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We study systems of identical coupled oscillators introducing a distribution of delay times in the coupling. For arbitrary network topologies, we show that the frequency and stability of the fully synchronized states depend only on the mean…

Chaotic Dynamics · Physics 2016-07-04 Lucas Wetzel , Luis G. Morelli , Andrew C. Oates , Frank Julicher , Saul Ares

Generalized synchronization (GS) describes a state in which two coupled dynamical systems exhibit a functional relationship between their variables. GS can be achieved by appropriately designing the coupling to constrain the dynamics onto…

Chaotic Dynamics · Physics 2025-03-19 Tania Ghosh , Soumitro Banerjee

This paper deals with the chaotic oscillator synchronization. A new approach to detect the synchronized behaviour of chaotic oscillators has been proposed. This approach is based on the analysis of different time scales in the time series…

Chaotic Dynamics · Physics 2009-11-11 Alexander E. Hramov , Alexey A. Koronovskii , Yurij I. Levin

We experimentally demonstrate synchronization between two distinct ensembles of cold atoms undergoing steady state superradiance within a single longitudinal and transverse mode of the same optical cavity. The synchronization process is…

Atomic Physics · Physics 2017-03-15 Joshua M. Weiner , Kevin C. Cox , Justin G. Bohnet , James K. Thompson

Coupled map lattices are paradigmatic models of many collective phenomena. However, quite different patterns can emerge depending on the updating scheme. While in early versions, maps were updated synchronously, there has been in recent…

Chaotic Dynamics · Physics 2016-06-15 Juan Carlos González-Avella , Celia Anteneodo

We present the first report on inverse chaos synchronization between bi-directionally non-linearly and linearly coupled variable multiple time delay Ikeda systems. The results are of certain importance in secure chaos-based communication…

Chaotic Dynamics · Physics 2010-06-29 Elman Shahverdiev

In this paper, we propose a dynamic delayed feedback control approach for desynchronization of chaotic-bursting synchronous activities in an ensemble of globally coupled neuronal oscillators. We demonstrate that the difference signal…

Chaotic Dynamics · Physics 2015-06-19 Yanqiu Che , Tingting Yang , Ruixue Li , Huiyan Li , Chunxiao Han , Jiang Wang , Xile Wei

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 a recent letter, Fisher et al. reported the phenomenon of zero-lag long range isochronous synchronization via dynamical relaying in systems with delay [Phys. Rev. Lett. bf 97, 123902 (2006)]. They reported that when one has two coupled…

Statistical Mechanics · Physics 2007-05-23 Maria de Sousa Vieira

We present a generalized information-theoretic measure of synchronization in quantum systems. This measure is applicable to dynamics of anharmonic oscillators, few-level atoms, and coupled oscillator networks. Furthermore, the new measure…

The so-called method of phase synchronization has been advocated in a number of papers as a way of decoupling a system of linear second-order differential equations by a linear transformation of coordinates and velocities. This is a rather…

Differential Geometry · Mathematics 2022-03-11 W. Sarlet , T. Mestdag

A universal mechanism underlying generalized synchronization conditions in unidirectionally coupled stochastic oscillators is considered. The consideration is carried out in the framework of a modified system with additional dissipation.…

Chaotic Dynamics · Physics 2009-11-11 A. A. Koronovskii , O. I. Moskalenko , A. E. Hramov

In this paper we present a generalized analytical solution to the generalized state equations of coupled second-order non-autonomous circuit systems. The analytical solutions thus obtained are used to study the synchronization dynamics of…

Chaotic Dynamics · Physics 2017-09-13 G. Sivaganesh , A. Arulgnanam

In-phase synchronization is a special case of synchronous behavior when coupled oscillators have the same phases for any time moments. Such behavior appears naturally for nearly identical coupled limit-cycle oscillators when the coupling…

Adaptation and Self-Organizing Systems · Physics 2019-09-24 Viktor Novičenko , Irmantas Ratas

Concurrent synchronization is a regime where diverse groups of fully synchronized dynamic systems stably coexist. We study global exponential synchronization and concurrent synchronization in the context of Lagrangian systems control. In a…

Optimization and Control · Mathematics 2009-05-18 Soon-Jo Chung , Jean-Jacques E. Slotine

Delayed feedback laser dynamics is described by means of Lang-Kobayashi equation model. Since a lot of initial states asymptotically approach to periodic attractor in the phase space, only periodic steady-state regimes have been studied…

Chaotic Dynamics · Physics 2011-10-06 Anatoly P. Napartovich , Alexander G. Sukharev

Full understanding of synchronous behavior in coupled dynamical systems beyond the identical case requires an explicit construction of the generalized synchronization manifold, whether we wish to compare the systems, or to understand their…

Chaotic Dynamics · Physics 2009-11-13 Jie Sun , Erik M. Bollt , Takashi Nishikawa

We point out the existence of a transition from partial to global generalized synchronization (GS) in symmetrically coupled structurally different time-delay systems of different orders using the auxiliary system approach and the mutual…

Chaotic Dynamics · Physics 2016-11-07 R. Suresh , D. V. Senthilkumar , M. Lakshmanan , J. Kurths

An analogy between crowd synchrony and multi-layer neural network architectures is proposed. It indicates that many non-identical dynamical elements (oscillators) communicating indirectly via a few mediators (hubs) can synchronize when the…

Chaotic Dynamics · Physics 2015-06-04 Elad Cohen , Michael Rosenbluh , Ido Kanter

In this work, we present a problem of simultaneous input-output feedback linearization and decoupling (non-interacting) for mechanical control systems with outputs. We show that the natural requirement of preserving mechanical structure of…

Optimization and Control · Mathematics 2024-06-25 Marcin Nowicki , Witold Respondek
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