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We show how two electrically coupled semiconductor lasers having optical feedback can present simultaneous anti-phase correlated fast power fluctuations, and strong in-phase synchronized spikes of chaotic power drops. This quite counter…

The paper develops new sufficient conditions for synchronization of a network of $N$ nonlinearly coupled Chua oscillators interconnected via the first state coordinate only. The nonlinear coupling strength is governed by a function residing…

系统与控制 · 计算机科学 2019-04-02 Petro Feketa , Alexander Schaum , Thomas Meurer , Denis Michaelis , Karl-Heinz Ochs

Two chaotic systems which interact by mutually exchanging a signal built from their delayed internal variables, can synchronize. A third unit may be able to record and to manipulate the exchanged signal. Can the third unit synchronize to…

混沌动力学 · 物理学 2009-11-13 Ido Kanter , Evi Kopelowitz , Johannes Kestler , Wolfgang Kinzel

We examine the use of synchronization as a mechanism for extracting parameter and state information from experimental systems. We focus on important aspects of this problem that have received little attention previously, and we explore them…

Chaotic synchronization is generally extremely sensitive to the presence of noise and other inference in the channel. Is this sensitivity a fundamental property of chaotic synchronization or is it related to the choice of synchronization…

混沌动力学 · 物理学 2007-05-23 A. S. Dmitriev , M. Hasler , G. Kassian , A. D. Khilinsky

In this paper we consider distributed adaptive stabilization for uncertain multivariable linear systems with a time-varying diagonal matrix gain. We show that uncertain multivariable linear systems are stabilizable by diagonal matrix high…

系统与控制 · 电气工程与系统科学 2021-05-31 Zhiyong Sun , Anders Rantzer , Zhongkui Li , Anders Robertsson

In this manuscript, we study the problem of robust synchronization in networks of diffusively time-delayed coupled nonlinear systems. In particular, we prove that, under some mild conditions on the input-output dynamics of the systems and…

系统与控制 · 计算机科学 2017-11-01 Carlos Murguia , Henk Nijmeijer , Justin Ruths

Co-evolutionary adaptive mechanisms are not only ubiquitous in nature, but also beneficial for the functioning of a variety of systems. We here consider an adaptive network of oscillators with a stochastic, fitness-based, rule of…

物理与社会 · 物理学 2016-06-08 Young-Ho Eom , Stefano Boccaletti , Guido Caldarelli

We show that the threshold of complete synchronization in a lattice of coupled non-smooth chaotic maps is determined by linear stability along the directions transversal to the synchronization subspace. As a result, the numerically…

A unified approach for analyzing synchronization in coupled systems of autonomous differential equations is presented in this work. Through a careful analysis of the variational equation of the coupled system we establish a sufficient…

适应与自组织系统 · 物理学 2015-05-19 Georgi S. Medvedev

We study synchronization in delay-coupled neural networks of heterogeneous nodes. It is well known that heterogeneities in the nodes hinder synchronization when becoming too large. We show that an adaptive tuning of the overall coupling…

适应与自组织系统 · 物理学 2016-08-10 S. A. Plotnikov , J. Lehnert , A. L. Fradkov , E. Schöll

In this paper, the complete synchronization problem of linearly coupled neural networks with reaction-diffusion terms and time-varying delays via aperiodically intermittent pinning control is investigated. The coupling matrix for the…

系统与控制 · 计算机科学 2016-04-13 Xiwei Liu , Zhang Chen , Lingjun Zhou

We consider networks of coupled stochastic oscillators. When coupled we find strong collective oscillations, while each unit remains stochastic. In the limit (N\to \infty) we derive a system of integro-delay equations and show analytically…

统计力学 · 物理学 2007-05-23 B. Naundorf , T. Prager , L. Schimansky-Geier

Dynamics of coupled chaotic oscillators on a network are studied using coupled maps. Within a broad range of parameter values representing the coupling strength or the degree of elements, the system repeats formation and split of coherent…

混沌动力学 · 物理学 2016-12-21 Kenji Shinoda , Kunihiko Kaneko

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 study convergence in networks of piecewise-smooth (PWS) systems that commonly arise in applications to model dynamical systems whose evolution is affected by macroscopic events such as switches and impacts. Existing approaches were…

系统与控制 · 电气工程与系统科学 2021-11-16 Marco Coraggio , Pietro DeLellis , S. John Hogan , Mario di Bernardo

In Part II [3] we carried out a detailed mean-square-error analysis of the performance of asynchronous adaptation and learning over networks under a fairly general model for asynchronous events including random topologies, random link…

系统与控制 · 计算机科学 2014-12-17 Xiaochuan Zhao , Ali H. Sayed

We experimentally observe the nonlinear dynamics of an optoelectronic time-delayed feedback loop designed for chaotic communication using commercial fiber optic links, and we simulate the system using delay differential equations. We show…

混沌动力学 · 物理学 2009-08-24 Adam B. Cohen , Bhargava Ravoori , Thomas E. Murphy , Rajarshi Roy

Chaotic functions are characterized by sensitivity to initial conditions, transitivity, and regularity. Providing new functions with such properties is a real challenge. This work shows that one can associate with any Boolean network a…

离散数学 · 计算机科学 2011-12-08 J. M. Bahi , J. -F. Couchot , C. Guyeux , A. Richard

The synchronization behavior of delay coupled chaotic smooth unimodal maps over a ring network with stochastic switching of links at every time step is reported in this paper. It is observed that spatiotemporal synchronization never appears…

混沌动力学 · 物理学 2016-05-25 Mayurakshi Nag , Swarup Poria
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