Journal
NONLINEAR DYNAMICS
Volume 90, Issue 4, Pages 2317-2330Publisher
SPRINGER
DOI: 10.1007/s11071-017-3805-6
Keywords
Ensemble of oscillators; Spatial structure; Chimera; Dynamical chaos; Nonlocal coupling; FitzHugh-Nagumo oscillator
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Funding
- Russian Science Foundation [16-12-10175]
- [SFB910]
- Russian Science Foundation [16-12-10175] Funding Source: Russian Science Foundation
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We consider ensembles of bistable elements with nonlocal interaction. It is shown that the bistability of units in the case of nonlocal interaction leads to the formation of chimera structures of a special type, which we have called double-well chimeras. Their distinctive feature consists in the formation of incoherence clusters with an irregular distribution of elements between two attractive sets existing in an individual element (two potential wells). Ensembles of different bistable units are considered, namely ensembles of cubic maps, FitzHugh-Nagumo oscillators in the regime of two stable equilibrium points and Chua's circuits. The spatiotemporal behavior of the ensembles is studied in the cases of regular and chaotic dynamics in time, and different types of chimera structures are revealed.
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