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The number of limit cycles of cubic Hamiltonian system with perturbation

โœ Scribed by Cheng-qiang Wu; Yonghui Xia


Book ID
108225955
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
179 KB
Volume
7
Category
Article
ISSN
1468-1218

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This paper is concerned with degree n polynomial perturbations of a class of planar non-Hamiltonian reversible quadratic integrable system whose almost all orbits are cubics. We give an estimate of the number of limit cycles for such a system. If the first-order Melnikov function (Abelian integral)