Chimera states in time-varying complex networks

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Arturo BuscarinoPhilipp Hövel

Abstract

Chimera states have been recently found in a variety of different coupling schemes and geometries. In most cases, the underlying coupling structure is considered to be static, while many realistic systems display significant temporal changes in the pattern of connectivity. In this work we investigate a time-varying network made of two coupled populations of Kuramoto oscillators, where the links between the two groups are considered to vary over time. As a main result we find that the network may support stable, breathing, and alternating chimera states. We also find that, when the rate of connectivity changes is fast, compared to the oscillator dynamics, the network may be described by a low-dimensional system of equations. Unlike in the static heterogeneous case, the onset of alternating chimera states is due to the presence of fluctuations, which may be induced either by the finite size of the network or by large switching times.

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Citations

Jul 16, 2016·Physical Review Letters·Nadezhda SemenovaEckehard Schöll
Sep 15, 2016·Physical Review. E·Lucia Valentina Gambuzza, Mattia Frasca
Mar 20, 2018·Physical Review. E·Srilena KunduM Lakshmanan
Dec 30, 2017·Physical Review Letters·Zachary G NicolaouAdilson E Motter
Apr 3, 2019·Physical Review. E·Srilena KunduM Lakshmanan
Oct 24, 2019·Physical Review. E·Arturo BuscarinoLuca Patanè
Aug 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Johanne HizanidisAstero Provata
Dec 14, 2016·Scientific Reports·Soumen MajhiDibakar Ghosh
Sep 4, 2015·Chaos·Iryna OmelchenkoEckehard Schöll
Dec 3, 2016·Chaos·Arturo BuscarinoSalvatore Frisenna
Feb 13, 2016·Physical Review. E·Sarah A M LoosAnna Zakharova
Dec 3, 2016·Physica D. Nonlinear Phenomena·Per Sebastian SkardalAlex Arenas
Jul 10, 2021·Chaos·Igor A ShepelevGalina I Strelkova

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