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

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Shabunin A. V. Multistability in dynamical small world networks. Izvestiya VUZ. Applied Nonlinear Dynamics, 2014, vol. 22, iss. 3, pp. 63-76. DOI: 10.18500/0869-6632-2014-22-3-63-76

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Language: 
Russian
Heading: 
Autowaves. Self-organization
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2014-22-3-63-76

Multistability in dynamical small world networks

Autors: 
Shabunin Aleksej Vladimirovich, Saratov State University
Abstract: 

We explore phase multistability which takes place in an ensemble of periodic oscillators under the action of long-distance couplings, which appear randomly between the arbitrary cells. The  system under study is Kuromoto’s model with additional dynamical interconnections between phase oscillators. The sequence of bifurcations, which accompany increasing of the strength of the global coupling is determined. Regions of multistability existance are defined.

Key words: 
Distributed systems
oscillations
synchronization
multistability
«small world» models
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Received: 
11.03.2014
Accepted: 
12.05.2014
Published: 
31.10.2014
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