English
Related papers

Related papers: Chimera states in small disordered optomechanical …

200 papers

Collective behavior among coupled dynamical units can emerge in various forms as a result of different coupling topologies as well as different types of coupling functions. Chimera states have recently received ample attention as a…

Adaptation and Self-Organizing Systems · Physics 2017-05-24 Bidesh K. Bera , Soumen Majhi , Dibakar Ghosh , Matjaz Perc

We demonstrate that chimera behavior can be observed in ensembles of phase oscillators with unidirectional coupling. For a small network consisting of only three identical oscillators (cyclic triple), tiny {\it chimera islands} arise in the…

Chaotic Dynamics · Physics 2021-10-27 Patrycja Jaros , Roman Levchenko , Tomasz Kapitaniak , Yuri Maistrenko

Chimera states, namely complex spatiotemporal patterns that consist of coexisting domains of spatially coherent and incoherent dynamics, are investigated in a network of coupled identical oscillators. These intriguing spatiotemporal…

Chaotic Dynamics · Physics 2017-05-29 Sarbendu Rakshit , Bidesh K. Bera , Matjaz Perc , Dibakar Ghosh

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

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 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

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

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 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

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

The question under which conditions oscillators with slightly different frequencies synchronize appears in various settings. We show that synchronization can be achieved even for harmonic oscillators that are bilinearly coupled via a purely…

Chaotic Dynamics · Physics 2023-02-01 Juan N. Moreno , Christopher W. Wächtler , Alexander Eisfeld

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

A complex collective emerging behavior characterized by coexisting coherent and incoherent do- mains is termed as a chimera state. We bring out the existence of a new type of chimera in a nonlocally coupled ensemble of identical oscillators…

Chaotic Dynamics · Physics 2017-12-13 R. Gopal , V. K. Chandrasekar , D. V. Senthilkumar , A. Venkatesan , M. Lakshmanan

Chimera states are complex spatio-temporal patterns in which domains of synchronous and asynchronous dynamics coexist in coupled systems of oscillators. We examine how the character of the individual elements influences chimera states by…

Adaptation and Self-Organizing Systems · Physics 2015-09-02 Iryna Omelchenko , Anna Zakharova , Philipp Hoevel , Julien Siebert , Eckehard Schoell

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

We investigate the emergence of different kinds of imperfect synchronized states and chimera states in two interacting populations of nonlocally coupled Stuart-Landau oscillators. We find that the complete synchronization in population-I…

Adaptation and Self-Organizing Systems · Physics 2016-08-24 K. Premalatha , V. K. Chandrasekar , M. Senthilvelan , M. Lakshmanan

We have developed a simple cellular automata model for nonlinearly coupled phase oscillators which can exhibit many important collective dynamical states found in other synchronizing systems. The state of our system is specified by a set of…

Adaptation and Self-Organizing Systems · Physics 2017-06-29 Amitava Banerjee , Muktish Acharyya

We report the existence of a chimera state in an assembly of identical nonlinear oscillators that are globally linked to each other in a simple planar cross-coupled form. The rotational symmetry breaking of the coupling term appears to be…

Chaotic Dynamics · Physics 2015-06-22 C. R. Hens , A. Mishra , P. K. Roy , A. Sen , S. K. Dana

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

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