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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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2013-21-2-20-33

Random distant couplings influence to a system with phase multistability

Autors: 
Shabunin Aleksej Vladimirovich, Saratov State University
Abstract: 

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.

Key words: 
Phase multistability
synchronization
networks
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Received: 
12.11.2012
Accepted: 
31.01.2013
Published: 
31.07.2013
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