Phase multistability in a dynamical small world network

The effect of phase multistability is explored in a small world network of periodic oscillators with diffusive couplings. The structure of the network represents a ring with additional non-local links, which spontaneously arise and vanish between arbitrary nodes. The dynamics of random couplings is...

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 2015-01, Vol.25 (1), p.013109-013109
Main Author: Shabunin, A V
Format: Article
Language:English
Subjects:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
COUPLINGS
DYNAMICS
FLUCTUATIONS
MATHEMATICAL EVOLUTION
NETWORK ANALYSIS
OSCILLATORS
PERIODICITY
PHASE STABILITY
RANDOMNESS
RINGS
STOCHASTIC PROCESSES
Variations
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Summary:The effect of phase multistability is explored in a small world network of periodic oscillators with diffusive couplings. The structure of the network represents a ring with additional non-local links, which spontaneously arise and vanish between arbitrary nodes. The dynamics of random couplings is modeled by "birth" and "death" stochastic processes by means of the cellular automate approach. The evolution of the network under gradual increasing of the number of random couplings goes through stages of phases fluctuations and spatial cluster formation. Finally, in the presence of non-local couplings the phase multistability "dies" and only the in-phase regime survives.
ISSN:1054-1500
1089-7682
DOI:10.1063/1.4905667