Article ID Journal Published Year Pages File Type
841260 Nonlinear Analysis: Theory, Methods & Applications 2009 19 Pages PDF
Abstract

This paper presents a study on the number of limit cycles of a Z3Z3-equivariant near-Hamiltonian system of degree 5 which is a perturbation of a cubic Hamiltonian system. By using the Melnikov method, we obtain 15 limit cycles. With degrees 3 and 4, we respectively get 4 and 10 limit cycles.

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Physical Sciences and Engineering Engineering Engineering (General)
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Limit cycles of a Z3Z3-equivariant near-Hamiltonian system
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