On a family of Hamiltonian cubic planar differential systems
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TIGAN, Gheorghe. On a family of Hamiltonian cubic planar differential systems. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2006, nr. 2(51), pp. 75-86. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2(51) / 2006 / ISSN 1024-7696 /ISSNe 2587-4322

On a family of Hamiltonian cubic planar differential systems

Pag. 75-86

Tigan Gheorghe
 
Politehnica University of Timisoara
 
 
Disponibil în IBN: 18 decembrie 2015


Rezumat

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..

Cuvinte-cheie
Hamiltonian systems, Abelian integral.,

limit cycles