Blinking chimeras in globally coupled rotators

Richard Janis Goldschmidt, Arkady Pikovsky, Antonio Politi

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13 Citations (Scopus)
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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 languageEnglish
Article number071101
Number of pages7
Issue number7
Early online date2 Jul 2019
Publication statusPublished - 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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