数学物理学报(英文版) ›› 2001, Vol. 21 ›› Issue (2): 249-253.
丰建文, 陈士华
FENG Jian-Wen, CHEN Shi-Hua
摘要:
This paper deals with a class of quadratic Hamiltonian systems with quadratic perturbation. We prove that if the first order Melnikov function M1(h) 0 and the second order Melnikov function M2(h) 0, then the origin of the Hamiltonian system with small perturbation is a center.
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