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

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Kulikov D. A. Automodel periodic solutions and bifurcations from them in the problem of the interaction of two weakly coupled oscillators. Izvestiya VUZ. Applied Nonlinear Dynamics, 2006, vol. 14, iss. 5, pp. 120-132. DOI: 10.18500/0869-6632-2006-14-5-120-132

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Language: 
Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2006-14-5-120-132

Automodel periodic solutions and bifurcations from them in the problem of the interaction of two weakly coupled oscillators

Autors: 
Kulikov Dmitrij Anatolevich, P. G. Demidov Yaroslavl State University
Abstract: 

The problem of the interaction of two identical weakly coupled van der Pol – Duffing oscillations has been considered. The method of Poincare – Dulak normal forms has been used for its solution. All automodel periodic solutions have been found analytically. The problem of local bifurcations of these periodic solutions has been studied.

Key words: 
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Reference: 
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Received: 
22.05.2006
Accepted: 
23.07.2006
Published: 
30.11.2006
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