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相关论文: Synchronization in a network of delay coupled maps…

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We study the regime of anticipated synchronization in unidirectionally coupled chaotic maps such that the slave map has its own output reinjected after a certain delay. For a class of simple maps, we give analytic conditions for the…

混沌动力学 · 物理学 2009-11-07 Emilio Hernandez-Garcia , Cristina Masoller , Claudio R. Mirasso

Synchronization of identical chaotic systems subjected to common noise has been the subject of recent research. Studies on several chaotic systems have shown that, the synchronization is actually induced by the non-zero mean of the noise,…

混沌动力学 · 物理学 2009-10-31 C. -H. Lai , Changsong Zhou

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…

混沌动力学 · 物理学 2015-07-02 A. V. Makarenko

We study a synchronization mechanism, based on one-way coupling of all-or-nothing type, applied to coupled map lattices with several different local rules. By analyzing the metric and the topological distance between the two systems, we…

统计力学 · 物理学 2007-05-23 Franco Bagnoli , Lucia Baroni , Paolo Palmerini

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…

混沌动力学 · 物理学 2008-09-23 M. Cencini , C. J. Tessone , A. Torcini

We study the dynamics of an ensemble of globally coupled chaotic logistic maps under the action of a learning algorithm aimed at driving the system from incoherent collective evolution to a state of spontaneous full synchronization.…

适应与自组织系统 · 物理学 2009-10-31 Luis G. Moyano , Guillermo Abramson , Damian H. Zanette

We investigate the impact of bistability in the emergence of synchronization in networks of chaotic maps with delayed coupling. The existence of a single finite attractor of the uncoupled map is found to be responsible for the emergence of…

无序系统与神经网络 · 物理学 2013-01-01 Pedro G. Lind , Ana Nunes , Jason A. C. Gallas

We study a family of diffusively coupled chaotic maps on periodic d-dimensional square lattices. Even and odd sub-lattices are updated alternately, introducing an effective delay. As the coupling strength is increased, the system undergoes…

统计力学 · 物理学 2010-09-16 P. K. Mohanty

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…

混沌动力学 · 物理学 2016-09-08 Won-Ho Kye , Muhan Choi , M. S. Kurdoglyan , Chil-Min Kim , Young-Jai Park

We show that two coupled map lattices that are mutually coupled to one another with a delay can display zero delay synchronization if they are driven by a third coupled map lattice. We analytically estimate the parametric regimes that lead…

混沌动力学 · 物理学 2007-08-07 M. S. Santhanam , Siddharth Arora

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 present the interplay between synchronization of unidirectional coupled chaotic nodes with heterogeneous delays and the greatest common divisor (GCD) of loops composing the oriented graph. In the weak chaos region and for GCD=1 the…

混沌动力学 · 物理学 2011-03-29 I. Kanter , M. Zigzag , A. Englert , F. Geissler , W. Kinzel

We study fully synchronized (coherent) states in complex networks of chaotic oscillators, reviewing the analytical approach of determining the stability conditions for synchronizability and comparing them with numerical criteria. As an…

无序系统与神经网络 · 物理学 2015-06-25 Pedro G. Lind , Jason A. C. Gallas , Hans J. Herrmann

This paper deals with adaptive synchronization of chaos in the presence of time-varying communication-delays. We consider two bidirectionally coupled systems that seek to synchronize through a signal that each system sends to the other one…

混沌动力学 · 物理学 2015-05-30 Francesco Sorrentino , Pietro De Lellis

We investigate the stability of synchronization in networks of delay-coupled excitable neural oscillators. On the basis of the master stability function formalism, we demonstrate that synchronization is always stable for excitatory coupling…

无序系统与神经网络 · 物理学 2016-08-10 Judith Lehnert , Thomas Dahms , Philipp Hövel , Eckehard Schöll

We study the effect of coupling delay in a regular network with a ring topology and in a more complex network with an all-to-all (global) topology in the presence of impurities (disorder). We find that the coupling delay is capable of…

混沌动力学 · 物理学 2011-12-26 D. V. Senthilkumar , R. Suresh , Jane H. Sheeba , M. Lakshmanan , J. Kurths

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

We investigate the stability of synchronization in networks of dynamical systems with strongly delayed connections. We obtain strict conditions for synchronization of periodic and equilibrium solutions. In particular, we show the existence…

动力系统 · 数学 2017-11-10 Daniel M. N. Maia , Elbert E. N. Macau , Tiago Pereira , Serhiy Yanchuk

The phenomenon of synchronization occurring in a locally coupled map lattice subject to an external drive is compared to the synchronization process in an autonomous coupled map system with similar local couplings plus a global interaction.…

混沌动力学 · 物理学 2009-11-11 M. Pineda , M. G. Cosenza

We study the spatio-temporal behavior of simple coupled map lattices with periodic boundary conditions. The local dynamics is governed by two maps, namely, the sine circle map and the logistic map respectively. It is found that even though…

凝聚态物理 · 物理学 2009-10-31 Bikash Chandra Gupta , P. A. Sreeram , S. B. Lee