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We observe chimeralike states in an ensemble of oscillators using a type of global coupling consisting of two components: attractive and repulsive mean-field feedback. We identify existence of two types of chimeralike states in a bistable…

Chaotic Dynamics · Physics 2016-01-20 Arindam Mishra , Chittaranjan Hens , Mridul Bose , Prodyot K. Roy , Syamal K. Dana

Chimera states in systems of nonlocally coupled oscillators, i.e., self-organized coexistence of coherent and incoherent oscillator populations, have attracted much attention. In this study, we consider the effect of frequency…

Adaptation and Self-Organizing Systems · Physics 2025-02-06 Petar Mircheski , Hiroya Nakao

We study numerically the spatiotemporal dynamics in a ring network of nonlocally coupled nonlinear oscillators, each represented by a two-dimensional discrete-time model of the classical van der Pol oscillator. It is shown that the…

Adaptation and Self-Organizing Systems · Physics 2023-04-14 Elena Rybalova , Sishu Muni , Galina Strelkova

We study the existence of chimera states, i.e. mixed states, in a globally coupled sine circle map lattice, with different strengths of inter-group and intra-group coupling. We find that at specific values of the parameters of the CML, a…

Chaotic Dynamics · Physics 2020-03-18 Joydeep Singha , Neelima Gupte

Many studies of synchronization properties of coupled oscillators, based on the classical Kuramoto approach, focus on ensembles coupled via a mean field. Here we introduce a setup of Kuramoto-type phase oscillators coupled via two mean…

Chaotic Dynamics · Physics 2017-06-19 Xiyun Zhang , Arkady Pikovsky , Zonghua Liu

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

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

Chimera states for the one-dimensional array of nonlocally coupled phase oscillators in the continuum limit are assumed to be stationary states in most studies, but a few studies report the existence of breathing chimera states. We focus on…

Adaptation and Self-Organizing Systems · Physics 2018-04-24 Yusuke Suda , Koji Okuda

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

Networks of identical, symmetrically coupled oscillators can spontaneously split into synchronized and desynchronized sub-populations. Such chimera states were discovered in 2002, but are not well understood theoretically. Here we obtain…

Chaotic Dynamics · Physics 2015-04-07 Daniel M. Abrams , Renato E. Mirollo , Steven H. Strogatz , Daniel A. Wiley

Global and partial synchronization are the two distinctive forms of synchronization in coupled oscillators and have been well studied in the past decades. Recent attention on synchronization is focused on the chimera state (CS) and…

Physics and Society · Physics 2017-02-28 Xiyun Zhang , Hongjie Bi , Shuguang Guan , Jinming Liu , Zonghua Liu

We study the dynamics of a multilayer network of chaotic oscillators subject to an amplification. Previous studies have proven that multilayer networks present phenomena such as synchronization, cluster and chimera states. Here we consider…

Adaptation and Self-Organizing Systems · Physics 2021-02-03 Thierry Njougouo , Victor Camargo , Patrick Louodop , Fernando Fagundes Ferreira , Pierre K. Talla , Hilda A. Cerdeira

Coupled hair cells of the auditory and vestibular systems perform the crucial task of converting the energy of sound waves and ground-borne vibrations into ionic currents. We mechanically couple groups of living, active hair cells with…

Adaptation and Self-Organizing Systems · Physics 2021-08-25 Justin Faber , Dolores Bozovic

In a network of pulse-coupled oscillators with adaptive coupling, we a dynamical regime which we call an `itinerant chimera'. Similarly as in classical chimera states, the network splits into two domains, the coherent and the incoherent…

Chaotic Dynamics · Physics 2019-02-13 Dmitry Kasatkin , Vladimir Klinshov , Vladimir Nekorkin

Formation of diverse patterns in spatially extended reaction-diffusion systems is an important aspect of study which is pertinent to many chemical and biological processes. Of special interest is the peculiar phenomenon of chimera state…

Adaptation and Self-Organizing Systems · Physics 2021-06-16 Srilena Kundu , Paulsamy Muruganandam , Dibakar Ghosh , M. Lakshmanan

We study synchronization of locally coupled noisy phase oscillators which move diffusively in a one-dimensional ring. Together with the disordered and the globally synchronized states, the system also exhibits several wave-like states which…

Biological Physics · Physics 2010-09-22 Fernando Peruani , Ernesto M. Nicola , Luis G. Morelli

We consider chimera states of coupled identical phase oscillators where some oscillators are phase synchronized while others are desynchronized. It is known that chimera states of non-locally coupled Kuramoto--Sakaguchi oscillators in…

Pattern Formation and Solitons · Physics 2019-12-02 Seungjae Lee , Young Sul Cho

We investigate the collective behavior of a system of chaotic Rossler oscillators indirectly coupled through a common environment that possesses its own dynamics and which in turn is modulated by the interaction with the oscillators. By…

Chaotic Dynamics · Physics 2015-06-19 C. Quintero-Quiroz , M. G. Cosenza

Study of collective phenomenon in populations of coupled oscillators are a subject of intense exploration in physical, biological, neuronal and social systems. Here we propose a scheme for the creation of chimera states, namely the…

Chaotic Dynamics · Physics 2019-03-08 Anjuman Ara Khatun , Haider Hasan Jafri

We investigate the possibility of obtaining chimera state solutions of the non-local Complex Ginzburg-Landau Equation (NLCGLE) in the strong coupling limit when it is important to retain amplitude variations. Our numerical studies reveal…

Pattern Formation and Solitons · Physics 2015-06-15 Gautam C Sethia , Abhijit Sen , George L. Johnston
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