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Interaction within an ensemble of coupled nonlinear oscillators induces a variety of collective behaviors. One of the most fascinating is a chimera state which manifests the coexistence of spatially distinct populations of coherent and…

Adaptation and Self-Organizing Systems · Physics 2020-08-18 Nikita Frolov , Vladimir Maksimenko , Soumen Majhi , Sarbendu Rakshit , Dibakar Ghosh , Alexander Hramov

Chimera states, a symmetry-breaking spatiotemporal pattern in nonlocally coupled dynamical units, prevail in a variety of systems. However, the interaction structures among oscillators are static in most of studies on chimera state. In this…

Adaptation and Self-Organizing Systems · Physics 2019-05-23 Wenhao Wang , Qionglin Dai , Hongyan Cheng , Haihong Li , Junzhong Yang

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…

In many real-life situations, individuals are dared to simultaneously achieve social objectives of acceptance or approval and strategic objectives of coordination. Since these two objectives may take place in dfferent environments, a…

Physics and Society · Physics 2018-12-17 Haydee Lugo , Juan Carlos Gonzalez-Avella , Maxi San Miguel

We study numerically the development of chimera states in networks of nonlocally coupled oscillators whose limit cycles emerge from a Hopf bifurcation. This dynamical system is inspired from population dynamics and consists of three…

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

Systems of nonlocally coupled oscillators can exhibit complex spatio-temporal patterns, called chimera states, which consist of coexisting domains of spatially coherent (synchronized) and incoherent dynamics. We report on a novel form of…

Adaptation and Self-Organizing Systems · Physics 2018-02-02 Iryna Omelchenko , Oleh E. Omel'chenko , Philipp Hövel , Eckehard Schöll

The coexistence of coherent and incoherent domains, namely the appearance of chimera states, is being studied extensively in many contexts of science and technology since the past decade, though the previous studies are mostly built on the…

Chaotic Dynamics · Physics 2019-02-05 Srilena Kundu , Bidesh K. Bera , Dibakar Ghosh , M. Lakshmanan

Chimera is a relatively new emerging phenomenon where coexistence of synchronous and asynchronous state is observed in symmetrically coupled dynamical units. We report observation of the chimera state in multiplex networks where individual…

Chaotic Dynamics · Physics 2016-10-27 Saptarshi Ghosh , Sarika Jalan

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

When chaotic oscillators are coupled in complex networks a number of interesting synchronization phenomena emerge. Notable examples are the frequency and amplitude chimeras, chimera death states, solitary states as well as combinations of…

Adaptation and Self-Organizing Systems · Physics 2023-10-31 Astero Provata

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

Systems of coupled oscillators have been seen to exhibit chimera states, i.e. states where the system splits into two groups where one group is phase locked and the other is phase randomized. In this work, we report the existence of chimera…

Chaotic Dynamics · Physics 2015-05-20 Chitra R Nayak , Neelima Gupte

Different aspects of synchronization emerging in dynamical networks of coupled oscillators have been examined prominently in the last decades. Nevertheless, little attention has been paid on the emergence of this imperative collective…

Adaptation and Self-Organizing Systems · Physics 2019-01-09 Soumen Majhi , Dibakar Ghosh , Jürgen Kurths

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

Chimera states, marked by the coexistence of order and disorder in systems of coupled oscillators, have captivated researchers with their existence and intricate patterns. Despite ongoing advances, a fully understanding of the genesis of…

Adaptation and Self-Organizing Systems · Physics 2024-12-10 Malbor Asllani , Alex Arenas

Understanding the global dynamical behaviour of a network of coupled oscillators has been a topic of immense research in many fields of science and engineering. Various factors govern the resulting dynamical behaviour of such networks,…

Adaptation and Self-Organizing Systems · Physics 2022-07-19 Krishna Manoj , Samadhan A. Pawar , R. I. Sujith

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

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 occur in networks of two coupled populations of oscillators when the oscillators in one population synchronise while those in the other are asynchronous. We consider chimeras of this form in networks of planar oscillators for which…

Dynamical Systems · Mathematics 2022-02-23 Carlo R. Laing