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In this paper, bilateral teleoperation of multiple slaves coupled to a single master under scheduling communication is investigated. The sampled-data transmission between the master and the multiple slaves is fulfilled over a delayed…

Systems and Control · Computer Science 2018-04-13 Yuling Li , Kun Liu , Wei He , Yixin Yin , Rolf Johansson , Kai Zhang

We demonstrate that a unidirectional coupling between a pattern forming system and its replica induces complete synchronization of the slave to the master system onto a spatiotemporal chaotic state.

Chaotic Dynamics · Physics 2009-11-11 P. L. Ramazza , U. Bortolozzo , S. Boccaletti

We report a design of delay coupling for targeting desired synchronization in delay dynamical systems. We target synchronization, antisynchronization, lag-, antilag- synchronization, amplitude death (or oscillation death) and generalized…

Chaotic Dynamics · Physics 2012-07-04 Dibakar Ghosh , Ioan Grosu , Syamal Kumar Dana

Through numerical simulations we analyze the synchronization time and the Lyapunov dimension of a coupled map lattice consisting of a chain of chaotic logistic maps exhibiting power law interactions. From the observed behaviors we find a…

Chaotic Dynamics · Physics 2016-08-16 Sandro E. de Souza Pinto , José T. Lunardi , Abdala M. Saleh , Antonio M. Batista

Existence of a new type of oscillating synchronization that oscillates between three different types of synchronizations (anticipatory, complete and lag synchronizations) is identified in unidirectionally coupled nonlinear time-delay…

Chaotic Dynamics · Physics 2007-05-23 D. V. Senthilkumar , M. Lakshmanan

We study anticipated synchronization in two complex Ginzburg-Landau systems coupled in a master-slave configuration. Master and slave systems are ruled by the same autonomous function, but the slave system receives the injection from the…

Statistical Mechanics · Physics 2015-09-23 Marzena Ciszak , Catalina Mayol , Claudio R. Mirasso , Raul Toral

In the present Letter we show that the concept of the generalized synchronization regime in discrete maps needs refining in the same way as it has been done for the flow systems [PRE, 84 (2011) 037201]. We have shown that\alkor{, in the…

We investigate the stability of synchronized states in delay-coupled networks where synchronization takes place in groups of different local dynamics or in cluster states in networks with identical local dynamics. Using a master stability…

Chaotic Dynamics · Physics 2015-06-04 Thomas Dahms , Judith Lehnert , Eckehard Schöll

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

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…

Dynamical Systems · Mathematics 2020-07-08 Reyk Börner , Paul Schultz , Benjamin Ünzelmann , Deli Wang , Frank Hellmann , Jürgen Kurths

In this work, the synchronization problem of a master-slave system of autonomous ordinary differential equations (ODEs) is considered. Here, the systems are, chaotic with a nonlinearity represented by a piecewise linear function,…

Chaotic Dynamics · Physics 2021-12-16 J. Telenchana , A. Acosta , P. Garcia

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…

Disordered Systems and Neural Networks · Physics 2013-01-01 Pedro G. Lind , Ana Nunes , Jason A. C. Gallas

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…

Chaotic Dynamics · Physics 2013-03-01 Otti D'Huys , Steffen Zeeb , Thomas Jüngling , Serhiy Yanchuk , Wolfgang Kinzel

The problem of synchronization in heterogeneous networks of linear systems with nonlinear delayed diffusive coupling is considered. The network is presented in new coordinates mean-field dynamics and synchronization errors. Thus the problem…

Adaptation and Self-Organizing Systems · Physics 2022-05-11 Sergei A. Plotnikov

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 investigate the processes of synchronization and phase ordering in a system of globally coupled maps possessing bistable, chaotic local dynamics. The stability boundaries of the synchronized states are determined on the space of…

Chaotic Dynamics · Physics 2014-02-21 O. Alvarez-Llamoza , M. G. Cosenza

We study the problem of scheduling precedence-constrained jobs on heterogenous machines in the presence of non-uniform job and machine communication delays. We are given as input $n$ unit size precedence-ordered jobs and $m$ related…

Data Structures and Algorithms · Computer Science 2022-11-23 Rajmohan Rajaraman , David Stalfa , Sheng Yang

Transitions between inverse anticipatory, inverse complete and inverse lag synchronizations are shown to occur as a function of the coupling delay in unidirectionally coupled time-delay systems with inhibitory coupling. We have also shown…

Chaotic Dynamics · Physics 2015-05-13 D. V. Senthilkumar , J. Kurths , M. Lakshmanan

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…

Systems and Control · Computer Science 2017-11-01 Carlos Murguia , Henk Nijmeijer , Justin Ruths

Chaos synchronization may arise in networks of nonlinear units with delayed couplings. We study complete and sublattice synchronization generated by resonance of two large time delays with a specific ratio. As it is known for single delay…

Chaotic Dynamics · Physics 2016-02-18 Manuel Jimenez Martin , Otti D'Huys , Laura Lauerbach , Elka Korutcheva , Wolfgang Kinzel