Does hyperbolicity impede emergence of chimera states in networks of nonlocally coupled chaotic oscillators?

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,...

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Bibliographic Details
Published in:Europhysics letters 2015-11, Vol.112 (4), p.40002-p1-40002-p6
Main Authors: Semenova, N., Zakharova, A., Schöll, E., Anishchenko, V.
Format: Article
Language:English
Subjects:
05.45.-a
05.45.Xt
Chaos theory
Dynamic tests
Dynamical systems
Dynamics
Joining
Lorenz system
Mathematical analysis
Networks
Oscillators
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Summary: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 oscillators with nonhyperbolic chaotic attractors and cannot be found in networks of systems with hyperbolic chaotic attractors. This hypothesis is supported by analytical results and numerical simulations for hyperbolic and nonhyperbolic cases.
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/112/40002