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A system of symmetrically coupled identical oscillators with phase lag is presented, which is capable of generating a large repertoire of transient (metastable) "chimera" states in which synchronisation and desynchronisation co-exist. The…

Biological Physics · Physics 2013-06-07 Murray Shanahan

We present the emergence of chimeras, a state referring to coexistence of partly coherent, partly incoherent dynamics in networks of identical oscillators, in a multiplex network consisting of two non-identical layers which are…

Chaotic Dynamics · Physics 2017-11-17 Saptarshi Ghosh , Anna Zakharova , Sarika Jalan

The emergence of order in collective dynamics is a fascinating phenomenon that characterizes many natural systems consisting of coupled entities. Synchronization is such an example where individuals, usually represented by either linear or…

Adaptation and Self-Organizing Systems · Physics 2022-01-26 Malbor Asllani , Bram A. Siebert , Alex Arenas , James P. Gleeson

We demonstrate that chimera behavior can be observed in nonlocally coupled networks of excitable systems in the presence of noise. This phenomenon is distinct from classical chimeras, which occur in deterministic oscillatory systems, and it…

Adaptation and Self-Organizing Systems · Physics 2016-07-06 Nadezhda Semenova , Anna Zakharova , Vadim Anishchenko , Eckehard Schöll

Symmetry breaking spatial patterns, referred to as chimera states, have recently been catapulted into the limelight due to their coexisting coherent and incoherent hybrid dynamics. Here, we present a method to engineer a chimera state by…

Chaotic Dynamics · Physics 2018-08-15 Saptarshi Ghosh , Sarika Jalan

We report on a new type of chimera state that attracts almost all initial conditions and exhibits power-law switching behavior in networks of coupled oscillators. Such switching chimeras consist of two symmetric configurations, which we…

Disordered Systems and Neural Networks · Physics 2020-02-28 Yuanzhao Zhang , Zachary G. Nicolaou , Joseph D. Hart , Rajarshi Roy , Adilson E. Motter

We consider a social-type network of coupled phase oscillators. Such a network consists of an active core of mutually interacting elements, and of a flock of passive units, which follow the driving from the active elements, but otherwise…

Pattern Formation and Solitons · Physics 2020-11-04 Arkady Pikovsky

Localized phenomena abound in nature and throughout the physical sciences. Some universal mechanisms for localization have been characterized, such as in the snaking bifurcations of localized steady states in pattern-forming partial…

Pattern Formation and Solitons · Physics 2024-02-20 Zachary G. Nicolaou , Jason J. Bramburger

We study the influence of nonuniform motion of oscillators in a ring chain with nonlocal coupling on their collective dynamics and reveal the mechanism behind the emergence of an atypical chimera state in such systems. The mechanism relies…

Pattern Formation and Solitons · Physics 2025-12-02 Pavel A. Shcherbakov , Lev A. Smirnov , Vasily A. Kostin , Maxim I. Bolotov , Grigory V. Osipov

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…

Chaotic Dynamics · Physics 2019-03-08 Anjuman Ara Khatun , Haider Hasan Jafri

We study chimera states, which are partial synchronization patterns consisting of spatially coexisting domains of coherent (synchronized) and incoherent (desynchronized) dynamics, in ring networks of FitzHugh-Nagumo oscillators with fractal…

Adaptation and Self-Organizing Systems · Physics 2019-03-27 Jakub Sawicki , Iryna Omelchenko , Anna Zakharova , Eckehard Schöll

Recent research has led to the discovery of fundamental new phenomena in network synchronization, including chimera states, explosive synchronization, and asymmetry-induced synchronization. Each of these phenomena has thus far been observed…

Adaptation and Self-Organizing Systems · Physics 2019-01-31 Zachary G. Nicolaou , Deniz Eroglu , Adilson E. Motter

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…

Pattern Formation and Solitons · Physics 2015-05-18 G. Bordyugov , A. Pikovsky , M. Rosenblum

Recently a novel dynamical state, called the {\it chimera death}, is discovered in a network of non locally coupled identical oscillators [A. Zakharova, M. Kapeller, and E. Sch\"oll, Phy.Rev.Lett. 112, 154101 (2014)], which is defined as…

Chaotic Dynamics · Physics 2014-09-30 Tanmoy Banerjee

By developing the concepts of strength of incoherence and discontinuity measure, we show that a distinct quantitative characterization of chimera and multichimera states which occur in networks of coupled nonlinear dynamical systems…

Chaotic Dynamics · Physics 2015-06-19 R. Gopal , V. K. Chandrasekar , A. Venkatesan , M. Lakshmanan

Coupled phase oscillators model a variety of dynamical phenomena in nature and technological applications. Non-local coupling gives rise to chimera states which are characterized by a distinct part of phase-synchronized oscillators while…

Adaptation and Self-Organizing Systems · Physics 2015-03-17 Christian Bick , Erik A. Martens

We discuss the breakdown of spatial coherence in networks of coupled oscillators with nonlocal interaction. By systematically analyzing the dependence of the spatio-temporal dynamics on the range and strength of coupling, we uncover a…

Adaptation and Self-Organizing Systems · Physics 2015-05-27 Iryna Omelchenko , Yuri Maistrenko , Philipp Hövel , Eckehard Schöll

Functional oscillator networks, such as neuronal networks in the brain, exhibit switching between metastable states involving many oscillators. We give exact results how such global dynamics can arise in paradigmatic phase oscillator…

Adaptation and Self-Organizing Systems · Physics 2018-05-09 Christian Bick

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…

Pattern Formation and Solitons · Physics 2025-10-22 Riccardo Muolo , Thierry Njougouo , Lucia Valentina Gambuzza , Timoteo Carletti , Mattia Frasca

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…

Adaptation and Self-Organizing Systems · Physics 2017-03-08 K. Premalatha , V. K. Chandrasekar , M. Senthilvelan , M. Lakshmanan
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