Author(s)

Jiao Jiang

Department of Mathematics, Shanghai Maritime University, 1550 Haigang Avenue in New Harbor City, Shanghai 201306, PR China.

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.

Near-Hamiltonian System; Nilpotent Center; Hopf Bifurcation; Limit Cycle

J. Jiang, "Limit Cycle Bifurcations in a Class of Cubic System near a Nilpotent Center," Applied Mathematics, Vol. 3 No. 7, 2012, pp. 772-777. doi: 10.4236/am.2012.37115.