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Related papers: The smallest chimera states

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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 propose a robust universal approach to identify multiple dynamical states, including stationary and travelling chimera states based on an adaptive coherence measure. Our approach allows automatic disambiguation of synchronized clusters,…

Adaptation and Self-Organizing Systems · Physics 2021-11-24 Olesia Dogonasheva , Dmitry Kasatkin , Boris Gutkin , Denis Zakharov

The emergence and nature of amplitude mediated chimera states, spatio-temporal patterns of co-existing coherent and incoherent regions, are investigated for a globally coupled system of active and inactive Ginzburg-Landau oscillators. The…

Chaotic Dynamics · Physics 2019-01-25 Rupak Mukherjee , Abhijit Sen

We consider a social-type network of coupled phase oscillators. Such a network consists of an active core of mutually interacting elements, and of a flock of passive units, which follow the driving from the active elements, but otherwise…

Pattern Formation and Solitons · Physics 2020-11-04 Arkady Pikovsky

We report the diversity of scroll wave chimeras in the three-dimensional (3D) Kuramoto model with inertia for N^{3} identical phase oscillators placed in a unit 3D cube with periodic boundary conditions. In the considered model with…

Chaotic Dynamics · Physics 2020-06-24 V. Maistrenko , O. Sudakov , O. Osiv

Solitary states emerge in oscillator networks when one oscillator separates from the fully synchronized cluster and becomes incoherent with the rest of the network. Such chimera-type patterns with an incoherent state formed by a single…

Pattern Formation and Solitons · Physics 2022-03-02 V. O. Munyaev , M. I. Bolotov , L. A. Smirnov , G. V. Osipov , I. V. Belykh

We report the occurrence of a self-emerging frequency chimera state in spatially extended systems of coupled oscillators, where the coherence and incoherence are defined with respect to the emergent frequency of the oscillations. This is…

Adaptation and Self-Organizing Systems · Physics 2021-12-28 Sneha Kachhara , G. Ambika

We study networks of non-locally coupled electronic oscillators that can be described approximately by a Kuramoto-like model. The experimental networks show long complex transients from random initial conditions on the route to network…

Adaptation and Self-Organizing Systems · Physics 2014-10-03 David P. Rosin , Damien Rontani , Nicholas D. Haynes , Eckehard Schöll , Daniel J. Gauthier

We investigate the emergence of amplitude and frequency chimera states in ring-star networks consisting of identical Chua circuits connected via nonlocal diffusive, bidirectional coupling. We first identify single-well chimera patterns in a…

Adaptation and Self-Organizing Systems · Physics 2020-08-06 S. S. Muni , A. Provata

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 report the appearance and the metamorphoses of spiral wave chimera states in coupled phase oscillators with inertia. First, when the coupling strength is small enough, the system behavior resembles classical two-dimensional (2D)…

Adaptation and Self-Organizing Systems · Physics 2020-10-28 Volodymyr Maistrenko , Oleksandr Sudakov , Yuri Maistrenko

We study the dynamics of mobile, locally coupled identical oscillators in the presence of coupling delays. We find different kinds of chimera states, in which coherent in-phase and anti-phase domains coexist with incoherent domains. These…

Adaptation and Self-Organizing Systems · Physics 2018-01-29 Gabriela Petrungaro , Koichiro Uriu , Luis G. Morelli

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 study a theoretical model of closed quasi-hermitian chain of spins which exhibits quantum analogues of chimera states, i.e. long life classical states for which a part of an oscillator chain presents an ordered dynamics whereas another…

Quantum Physics · Physics 2016-01-08 David Viennot , Lucile Aubourg

Chimera states---curious symmetry-broken states in systems of identical coupled oscillators---typically occur only for certain initial conditions. Here we analyze their basins of attraction in a simple system comprised of two populations.…

Pattern Formation and Solitons · Physics 2023-08-15 Erik A. Martens , Mark J. Panaggio , Daniel M. Abrams

We study numerically synchronization phenomena of spatiotemporal structures, including chimera states, in a two layer network of nonlocally coupled nonlinear chaotic discrete-time systems. Each of the interacting ensembles represents a one…

Adaptation and Self-Organizing Systems · Physics 2018-02-09 Andrei V. Bukh , Galina I. Strelkova , Vadim S. Anishchenko

By developing the concepts of strength of incoherence and discontinuity measure, we show that a distinct quantitative characterization of chimera and multichimera states which occur in networks of coupled nonlinear dynamical systems…

Chaotic Dynamics · Physics 2015-06-19 R. Gopal , V. K. Chandrasekar , A. Venkatesan , M. Lakshmanan

Chimera states---the coexistence of synchrony and asynchrony in a nonlocally-coupled network of identical oscillators---are often used as a model framework for epileptic seizures. Here, we explore the dynamics of chimera states in a network…

Neurons and Cognition · Quantitative Biology 2020-12-02 Henry M. Mitchell , Peter Sheridan Dodds , J. Matthew Mahoney , Christopher M. Danforth

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

A dynamics of a low-dimensional ensemble consisting of connected in a network five discrete phase oscillators is considered. A two-parameter synchronization picture which appears instead of the Arnold tongues with an increase of the system…

Chaotic Dynamics · Physics 2014-02-27 Alexander P. Kuznetsov , Yuliya V. Sedova