J. Guckenheimer and P. Holmes, “Non-Linear Oscillations, Dynamical Systems and Bifurcation of Vector Fields,” Springer-Verlag, New York, 1983.
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.