学 2009-10-31 M. Y. Choi , H. J. Kim , D. Kim , H. Hong

We study the implementation of a weak multiple delayed feedback for controlling coherence of chaotic oscillations. The specific system we treat is the Lorenz system with classical set of parameters. There are two reasons behind the interest…

统计力学 · 物理学 2009-12-03 Denis S. Goldobin , Elizaveta V. Shklyaeva

Though the notion of phase synchronization has been well studied in chaotic dynamical systems without delay, it has not been realized yet in chaotic time-delay systems exhibiting non-phase coherent hyperchaotic attractors. In this article…

混沌动力学 · 物理学 2009-11-11 D. V. Senthilkumar , M. Lakshmanan , J. Kurths

We study the synchronization of a linear array of globally coupled identical logistic maps. We consider a time-delayed coupling that takes into account the finite velocity of propagation of the interactions. We find globally synchronized…

混沌动力学 · 物理学 2016-08-16 A. C. Martí , C. Masoller

Coupled oscillators with time-delayed network interactions are critical to understand synchronization phenomena in many physical systems. Phase reductions to finite-dimensional phase oscillator networks allow for their explicit analysis.…

动力系统 · 数学 2024-04-18 Christian Bick , Bob Rink , Babette A. J. de Wolff

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.…

适应与自组织系统 · 物理学 2016-08-10 Judith Lehnert , Philipp Hövel , Anton Selivanov , Alexander Fradkov , Eckehard Schöll

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…

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