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We present an analytical investigation of exact anticipating synchronization between two bi-idirectionally coupled time-delayed systems in the case when these systems are governed by two characteristic times: the delay time in the coupling…

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

Generalized synchronization is analyzed in unidirectionally coupled oscillatory systems exhibiting spatiotemporal chaotic behavior described by Ginzburg-Landau equations. Several types of coupling betweenthe systems are analyzed. The…

混沌动力学 · 物理学 2007-05-23 A. A. Koronovskii , P. V. Popov , A. E. Hramov

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…

This paper is concerned with the design of a distributed cooperative synchronization controller for a class of higher-order nonlinear multi-agent systems. The objective is to achieve synchronization and satisfy a predefined time-based…

最优化与控制 · 数学 2022-02-28 Hashim A. Hashim , Sami El-Ferik , Frank L. Lewis

We consider a line of three mutually coupled lasers with time delays and study chaotic synchronization of the outer lasers. Two different systems are presented: optoelectronically coupled semiconductor lasers and optically coupled fiber…

混沌动力学 · 物理学 2007-11-07 Alexandra S. Landsman , Leah B. Shaw , Ira B. Schwartz

In real-world networks the interactions between network elements are inherently time-delayed. These time-delays can not only slow the network but can have a destabilizing effect on the network's dynamics leading to poor performance. The…

最优化与控制 · 数学 2024-09-23 David Reber , Benjamin Webb

New methods are developed for the stabilization of a linear system with general time-varying distributed delays existing at the system's states, inputs and outputs. In contrast to most existing literature where the function of time-varying…

系统与控制 · 电气工程与系统科学 2024-12-20 Qian Feng , Sing Kiong Nguang , Wilfrid Perruquetti

We report the first experimental demonstration of chaotic phase synchronization (CPS) in unidirectionally coupled time-delay systems using electronic circuits. We have also implemented experimentally an efficient methodology for…

混沌动力学 · 物理学 2015-05-20 D. V. Senthilkumar , K. Srinivasan , K. Murali , M. Lakshmanan , J. Kurths

We consider synchronization of coupled dynamical systems when different types of interactions are simultaneously present. We assume that a set of dynamical systems are coupled through the connections of two or more distinct networks (each…

混沌动力学 · 物理学 2015-05-28 Francesco Sorrentino

We propose an adaptive control strategy for the simultaneous estimation of topology and synchronization in complex dynamical networks with unknown, time-varying topology. Our approach transforms the problem of time-varying topology…

多智能体系统 · 计算机科学 2024-09-16 Nana Wang , Esteban Restrepo , Dimos V. Dimarogonas

The paper investigates the synchronization of a network of identical linear state-space models under a possibly time-varying and directed interconnection structure. The main result is the construction of a dynamic output feedback coupling…

最优化与控制 · 数学 2008-05-23 Luca Scardovi , Rodolphe Sepulchre

By introducing extrinsic noise as well as intrinsic uncertainty into a network with stochastic events, this paper studies the dynamics of the resulting Markov random network and characterizes a novel phenomenon of intermittent…

动力系统 · 数学 2021-05-26 Arno Berger , Hong Qian , Shirou Wang , Yingfei Yi

Time-delay chaotic systems refer to the hyperchaotic systems with multiple positive Lyapunov exponents. It is characterized by more complex dynamics and a wider range of applications as compared to those non-time-delay chaotic systems. In a…

动力系统 · 数学 2021-03-29 Erxi Zhu , Min Xu , Dechang Pi

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…

We focus on chaotic dynamical systems and analyze their time series with the use of autoencoders, i.e., configurations of neural networks that map identical output to input. This analysis results in the determination of the latent space…

神经与进化计算 · 计算机科学 2024-06-19 N. Almazova , G. D. Barmparis , G. P. Tsironis

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

Distributed time-sensitive systems must balance timing requirements (availability) and consistency in the presence of communication delays and synchronization uncertainty. This paper presents maxwait, a simple coordination mechanism with…

分布式、并行与集群计算 · 计算机科学 2026-01-30 Francesco Paladino , Shulu Li , Edward A. Lee

In this letter we introduce a class of delayed kinetic systems derived from mass action type reaction network models. We define the time delayed positive stoichiometric compatibility classes and the notion of complex balanced time delayed…

动力系统 · 数学 2017-04-21 György Lipták , Katalin M. Hangos , Mihály Pituk , Gábor Szederkényi

Complexity of dynamical networks can arise not only from the complexity of the topological structure but also from the time evolution of the topology. In this paper, we study the synchronous motion of coupled maps in time-varying complex…

混沌动力学 · 物理学 2008-12-16 Wenlian Lu , Fatihcan M. Atay , Jürgen Jost

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…

混沌动力学 · 物理学 2008-02-07 Dibakar Ghosh , Santo Banerjee , A. Roy Chowdhury