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

For citation:

Shabunin A. V., Astakhov V. V. Phase multistability in an array of period-doubling self­sustained oscillators. Izvestiya VUZ. Applied Nonlinear Dynamics, 2009, vol. 17, iss. 6, pp. 99-118. DOI: 10.18500/0869-6632-2009-17-6-99-118

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Language: 
Russian
Heading: 
Deterministic Chaos
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2009-17-6-99-118

Phase multistability in an array of period-doubling self­sustained oscillators

Autors: 
Shabunin Aleksej Vladimirovich, Saratov State University
Astakhov Vladimir Vladimirovich, Yuri Gagarin State Technical University of Saratov
Abstract: 

Regularities of multistability developments are considered in an array of identical self-sustained oscillators with transition to chaos through period-doubling bifurcations. The used model is chain of diffusivelly coupled Rossler oscillators. The number of coexisting regimes are determined through the cascade of the bifurcations. It is shown that regularities of incresing of attractors are defined be transformation of the phase spectrum duing transition to chaos.

Key words: 
multistability
self-sustained oscillations
chaos
Reference: 
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Received: 
30.03.2009
Accepted: 
18.05.2009
Published: 
31.12.2009
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