On a~family of Hamiltonian cubic planar differential systems

Gheorghe Tigan

Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2006), pp. 75-86.

Résumé

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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