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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…

Chaotic Dynamics · Physics 2011-11-29 Y. Aviad , I. Reidler , M. Zigzag , M. Rosenbluh , I. Kanter

We study a model for two lasers that are mutually coupled opto-electronically by modulating the pump of one laser with the intensity deviations from the steady-state output of the other. Such a model is analogous to the equations describing…

Chaotic Dynamics · Physics 2024-10-30 E. M. Shahverdiev , P. A. Bayramov , K. A. Shore

A general explicit coupling for mutual synchronization of two arbitrary identical continuous systems is proposed. The synchronization is proved analytically. The coupling is given for all 19 systems from Sprott's collection. For one of the…

Chaotic Dynamics · Physics 2009-11-11 A. I. Lerescu , S. Oancea , I. Grosu

This work analyzes the security weakness of a recently proposed communication method based on chaotic modulation and masking using synchronization of two chaotic systems with different orders. It is shown that its application to secure…

Chaotic Dynamics · Physics 2007-10-23 G. Alvarez , L. Hernandez , J. Munoz , F. Montoya , Shujun Li

This paper investigates the autonomous synchronization problem for discrete-time heterogeneous multiagent systems. The synchronization problem is transformed into the asymptotic decoupling problem of stable modes in a class of discrete-time…

Multiagent Systems · Computer Science 2026-05-07 Wei Hu , Quanyi Liang

Small networks of chaotic units which are coupled by their time-delayed variables, are investigated. In spite of the time delay, the units can synchronize isochronally, i.e. without time shift. Moreover, networks can not only synchronize…

Chaotic Dynamics · Physics 2009-11-13 Johannes Kestler , Evi Kopelowitz , Ido Kanter , Wolfgang Kinzel

Delay-coordinate maps have been widely used recently to study nonlinear dynamical systems, where there is only access to the time series of one of their variables. Here, we show how the partial control method can be applied in this kind of…

Chaotic Dynamics · Physics 2017-06-16 Rubén Capeáns , Juan Sabuco , Miguel A. F. Sanjuán

We consider complete synchronization of identical maps coupled through a general interaction function and in a general network topology where the edges may be directed and may carry both positive and negative weights. We define mixed…

Chaotic Dynamics · Physics 2009-09-15 Frank Bauer , Fatihcan M. Atay , Juergen Jost

We study the impact of competing time delays in coupled stochastic synchronization and coordination problems. We consider two types of delays: transmission delays between interacting elements and processing, cognitive, or execution delays…

Statistical Mechanics · Physics 2011-01-12 D. Hunt , G. Korniss , B. K. Szymanski

Output feedback controlled synchronization problems for a class of nonlinear unstable systems under information constraints imposed by limited capacity of the communication channel are analyzed. A binary time-varying coder-decoder scheme is…

Optimization and Control · Mathematics 2009-11-13 Alexander L. Fradkov , Boris Andrievsky , Robin J. Evans

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…

Chaotic Dynamics · Physics 2009-11-11 D. V. Senthilkumar , M. Lakshmanan

Discrete fractional order chaotic systems extends the memory capability to capture the discrete nature of physical systems. In this research, the memristive discrete fractional order chaotic system is introduced. The dynamics of the system…

Chaotic Dynamics · Physics 2019-03-21 Samuel T. Ogunjo , Ibiyinka A. Fuwape

This paper studies delayed synchronization of continuous-time multi-agent systems (MAS) in the presence of unknown nonuniform communication delays. A delay-free transformation is developed based on a communication network which is a…

Systems and Control · Computer Science 2020-01-07 Zhenwei Liu , Ali Saberi , Anton A. Stoorvogel , Rong Li

In this paper we present an approach in which synchronization of chaos is used to address identification problems. In particular, we are able to identify: (i) the discontinuity points of systems described by piecewise dynamical equations…

Mathematical Physics · Physics 2015-05-14 Francesco Sorrentino

Multi-conflict traffic is ubiquitous. Connected Automated Vehicles (CAVs) offer unprecedented opportunities to enhance safety, reduce emissions, and increase throughput through precise coordination and automation. However, existing CAV…

Optimization and Control · Mathematics 2026-01-13 Fan Pu , Zihao Li , Sivakumar Rathinam , Minghui Zheng , Yang Zhou

The dynamics of unidirectionally coupled chaotic Lorenz systems is investigated. It is revealed that chaos is present in the response system regardless of generalized synchronization. The presence of sensitivity is theoretically proved, and…

Chaotic Dynamics · Physics 2016-10-10 Mehmet Onur Fen

Synchronization in a group of linear time-invariant systems is studied where the coupling between each pair of systems is characterized by a different output matrix. Simple methods are proposed to generate a (separate) linear coupling gain…

Dynamical Systems · Mathematics 2015-05-04 S. Emre Tuna

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.…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 Luis G. Moyano , Guillermo Abramson , Damian H. Zanette

We study the stability of unstable steady states in scalar retarded time-delayed systems subjected to a variable-delay feedback control. The important aspect of such a control problem is that time-delayed systems are already…

Chaotic Dynamics · Physics 2010-07-08 Aleksandar Gjurchinovski , Viktor Urumov

In this paper, synchronization of identical switched chaotic systems is explored based on Lyapunov theory of guaranteed stability. Concepts from robust control principles and switched linear systems are merged together to derive a…

Optimization and Control · Mathematics 2016-11-30 Indranil Pan , Saptarshi Das , Avijit Routh