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Chimera states occur in networks of coupled oscillators, and are characterized by having some fraction of the oscillators perfectly synchronized, while the remainder are desynchronized. Most chimera states have been observed in networks of…

Chaotic Dynamics · Physics 2015-05-19 Carlo R. Laing

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

Chimera states, a symmetry-breaking spatiotemporal pattern in nonlocally coupled identical dynamical units, prevail in a variety of systems. Here, we consider a population of nonlocally coupled bicomponent phase oscillators in which…

Adaptation and Self-Organizing Systems · Physics 2018-08-10 Qionglin Dai , Kai Yang , Hongyan Cheng , Haihong Li , Fagen Xie , Junzhong Yang

For a globally coupled network of semiconductor lasers with delayed optical feedback, we demonstrate the existence of chimera states. The domains of coherence and incoherence that are typical for chimera states are found to exist for the…

Chaotic Dynamics · Physics 2015-05-20 Fabian Böhm , Anna Zakharova , Eckehard Schöll , Kathy Lüdge

The chimera state with co-existing coherent-incoherent dynamics has recently attracted a lot of attention due to its wide applicability. We investigate non-locally coupled identical chaotic maps with delayed interactions in the multiplex…

Chaotic Dynamics · Physics 2017-04-19 Saptarshi Ghosh , Anil Kumar , Anna Zakharova , Sarika Jalan

Chimera states, which consist of coexisting domains of coherent and incoherent parts, have been observed in a variety of systems. Most of previous works on chimera states have taken into account specific form of interaction between…

Adaptation and Self-Organizing Systems · Physics 2016-11-15 Hongyan Cheng , Qionglin Dai , Nianping Wu , Yuee Feng , Haihong Li , Junzhong Yang

Since its discovery in 2002, the chimera state has frequently been described as a counter-intuitive, puzzling phenomenon. The Kuramoto model, in contrast, has become a celebrated paradigm useful for understanding a range of phenomena…

Pattern Formation and Solitons · Physics 2018-01-12 Tejas Kotwal , Xin Jiang , Daniel M. Abrams

We show that chimera patterns can be induced by noise in nonlocally coupled neural networks in the excitable regime. In contrast to classical chimeras, occurring in noise-free oscillatory networks, they have features of two phenomena:…

Adaptation and Self-Organizing Systems · Physics 2016-11-11 Anna Zakharova , Nadezhda Semenova , Vadim Anishchenko , Eckehard Schöll

A class of adaptation functions is found for which a synchronous oscillation mode exists in the network of phase oscillators with triadic couplings. It is shown that the destruction of the synchronous mode occurs differently for networks…

Chaotic Dynamics · Physics 2023-11-13 Anastasiia Emelianova , Vladimir Nekorkin

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

Self-organized coherence-incoherence patterns, called chimera states, have first been reported in systems of Kuramoto oscillators. For coupled excitable units similar patterns, where coherent units are at rest, are called bump states. Here,…

Pattern Formation and Solitons · Physics 2023-06-21 Igor Franović , Oleh E. Omel'chenko , Matthias Wolfrum

Chimera states are among the most intriguing phenomena in nonlinear dynamics, characterized by the coexistence of coherent and incoherent behavior in systems of coupled identical oscillators. Many methods have been proposed to detect…

Pattern Formation and Solitons · Physics 2026-05-12 Rommel Tchinda Djeudjo , Riccardo Muolo , Thierry Njougouo , Timoteo Carletti

Chimera states, namely complex spatiotemporal patterns that consist of coexisting domains of spatially coherent and incoherent dynamics, are investigated in a network of coupled identical oscillators. These intriguing spatiotemporal…

Chaotic Dynamics · Physics 2017-05-29 Sarbendu Rakshit , Bidesh K. Bera , Matjaz Perc , Dibakar Ghosh

We investigate the emergence of chimera and cluster states possessing asymmetric dynamics in globally coupled systems, where the trajectories of oscillators belonging to different subpopulations exhibit different dynamical properties. In an…

Chaotic Dynamics · Physics 2018-11-26 A. V. Cano , M. G. Cosenza

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,…

Pattern Formation and Solitons · Physics 2017-09-27 J. Shena , J. Hizanidis , P. Hövel , G. P. Tsironis

Nonlinear systems possessing nonattracting chaotic sets, such as chaotic saddles, embedded in their state space may oscillate chaotically for a transient time before eventually transitioning into some stable attractor. We show that these…

Chaotic Dynamics · Physics 2023-07-14 Everton S. Medeiros , Oleh Omel'chenko , Ulrike Feudel

Chimera states are a captivating occurrence in which a system composed of multiple interconnected elements exhibits a distinctive combination of synchronized and desynchronized behavior. The emergence of these states can be attributed to…

Statistical Mechanics · Physics 2024-06-27 Mahbub Rahaman , Akitada Sakurai , Analabha Roy

Chimera states in networks of coupled oscillators occur when some fraction of the oscillators synchronise with one another, while the remaining oscillators are incoherent. Several groups have studied chimerae in networks of identical…

Chaotic Dynamics · Physics 2009-11-13 Carlo R. Laing

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…

Chaotic Dynamics · Physics 2015-02-23 Lennart Schmidt , Katharina Krischer

The Superconducting QUantum Interference Device (SQUID) is a highly nonlinear oscillator with rich dynamical behavior, including chaos. When driven by a time-periodic magnetic flux, the SQUID exhibits extreme multistability at frequencies…

Pattern Formation and Solitons · Physics 2020-01-29 Johanne Hizanidis , Nikos Lazarides , Giorgos P. Tsironis
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