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IMI/Publicaţii/BASM/Ediţii/BASM n.2 (51), 2006/

On a family of Hamiltonian cubic planar differential systems.

Authors: Gheorghe Tigan

Abstract

A class of planar perturbed Hamiltonian systems are studied in the present work in order to identify the limit cycles. The closed curves of the unperturbed associated Hamiltonian system are described. Using the Abelian integral method we find the detection functions. Numerical explorations are presented to illustrate the distribution of the limit cycles.

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