ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Shabunin A. V. Random distant couplings influence to a system with phase multistability. Izvestiya VUZ. Applied Nonlinear Dynamics, 2013, vol. 21, iss. 2, pp. 20-33. DOI: 10.18500/0869-6632-2013-21-2-20-33

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Random distant couplings influence to a system with phase multistability

Shabunin Aleksej Vladimirovich, Saratov State University

We explore the destruction of phase multistability which takes place in an ensemble of period doubling oscillators under the action of long-distance couplings, which appear randomly between the arbitrary cells. The investigation is carried out on the example of a chain of Rossler’s oscillators with periodic boundary conditions, where alongside with local couplings between the elements exist long-range interconnections. The sequence of bifurcations, which accompany increasing of the strength of the global coupling is determined.

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