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Related papers: Chimera states in heterogeneous networks

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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

The phenomenon of the chimera state symbolizes the coexistence of coherent and incoherent sections of a given population. This phenomenon identified in several physical and biological systems presents several variants, including the…

Adaptation and Self-Organizing Systems · Physics 2021-06-30 Gaël R. Simo , Thierry Njougouo , R. P. Aristides , Patrick Louodop , Robert Tchitnga , Hilda A. Cerdeira

Chimera states, which consist of coexisting domains of spatially coherent and incoherent dynamics, have been widely found in nonlocally coupled oscillatory systems. We demonstrate for the first time that chimera states can emerge from…

Adaptation and Self-Organizing Systems · Physics 2017-05-04 Qionglin Dai , Mengya Zhang , Hongyan Cheng , Haihong Li , Fagen Xie , Junzhong Yang

Chimera states are synchronization patterns in which coherent and incoherent regions coexist in systems of identical oscillators. This elusive phenomenon has attracted significant interest and has been widely analyzed, revealing several…

Pattern Formation and Solitons · Physics 2026-04-24 Rommel Tchinda Djeudjo , Timoteo Carletti , Hiroya Nakao , Riccardo Muolo

Chimera state is defined as a mixed type of collective state in which synchronized and desynchronized subpopulations of a network of coupled oscillators coexist and the appearance of such anomalous behavior has strong connection to diverse…

Adaptation and Self-Organizing Systems · Physics 2018-02-07 Srilena Kundu , Soumen Majhi , Bidesh K. Bera , Dibakar Ghosh , M. Lakshmanan

We investigate two types of chimera states, i.e., patterns consisting of coexisting spatially separated domains with coherent and incoherent dynamics, in ring networks of Stuart-Landau oscillators with symmetry-breaking coupling, under the…

Adaptation and Self-Organizing Systems · Physics 2016-01-27 Sarah A. M. Loos , Jens Christian Claussen , Eckehard Schöll , Anna Zakharova

We analyze nonlocally coupled networks of identical chaotic oscillators with either time-discrete or time-continuous dynamics (Henon map, Lozi map, Lorenz system). We hypothesize that chimera states, in which spatial domains of coherent…

Adaptation and Self-Organizing Systems · Physics 2016-01-20 Nadezhda Semenova , Anna Zakharova , Eckehard Schöll , Vadim Anishchenko

The emergence of order in nature manifests in different phenomena, with synchronization being one of the most representative examples. Understanding the role played by the interactions between the constituting parts of a complex system in…

Pattern Formation and Solitons · Physics 2025-10-22 Riccardo Muolo , Joseph D. O'Brien , Timoteo Carletti , Malbor Asllani

Chimera states are a phenomenon in which order and disorder can co-exist within a network that is fully homogeneous. Precisely how transient chimeras emerge in finite networks of Kuramoto oscillators with phase-lag remains unclear.…

Chaotic Dynamics · Physics 2023-11-03 Roberto C. Budzinski , James W. C. Graham , Ján Mináč , Lyle E. Muller

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,…

Adaptation and Self-Organizing Systems · Physics 2015-12-22 Yusuke Suda , Koji Okuda

We investigate "chimera" states in a ring of identical phase oscillators coupled in a time-delayed and spatially non-local fashion. We find novel "clustered chimera" states that have spatially distributed phase coherence separated by…

Pattern Formation and Solitons · Physics 2009-11-13 Gautam C. Sethia , Abhijit Sen , Fatihcan M. Atay

We report the occurrence of a self-emerging frequency chimera state in spatially extended systems of coupled oscillators, where the coherence and incoherence are defined with respect to the emergent frequency of the oscillations. This is…

Adaptation and Self-Organizing Systems · Physics 2021-12-28 Sneha Kachhara , G. Ambika

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

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

We show that amplitude-mediated phase chimeras and amplitude chimeras can occur in the same network of nonlocally coupled identical oscillators. These are two different partial synchronization patterns, where spatially coherent domains…

Adaptation and Self-Organizing Systems · Physics 2021-12-08 Tanmoy Banerjee , Debabrata Biswas , Debarati Ghosh , Eckehard Schoell , Anna Zakharova

Chimera and Solitary states have captivated scientists and engineers due to their peculiar dynamical states corresponding to the co-existence of coherent and incoherent dynamical evolution in coupled units in various natural and artificial…

Adaptation and Self-Organizing Systems · Physics 2022-02-15 Niraj Kushwaha , Naveen Kumar Mendola , Saptarshi Ghosh , Ajay Deep Kachhvah , Sarika Jalan

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…

Chaotic Dynamics · Physics 2015-06-22 Andrea Vüllings , Johanne Hizanidis , Iryna Omelchenko , Philipp Hövel

It is widely held that identical systems tend to behave similarly under comparable conditions. Yet, for systems that interact through a network, symmetry breaking can lead to scenarios in which this expectation does not hold. Prominent…

Pattern Formation and Solitons · Physics 2025-09-24 Jorge Luis Ocampo-Espindola , Christian Bick , Adilson E. Motter , István Z. Kiss

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

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