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arXiv:1401.5419 [math.DS]AbstractReferencesReviewsResources

Perturbations of symmetric elliptic Hamiltonians of degree four in a complex domain

Bassem Ben Hamed, Ameni Gargouri, Lubomir Gavrilov

Published 2014-01-21Version 1

The cyclicity of the exterior period annulus of the asymmetrically perturbed Duffing oscillator is a well known problem extensively studied in the literature. In the present paper we provide a complete bifurcation diagram for the number of the zeros of the associated Melnikov function in a suitable complex domain.

Comments: 11 pages, 5 figures
Categories: math.DS
Subjects: 34C07
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