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M. Han J. Jiang and H. Zhu, “Limit Cycle Bifurcations in Near-Hamiltonian Systems by Perturbing a Nilpotent Center,” International Journal of Bifurcation and Chaos, Vol. 18, No. 10, 2008, pp. 3013-3027. doi:10.1142/S0218127408022226

has been cited by the following article:

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

  AUTHORS: Jiao Jiang

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

  JOURNAL NAME: Applied Mathematics, Vol.3 No.7, June 19, 2012

  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.