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Limit Cycle Bifurcations in a Class of Cubic System near a Nilpotent Center
Department of Mathematics, Shanghai Maritime University, 1550 Haigang Avenue in New Harbor City, Shanghai 201306, PR China
- 1 Department of Mathematics, Shanghai Maritime University, 1550 Haigang Avenue in New Harbor City, Shanghai 201306, PR China
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Abstract
In this paper we deal with a cubic near-Hamiltonian system whose unperturbed system is a simple cubic Hamiltonian system having a nilpotent center. We prove that the system can have 5 limit cycles by using bifurcation theory.
KeywordsNear-Hamiltonian SystemNilpotent CenterHopf BifurcationLimit Cycle
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