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Article overview
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On periodic perturbations of asymmetric Duffing-Van-der-Pol equation | Albert D. Morozov
; Olga S. Kostromina
; | Date: |
2 Dec 2014 | Abstract: | Time-periodic perturbations of an asymmetric Duffing-Van-der-Pol equation
close to an integrable equation with a homoclinic "figure-eight" of a saddle
are considered. The behavior of solutions outside the neighborhood of
"figure-eight" is studied analytically. The problem of limit cycles for an
autonomous equation is solved and resonance zones for a nonautonomous equation
are analyzed. The behavior of the separatrices of a fixed saddle point of the
Poincare map in the small neighborhood of the unperturbed "figure-eight" is
ascertained. The results obtained are illustrated by numerical computations. | Source: | arXiv, 1412.1126 | Services: | Forum | Review | PDF | Favorites |
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