Hyperbolicity impedes emergence of chimera states in networks of nonlocally coupled chaotic oscillators

2015/09/18 by Nadezhda Semenova, Anna Zakharova, Eckehard Schöll +1 · 1 citation
Physics and Astronomy · #nlin.AO

paper · pdf · doi:10.1209/0295-5075/112/40002

arxiv created 2015/09/18 · arxiv updated 2016/01/20

Abstract

We analyze nonlocally coupled networks of identical chaotic oscillators with either time-discrete or time-continuous dynamics (Henon map, Lozi map, Lorenz system). We hypothesize that chimera states, in which spatial domains of coherent (synchronous) and incoherent (desynchronized) dynamics coexist, can be obtained only in networks of nonhyperbolic chaotic systems and cannot be found in networks of hyperbolic systems. This hypothesis is supported by analytical results and numerical simulations for hyperbolic and nonhyperbolic cases.

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• Classification of Chimera States via Fourier Analysis and Unsupervised Learning

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