Chimera states in time-varying complex networks

Arturo Buscarino, Mattia Frasca, Lucia Valentina Gambuzza, and Philipp Hövel
Phys. Rev. E 91, 022817 – Published 26 February 2015

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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  • Received 19 December 2014

DOI:https://doi.org/10.1103/PhysRevE.91.022817

©2015 American Physical Society

Authors & Affiliations

Arturo Buscarino1, Mattia Frasca1,*, Lucia Valentina Gambuzza1, and Philipp Hövel2,3

  • 1DIEEI, Università degli Studi di Catania, Catania, Italy
  • 2Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany
  • 3Bernstein Center for Computational Neuroscience Berlin, Humboldt-Universität zu Berlin, Philippstraße 13, 10115 Berlin, Germany

  • *Corresponding author: mfrasca@diees.unict.it

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Vol. 91, Iss. 2 — February 2015

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