Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2006, Number 2, Pages 75–86 (Mi basm99)  
On a family of Hamiltonian cubic planar differential systems

Gheorghe Tigan

Department of Mathematics, Politehnica University of Timisoara, Timisoara, Timis, Romania
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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.
Keywords and phrases: Hamiltonian systems, limit cycles, Abelian integral.
Received: 16.03.2006
Bibliographic databases:
MSC: 34C07, 37G15
Language: English
Citation: Gheorghe Tigan, “On a family of Hamiltonian cubic planar differential systems”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2006, no. 2, 75–86
Citation in format AMSBIB
\Bibitem{Tig06}
\by Gheorghe~Tigan
\paper On a~family of Hamiltonian cubic planar differential systems
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2006
\issue 2
\pages 75--86
\mathnet{http://mi.mathnet.ru/basm99}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2279091}
\zmath{https://zbmath.org/?q=an:1116.34028}
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