For citation:
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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Russian
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Article
UDC:
517.9
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.
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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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