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 languageEnglish
Article number071101
Number of pages7
JournalChaos
Volume29
Issue number7
Early online date2 Jul 2019
DOIs
Publication statusPublished - Jul 2019

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