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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

Chimeras are surprising yet important states in which domains of decoherent (asynchronous) and coherent (synchronous) oscillations co-exist. In this article, we report on the discovery of a new class of chimeras, called {\it mixed-amplitude…

Pattern Formation and Solitons · Physics 2021-12-22 Tasso J. Kaper , Theodore Vo

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

Synchronization of weakly-coupled non-linear oscillators is a ubiquitous phenomenon that has been observed across the natural sciences. We study the dynamics of optomechanical arrays - networks of mechanically compliant structures that…

Quantum Physics · Physics 2020-02-27 Karl Pelka , Vittorio Peano , André Xuereb

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

We study a system of phase oscillators with nonlocal coupling in a ring that supports self-organized patterns of coherence and incoherence, called chimera states. Introducing a global feedback loop, connecting the phase lag to the order…

Chaotic Dynamics · Physics 2015-08-03 Matthias Wolfrum , Oleh Omel'chenko , Jan Sieber

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

Chimera state is a recently discovered dynamical phenomenon in arrays of nonlocally coupled oscillators, that displays a self-organized spatial pattern of co-existing coherence and incoherence. We discuss the appearance of the chimera…

Chimera states -- named after the mythical beast with a lion's head, a goat's body, and a dragon's tail -- correspond to spatiotemporal patterns characterised by the coexistence of coherent and incoherent domains in coupled systems. They…

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

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 consider networks formed from two populations of identical oscillators, with uniform strength all-to-all coupling within populations, and also between populations, with a different strength. Such systems are known to support chimera…

Chaotic Dynamics · Physics 2019-08-28 Carlo R. Laing

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, states of coexistence of synchronous and asynchronous motion, have been a subject of extensive research since they were first given a name in 2004. Increased interest has lead to their discovery in ever new settings, both…

Adaptation and Self-Organizing Systems · Physics 2021-07-06 Sindre W. Haugland

Nontrivial collective behavior may emerge from the interactive dynamics of many oscillatory units. Chimera states are chaotic patterns of spatially localized coherent and incoherent oscillations. The recently-introduced notion of a weak…

Dynamical Systems · Mathematics 2016-10-10 Christian Bick , Peter Ashwin

Symmetry broken states arise naturally in oscillatory networks. In this Letter, we investigate chaotic attractors in an ensemble of four mean-coupled Stuart-Landau oscillators with two oscillators being synchronized. We report that these…

Chaotic Dynamics · Physics 2018-05-30 Felix P. Kemeth , Sindre W. Haugland , Katharina Krischer

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

Here we study the emergence of chimera states, a recently reported phenomenon referring to the coexistence of synchronized and unsynchronized dynamical units, in a population of Morris-Lecar neurons which are coupled by both electrical and…

Adaptation and Self-Organizing Systems · Physics 2020-03-05 Ali Calim , Joaquin J. Torres , Mahmut Ozer , Muhammet Uzuntarla

We propose a control scheme which can stabilize and fix the position of chimera states in small networks. Chimeras consist of coexisting domains of spatially coherent and incoherent dynamics in systems of nonlocally coupled identical…

Adaptation and Self-Organizing Systems · Physics 2016-03-23 Iryna Omelchenko , Oleh E. Omel'chenko , Anna Zakharova , Matthias Wolfrum , Eckehard Schoell

Complex spatiotemporal patterns, called chimera states, consist of coexisting coherent and incoherent domains and can be observed in networks of coupled oscillators. The interplay of synchrony and asynchrony in complex brain networks is an…

Adaptation and Self-Organizing Systems · Physics 2019-06-20 Teresa Chouzouris , Iryna Omelchenko , Anna Zakharova , Jaroslav Hlinka , Premysl Jiruska , Eckehard Schöll