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Related papers: Chimera States in a Two-Population Network of Coup…

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Chimera states -- named after the mythical beast with a lion's head, a goat's body, and a dragon's tail -- correspond to spatiotemporal patterns characterised by the coexistence of coherent and incoherent domains in coupled systems. They…

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

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

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

The coexistence of coherently and incoherently oscillating parts in a system of identical oscillators with symmetrical coupling, i.e., a chimera state, is even observable with uniform global coupling. We address the question of the…

Chaotic Dynamics · Physics 2015-02-23 Lennart Schmidt , Katharina Krischer

Chimera states are complex spatiotemporal patterns consisting of coexisting domains of coherence and incoherence. We study networks of nonlocally coupled logistic maps and analyze systematically how the dilution of the network links…

Adaptation and Self-Organizing Systems · Physics 2018-05-09 Alexander zur Bonsen , Iryna Omelchenko , Anna Zakharova , Eckehard Schöll

We investigated interactions within chimera states in a phase oscillator network with two coupled subpopulations. To quantify interactions within and between these subpopulations, we estimated the corresponding (delayed) mutual information…

Adaptation and Self-Organizing Systems · Physics 2019-07-09 Nicolás Deschle , Andreas Daffertshofer , Demian Battaglia , Erik A. Martens

We report the emergence of stable amplitude chimeras and chimera death in a two-layer network where one layer has an ensemble of identical nonlinear oscillators interacting directly through local coupling and indirectly through dynamic…

Adaptation and Self-Organizing Systems · Physics 2020-06-15 Umesh Kumar Verma , G. Ambika

Networks of coupled phase oscillators are one of the most studied dynamical systems with numerous applications in physics, chemistry, biology, and engineering. Their behaviour is often characterized by the emergence of various partially…

Pattern Formation and Solitons · Physics 2026-02-27 Oleh E. Omel'chenko

We investigate the interplay between phase lag and adaptive learning rules in a network of identical pendulum oscillators, where the coupling strengths evolve dynamically in response to the oscillators' states. Specifically, we examine two…

Adaptation and Self-Organizing Systems · Physics 2026-03-12 R. Anand , V. K. Chandrasekar , R. Suresh

We present a control scheme that is able to find and stabilize an unstable chaotic regime in a system with a large number of interacting particles. This allows us to track a high dimensional chaotic attractor through a bifurcation where it…

Dynamical Systems · Mathematics 2014-06-30 Jan Sieber , Oleh Omel'chenko , Matthias Wolfrum

We report the emergence of coexisting synchronous and asynchronous subpopulations of oscillators in one dimensional arrays of identical oscillators by applying a self-feedback control. When a self-feedback is applied to a subpopulation of…

Chaotic Dynamics · Physics 2017-08-02 Bidesh K. Bera , Dibakar Ghosh , Punit Parmananda , G. V. Osipov , Syamal K. Dana

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 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

By characterizing the phase dynamics in coupled oscillators, we gain insights into the fundamental phenomena of complex systems. The collective dynamics in oscillatory systems are often described by order parameters, which are insufficient…

Data Analysis, Statistics and Probability · Physics 2021-03-24 Kazuha Itabashi , Quoc Hoan Tran , Yoshihiko Hasegawa

We study an oscillatory medium with a nonlinear global coupling that gives rise to a harmonic mean-field oscillation with constant amplitude and frequency. Two types of cluster states are found, each undergoing a symmetry-breaking…

Pattern Formation and Solitons · Physics 2015-06-11 Lennart Schmidt , Katharina Krischer

The chimera state with co-existing coherent-incoherent dynamics has recently attracted a lot of attention due to its wide applicability. We investigate non-locally coupled identical chaotic maps with delayed interactions in the multiplex…

Chaotic Dynamics · Physics 2017-04-19 Saptarshi Ghosh , Anil Kumar , Anna Zakharova , Sarika Jalan

We present results obtained for a network of four delay-coupled lasers modelled by Lang-Kobayashi-type equations. We find small chimera states consisting of a pair of synchronized lasers and two unsynchronized lasers. One class of these…

Adaptation and Self-Organizing Systems · Physics 2021-08-09 André Röhm , Fabian Böhm , Kathy Lüdge

We study the stable spatiotemporal patterns that arise in a 3D network of neuron oscillators, whose dynamics is described by the Leaky Integrate-and-Fire (LIF) model. More specifically, we investigate the form of the chimera states induced…

Disordered Systems and Neural Networks · Physics 2018-05-30 T. Kasimatis , J. Hizanidis , A. Provata

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