Blinking chimeras in globally coupled rotators

Richard Janis Goldschmidt; Arkady Pikovsky; Antonio Politi

doi:10.1063/1.5105367

Blinking chimeras in globally coupled rotators

Richard Janis Goldschmidt, Arkady Pikovsky, Antonio Politi

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Abstract

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 system remains a collection of nonsynchronized, scattered units. We describe here a blinking chimera regime in an ensemble of seven globally coupled rotators (Kuramoto oscillators with inertia). It is characterized by a death-birth process, where a long-term stable cluster of four oscillators suddenly dissolves and is very quickly reborn with a new reshuffled configuration. We identify three different kinds of rare blinking events and give a quantitative characterization by applying stability analysis to the long-lived chaotic state and to the short-lived regular regimes that arise when the cluster dissolves.

Original language	English
Article number	071101
Number of pages	7
Journal	Chaos
Volume	29
Issue number	7
Early online date	2 Jul 2019
DOIs	https://doi.org/10.1063/1.5105367
Publication status	Published - Jul 2019

Bibliographical note

We thank M. Rosenblum and Yu. Maistrenko for useful discussions. This work has been funded by the EU’s Horizon 2020 Research and Innovation Programme under the Marie Sklodowska Curie Grant Agreement No. 642563. A. Pikovsky acknowledges support of the Russian Science Foundation (Grant No. 17-12-01534).

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This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Chaos: An Interdisciplinary Journal of Nonlinear Science 29:7 and may be found at https://doi.org/10.1063/1.5105367.
Accepted author manuscript, 1.15 MBLicence: Unspecified
Blinking chimeras in globally coupled rotators
This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Goldschmidt, RJ, Pikovsky, A & Politi, A. Chaos, vol. 29, no. 7, 071101, and may be found at https://doi.org/10.1063/1.5105367.
Final published version, 1.41 MBLicence: Unspecified

https://arxiv.org/abs/1907.06201v1Licence: Unspecified

Cite this

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abstract = "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 system remains a collection of nonsynchronized, scattered units. We describe here a blinking chimera regime in an ensemble of seven globally coupled rotators (Kuramoto oscillators with inertia). It is characterized by a death-birth process, where a long-term stable cluster of four oscillators suddenly dissolves and is very quickly reborn with a new reshuffled configuration. We identify three different kinds of rare blinking events and give a quantitative characterization by applying stability analysis to the long-lived chaotic state and to the short-lived regular regimes that arise when the cluster dissolves.",

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AB - 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 system remains a collection of nonsynchronized, scattered units. We describe here a blinking chimera regime in an ensemble of seven globally coupled rotators (Kuramoto oscillators with inertia). It is characterized by a death-birth process, where a long-term stable cluster of four oscillators suddenly dissolves and is very quickly reborn with a new reshuffled configuration. We identify three different kinds of rare blinking events and give a quantitative characterization by applying stability analysis to the long-lived chaotic state and to the short-lived regular regimes that arise when the cluster dissolves.

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Blinking chimeras in globally coupled rotators

Abstract

Bibliographical note

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