Basins of attraction for chimera states

Chimera states-curious symmetry-broken states in systems of identical coupled oscillators-typically occur only for certain initial conditions. Here we analyze their basins of attraction in a simple system comprised of two populations. Using perturbative analysis and numerical simulation we evaluate...

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Bibliographic Details
Published in:New journal of physics 2016-02, Vol.18 (2), p.22002
Main Authors: Martens, Erik A, Panaggio, Mark J, Abrams, Daniel M
Format: Article
Language:English
Subjects:
05.45.-a
05.45.Xt
Attraction
Basins
basins of attraction
chimera states
Computer simulation
Control methods
hierarchical networks
Initial conditions
neural networks
Oscillators
Physics
Twisting
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Summary:Chimera states-curious symmetry-broken states in systems of identical coupled oscillators-typically occur only for certain initial conditions. Here we analyze their basins of attraction in a simple system comprised of two populations. Using perturbative analysis and numerical simulation we evaluate asymptotic states and associated destination maps, and demonstrate that basins form a complex twisting structure in phase space. Understanding the basins' precise nature may help in the development of control methods to switch between chimera patterns, with possible technological and neural system applications.
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/18/2/022002