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This paper is concerned with synchronization of complex stochastic dynamical networks in the presence of noise and functional uncertainty. A probabilistic control method for adaptive synchronization is presented. All required probabilistic…

最优化与控制 · 数学 2016-12-20 Randa Herzallah

The stability analysis of synchronization in time-varying higher-order networked structures (simplicial complexes) is one of the challenging problem due to the presence of time-varying group interactions. In this context, most of the…

适应与自组织系统 · 物理学 2023-08-11 Md Sayeed Anwar , Dibakar Ghosh

The stability analysis of synchronization patterns on generalized network structures is of immense importance nowadays. In this article, we scrutinize the stability of intralayer synchronous state in temporal multilayer hypernetworks, where…

混沌动力学 · 物理学 2022-03-16 Md Sayeed Anwar , Sarbendu Rakshit , Dibakar Ghosh , Erik M. Bollt

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 show that the synchronized states of two systems of identical chaotic maps subject to either, a common drive that acts with a probability p in time or to the same drive acting on a fraction p of the maps, are similar. The synchronization…

混沌动力学 · 物理学 2015-05-13 O. Alvarez-Llamoza , M. G. Cosenza

Stability of synchronization in unidirectionally coupled time-delay systems is studied using the Krasovskii-Lyapunov theory. We have shown that the same general stability condition is valid for different cases, even for the general…

混沌动力学 · 物理学 2015-05-13 D. V. Senthilkumar , J. Kurths , M. Lakshmanan

We study chaotic systems with multiple time delays that range over several orders of magnitude. We show that the spectrum of Lyapunov exponents (LE) in such systems possesses a hierarchical structure, with different parts scaling with the…

混沌动力学 · 物理学 2013-03-01 Otti D'Huys , Steffen Zeeb , Thomas Jüngling , Serhiy Yanchuk , Wolfgang Kinzel

We investigate temporal coherence and spatial synchronization on small-world networks consisting of noisy Terman-Wang (TW) excitable neurons in dependence on two types of time-delayed coupling: $\{x_j(t-\tau)-x_i (t)\}$ and…

无序系统与神经网络 · 物理学 2011-09-01 Hao Wu , Huijun Jiang , Zhonghuai Hou

A coupled map lattice whose topology changes at each time step is studied. We show that the transversal dynamics of the synchronization manifold can be analyzed by the introduction of effective dynamical quantities. These quantities are…

混沌动力学 · 物理学 2010-12-02 Rodrigo Frehse Pereira , Romeu Miqueias Szmoski , Sandro Ely de Souza Pinto

Topologies of two, three and four time-delay-coupled chaotic semiconductor lasers are experimentally and theoretically found to show new types of synchronization. Shifted zero-lag synchronization is observed for two lasers separated by long…

混沌动力学 · 物理学 2011-11-29 Y. Aviad , I. Reidler , M. Zigzag , M. Rosenbluh , I. Kanter

It is shown that the synchronization behavior of a system of chaotic maps subject to either an external forcing or a coupling function of their internal variables can be inferred from the behavior of a single element in the system, which…

混沌动力学 · 物理学 2015-05-19 M. G. Cosenza , O. Alvarez-Llamoza , G. Paredes

We study fully synchronized states in scale-free networks of chaotic logistic maps as a function of both dynamical and topological parameters. Three different network topologies are considered: (i) random scale-free topology, (ii)…

无序系统与神经网络 · 物理学 2009-11-10 Pedro G. Lind , Jason A. C. Gallas , Hans J. Herrmann

We study how a coupled array of spiking chaotic systems synchronizes to an external driving in a short time. Synchronization means spike separation at adjacent sites much shorter than the average inter-spike interval; a local lack of…

混沌动力学 · 物理学 2007-09-10 M. Ciszak , A. Montina , F. T. Arecchi

The phase ordering dynamics of coupled chaotic maps on fractal networks are investigated. The statistical properties of the systems are characterized by means of the persistence probability of equivalent spin variables that define the…

混沌动力学 · 物理学 2007-05-23 K. Tucci , M. G. Cosenza , O. Alvarez-Llamoza

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…

We investigate chaos synchronization between Josephson junctions coupled uni-directionally with time-delay. We demonstrate the possibility of high quality synchronization with numerical simulations of such systems. The results are of…

混沌动力学 · 物理学 2015-06-09 E. M. Shahverdiev , L. H. Hashimova , P. A. Bayramov , R. A. Nuriev

We study delay-induced transitions in consensus dynamics on signed networks with a ring topology. The proposed model is formulated as a system of delay differential equations incorporating both cooperative and antagonistic interactions, as…

动力系统 · 数学 2026-04-20 Hui Wu

The synchronization stability of a complex network system of coupled phase oscillators is discussed. In case the network is affected by disturbances, a stochastic linearized system of the coupled phase oscillators may be used to determine…

适应与自组织系统 · 物理学 2023-03-31 Kaihua Xi , Zhen Wang , Aijie Cheng , Hai Xiang Lin , Jan H. van Schuppen , Chenghui Zhang

For the first time, using a modified Ikeda model it is demonstrated analytically that anticipating synchronization can be obtained in chaotic time-delay systems governed by two characteristic delay times. We derive existence and stability…

混沌动力学 · 物理学 2007-05-23 E. M. Shahverdiev , S. Sivaprakasam , K. A. Shore

Time lags occur in a vast range of real-world dynamical systems due to finite reaction times or propagation speeds. Here we derive an analytical approach to determine the asymptotic stability of synchronous states in networks of coupled…