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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 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…

Chaotic Dynamics · Physics 2015-06-18 Azamat Yeldesbay , Arkady Pikovsky , Michael Rosenblum

In a recent study of chaos synchronization in symmetric complex networks [Pecora \textit{et al}., Nat. Commun. {\bf 5}, 4079 (2014)], it is found that stable synchronous clusters may coexist with many non-synchronous nodes in the…

Chaotic Dynamics · Physics 2015-12-31 Weijie Lin , Huiyan Li , Heping Ying , Xingang Wang

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

Classical chimera states are paradigmatic examples of partial synchronization patterns emerging in nonlinear dynamics. These states are characterized by the spatial coexistence of two dramatically different dynamical behaviors, i.e.,…

Quantum Physics · Physics 2018-07-24 V. M. Bastidas , I. Omelchenko , A. Zakharova , E. Schöll , T. Brandes

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

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

Chimera states in spatially extended networks of oscillators have some oscillators synchronised while the remainder are asynchronous. These states have primarily been studied in networks with nonlocal coupling, and more recently in networks…

Pattern Formation and Solitons · Physics 2015-12-09 Carlo R. Laing

Chimera-like states are manifested through the coexistence of synchronous and asynchronous dynamics and have been observed in various systems. To analyze the role of network topology in giving rise to chimera-like states we study a…

Pattern Formation and Solitons · Physics 2017-04-20 Bo Li , David Saad

More than a decade ago, a surprising coexistence of synchronous and asynchronous behavior called the chimera state was discovered in networks of nonlocally coupled identical phase oscillators. In later years, chimeras were found to occur in…

Chaotic Dynamics · Physics 2015-06-17 Tassos Bountis , Vasileios G. Kanas , Johanne Hizanidis , Anastasios Bezerianos

We study a network of three populations of coupled phase oscillators with identical frequencies. The populations interact nonlocally, in the sense that all oscillators are coupled to one another, but more weakly to those in neighboring…

Adaptation and Self-Organizing Systems · Physics 2012-02-14 Erik Andreas Martens

In a network of coupled oscillators, a symmetry-broken dynamical state characterized by the coexistence of coherent and incoherent parts can spontaneously form. It is known as a chimera state. We study chimera states in a network consisting…

Adaptation and Self-Organizing Systems · Physics 2023-06-21 Seungjae Lee , Katharina Krischer

Large communities of biological oscillators show a prevalent tendency to self-organize in time. This cooperative phenomenon inspired Winfree to formulate a mathematical model that originated the theory of macroscopic synchronization.…

Adaptation and Self-Organizing Systems · Physics 2014-01-30 Diego Pazó , Ernest Montbrió

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 investigate the synchronization behavior and the emergence of chimera states in a system of two interacting populations of maps possessing chaotic neural-like dynamics. We characterize four collective states on the space of coupling…

Adaptation and Self-Organizing Systems · Physics 2024-07-31 V. J. Márquez-Rodríguez , K. Tucci , M. G. Cosenza

The recently discovered chimera state involves the coexistence of synchronized and desynchronized states for a group of identical oscillators. This fascinating chimera state has until now been found only in non-local or globally coupled…

Pattern Formation and Solitons · Physics 2016-03-23 Bing-Wei Li , Hans Dierckx

Chimera states are an example of intriguing partial synchronization patterns emerging in networks of identical oscillators. They consist of spatially coexisting domains of coherent (synchronized) and incoherent (desynchronized) dynamics. We…

Adaptation and Self-Organizing Systems · Physics 2017-08-02 Jakub Sawicki , Iryna Omelchenko , Anna Zakharova , Eckehard Schöll

We have identified the occurrence of chimera states for various coupling schemes in networks of two-dimensional and three-dimensional Hindmarsh-Rose oscillators, which represent realistic models of neuronal ensembles. This result, together…

Chaotic Dynamics · Physics 2015-06-16 Johanne Hizanidis , Vasilis Kanas , Anastasios Bezerianos , Tassos Bountis

The dynamics of two symmetrically coupled populations of rotators is studied for different values of the inertia. The system is characterized by different types of solutions, which all coexist with the fully synchronized state. At small…

Disordered Systems and Neural Networks · Physics 2016-01-05 Simona Olmi

How higher-order interactions influence dynamical behavior in networks of coupled chaotic oscillators remains an open question. To address this, we investigate emergent dynamical behaviors in a wheel network of R\"ossler and Lorenz…

Chaotic Dynamics · Physics 2026-01-06 Ashwathi Poolamanna , Medha Bhindwar , Chandrakala Meena