Limit Cycle Bifurcations in a Class of Cubic System near a Nilpotent Center


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.

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Jiang, J. (2012) Limit Cycle Bifurcations in a Class of Cubic System near a Nilpotent Center. Applied Mathematics, 3, 772-777. doi: 10.4236/am.2012.37115.

Conflicts of Interest

The authors declare no conflicts of interest.


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