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Title: 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 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.
Authors:
 [1]
  1. Radiophysics and Nonlinear Dynamics Department, Saratov State University, Saratov (Russian Federation)
Publication Date:
OSTI Identifier:
22402524
Resource Type:
Journal Article
Resource Relation:
Journal Name: Chaos (Woodbury, N. Y.); Journal Volume: 25; Journal Issue: 1; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COUPLINGS; DYNAMICS; FLUCTUATIONS; MATHEMATICAL EVOLUTION; NETWORK ANALYSIS; OSCILLATORS; PERIODICITY; PHASE STABILITY; RANDOMNESS; RINGS; STOCHASTIC PROCESSES