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Chimera is a fascinating phenomenon of coexisting synchronized and desynchronized behaviour that was discovered in networks of nonlocally coupled identical phase oscillators over ten years ago. Since then, chimeras were found in numerous…

混沌动力学 · 物理学 2015-06-22 Andrea Vüllings , Johanne Hizanidis , Iryna Omelchenko , Philipp Hövel

We report on a self-emerging chimera state in a homogeneous chain of nonlocally and nonlinearly coupled oscillators. This chimera, i.e. a state with coexisting regions of complete and partial synchrony, emerges via a supercritical…

斑图形成与孤子 · 物理学 2015-05-18 G. Bordyugov , A. Pikovsky , M. Rosenblum

Collective behavior among coupled dynamical units can emerge in various forms as a result of different coupling topologies as well as different types of coupling functions. Chimera states have recently received ample attention as a…

适应与自组织系统 · 物理学 2017-05-24 Bidesh K. Bera , Soumen Majhi , Dibakar Ghosh , Matjaz Perc

We discuss the desynchronization transition in networks of globally coupled identical oscillators with attractive and repulsive interactions. We show that, if attractive and repulsive groups act in antiphase or close to that, a solitary…

适应与自组织系统 · 物理学 2015-06-18 Yuri Maistrenko , Bogdan Penkovsky , Michael Rosenblum

We demonstrate emergence of a complex state in a homogeneous ensemble of globally coupled identical oscillators, reminiscent of chimera states in locally coupled oscillator lattices. In this regime some part of the ensemble forms a…

混沌动力学 · 物理学 2015-06-18 Azamat Yeldesbay , Arkady Pikovsky , Michael Rosenblum

Chimera states are complex spatio-temporal patterns in which domains of synchronous and asynchronous dynamics coexist in coupled systems of oscillators. We examine how the character of the individual elements influences chimera states by…

适应与自组织系统 · 物理学 2015-09-02 Iryna Omelchenko , Anna Zakharova , Philipp Hoevel , Julien Siebert , Eckehard Schoell

We study the phase synchronization between collective rhythms of fully locked oscillator groups. For weakly interacting groups of two oscillators with global sinusoidal coupling, we analytically derive the collective phase coupling…

适应与自组织系统 · 物理学 2014-05-01 Yoji Kawamura

Many systems of physical and biological interest are characterized by assemblies of phase oscillators whose interaction is mediated by a diffusing chemical. The coupling effect results from the fact that the local concentration of the…

适应与自组织系统 · 物理学 2023-06-21 Pedro Haerter , Ricardo L. Viana

Chimera states are dynamical states where regions of synchronous trajectories coexist with incoherent ones. A significant amount of research has been devoted to study chimera states in systems of identical oscillators, non-locally coupled…

斑图形成与孤子 · 物理学 2025-10-22 Riccardo Muolo , Thierry Njougouo , Lucia Valentina Gambuzza , Timoteo Carletti , Mattia Frasca

We have investigated synchronized pattern in a network of Thomas oscillators coupled with sinusoidal nonlinear coupling. Pattern like chimera states are not only observed for many non-locally coupled oscillators but there is a signature of…

适应与自组织系统 · 物理学 2021-04-14 Vinesh Vijayan , Biplab Ganguli

Systems of coupled oscillators have been seen to exhibit chimera states, i.e. states where the system splits into two groups where one group is phase locked and the other is phase randomized. In this work, we report the existence of chimera…

混沌动力学 · 物理学 2015-05-20 Chitra R Nayak , Neelima Gupte

Chimera states in the systems of nonlocally coupled phase oscillators are considered stable in the continuous limit of spatially distributed oscillators. However, it is reported that in the numerical simulations without taking such limit,…

适应与自组织系统 · 物理学 2015-12-22 Yusuke Suda , Koji Okuda

We consider a general model for a network of oscillators with time delayed, circulant coupling. We use the theory of weakly coupled oscillators to reduce the system of delay differential equations to a phase model where the time delay…

动力系统 · 数学 2016-07-21 Sue Ann Campbell , Zhen Wang

The coexistence of coherently and incoherently oscillating parts in a system of identical oscillators with symmetrical coupling, i.e., a chimera state, is even observable with uniform global coupling. We address the question of the…

混沌动力学 · 物理学 2015-02-23 Lennart Schmidt , Katharina Krischer

We show the existence of chimera-like states in two distinct groups of identical populations of globally coupled Stuart-Landau oscillators. The existence of chimera-like states occurs only for a small range of frequency difference between…

适应与自组织系统 · 物理学 2017-03-08 K. Premalatha , V. K. Chandrasekar , M. Senthilvelan , M. Lakshmanan

Adaptive coupling, where the coupling is dynamical and depends on the behaviour of the oscillators in a complex system, is one of the most crucial factors to control the dynamics and streamline various processes in complex networks. In this…

适应与自组织系统 · 物理学 2014-06-17 V. K. Chandrasekar , Jane H. Sheeba , B. Subash , M. Lakshmanan , J. Kurths

We show that chimera states, where differentiated subsets of synchronized and desynchronized dynamical elements coexist, can emerge in networks of hyperbolic chaotic oscillators subject to global interactions. As local dynamics we employ…

混沌动力学 · 物理学 2017-04-05 A. V. Cano , M. G. Cosenza

Study of collective phenomenon in populations of coupled oscillators are a subject of intense exploration in physical, biological, neuronal and social systems. Here we propose a scheme for the creation of chimera states, namely the…

混沌动力学 · 物理学 2019-03-08 Anjuman Ara Khatun , Haider Hasan Jafri

We present an exemplary system of three identical oscillators in a ring interacting repulsively to show up chimera patterns. The dynamics of individual oscillators is governed by the superconducting Josephson junction. Surprisingly, the…

适应与自组织系统 · 物理学 2021-11-08 Suman Saha , Syamal Kumar Dana

The dynamics of a large array of coupled semiconductor lasers is studied for a nonlocal coupling scheme. Our focus is on chimera states, a self-organized spatio-temporal pattern of co-existing coherence and incoherence. In laser systems,…

斑图形成与孤子 · 物理学 2017-09-27 J. Shena , J. Hizanidis , P. Hövel , G. P. Tsironis