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Title of Article

ON LIMIT CYCLES IN THE ASYMMETRIC DUFFING-VAN-DER-POL EQUATION


Issue
1
Date
2012

Article type
scientific article
UDC
517.9:534.1
Pages
115-121
Keywords
limit cycles, bifurcations


Authors
Kostromina Olga Sergeevna
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo

Morozov Albert Dmitrievich
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo


Abstract
Asymmetric two-parametrical perturbations of the Duffing equation having three cells with closed trajectories are considered. Using the analysis of Poincare-Pontryagin generating functions, the problem of limiting cycles has been solved. The parameter plane has been partitioned into regions with different topological structures.

File (in Russian)