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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 2018-11-30 Joydeep Singha , Neelima Gupte

We investigate the occurrence of collective dynamical states such as transient amplitude chimera, stable amplitude chimera and imperfect breathing chimera states in a \textit{locally coupled} network of Stuart-Landau oscillators. In an…

Adaptation and Self-Organizing Systems · Physics 2018-09-12 K. Premalatha , V. K. Chandrasekar , M. Senthilvelan , M. Lakshmanan

We found that a network-organized metapopulation of cooperators, defectors and destructive agents playing the public goods game with mutations, can collectively reach global synchronization or chimera states. Global synchronization is…

Adaptation and Self-Organizing Systems · Physics 2016-12-09 Nikos E. Kouvaris , Ruben J. Requejo , Johanne Hizanidis , Albert Diaz-Guilera

We establish the existence of chimera states, simultaneously supporting synchronous and asynchronous dynamics, in a network consisting of two symmetrically linked star subnetworks consisting of identical oscillators with shear and…

Dynamical Systems · Mathematics 2021-08-11 Jaap Eldering , Jeroen S. W. Lamb , Tiago Pereira , Edmilson Roque dos Santos

In this work we present a method to control chimera states through linear augmentation. Using an ensemble of globally coupled oscillators, we demonstrate that control over the spatial location of the incoherent or coherent regions of a…

Chaotic Dynamics · Physics 2019-11-12 Anjuman Ara Khatun , Haider Hasan Jafri

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

Understanding and controlling the mechanisms behind synchronization phenomena is of paramount importance in nonlinear science. In particular, the emergence of chimera states, patterns in which order and disorder coexist simultaneously,…

Pattern Formation and Solitons · Physics 2025-10-22 Riccardo Muolo , Lucia Valentina Gambuzza , Hiroya Nakao , Mattia Frasca

In globally coupled ensembles of identical oscillators so-called chimera states can be observed. The chimera state is a symmetry-broken regime, where a subset of oscillators forms a cluster, a synchronized population, while the rest of the…

Chaotic Dynamics · Physics 2019-07-16 Richard Janis Goldschmidt , Arkady Pikovsky , Antonio Politi

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

About two decades ago it was discovered that systems of nonlocally coupled oscillators can exhibit unusual symmetry-breaking patterns composed of coherent and incoherent regions. Since then such patterns, called chimera states, have been…

Adaptation and Self-Organizing Systems · Physics 2022-01-11 Oleh Omel'chenko

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

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 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

The notion of a weak chimeras provides a tractable definition for chimera states in networks of finitely many phase oscillators. Here we generalize the definition of a weak chimera to a more general class of equivariant dynamical systems by…

Dynamical Systems · Mathematics 2017-03-01 Christian Bick

Spatial coexistence of coherent and incoherent dynamics in network of coupled oscillators is called a chimera state. We study such chimera states in a network of neurons without any direct interactions but connected through another medium…

Chaotic Dynamics · Physics 2016-12-14 Soumen Majhi , Matjaz Perc , Dibakar Ghosh

When identical oscillators are coupled together in a network, dynamical steady states are often assumed to reflect network symmetries. Here we show that alternative persistent states may also exist that break the symmetries of the…

Adaptation and Self-Organizing Systems · Physics 2016-05-10 Xin Jiang , Daniel M. Abrams

Chimera states are complex spatiotemporal patterns in networks of identical oscillators, characterized by the coexistence of synchronized and desynchronized dynamics. Here we propose to extend the phenomenon of chimera states to the quantum…

Quantum Physics · Physics 2016-01-12 V. M. Bastidas , I. Omelchenko , A. Zakharova , E. Schöll , T. Brandes

The phenomenon of amplitude death has been explored using a variety of different coupling strategies in the last two decades. In most of the work, the basic coupling arrangement is considered to be static over time, although many realistic…

Chaotic Dynamics · Physics 2017-08-02 Soumen Majhi , Dibakar Ghosh

Methods that distinguish dynamical regimes in networks of active elements make it possible to design the dynamics of models of realistic networks. A particularly salient example is partial synchronization, which may play a pivotal role in…

Adaptation and Self-Organizing Systems · Physics 2023-11-30 Olesia Dogonasheva , Daniil Radushev , Boris Gutkin , Denis Zakharov

Experimental observations of time delay induced amplitude death in a pair of coupled nonlinear electronic circuits that are individually capable of exhibiting limit cycle oscillations are described. In particular, the existence of multiply…

Chaotic Dynamics · Physics 2009-10-31 D. V. Ramana Reddy , A. Sen , G. L. Johnston