A CLASS OF QUADRATIC HAMILTONIAN SYSTEMS UNDER QUADRATIC PERTURBATION

数学物理学报(英文版) ›› 2001, Vol. 21 ›› Issue (2): 249-253.

A CLASS OF QUADRATIC HAMILTONIAN SYSTEMS UNDER QUADRATIC PERTURBATION

丰建文, 陈士华

Department of Mathematics, Wuhan University, Wuhan 430072, China

出版日期:2001-04-07 发布日期:2001-04-07
基金资助:
This work is supported by NNSF of China.

A CLASS OF QUADRATIC HAMILTONIAN SYSTEMS UNDER QUADRATIC PERTURBATION

FENG Jian-Wen, CHEN Shi-Hua

Department of Mathematics, Wuhan University, Wuhan 430072, China

Online:2001-04-07 Published:2001-04-07
Supported by:
This work is supported by NNSF of China.

摘要/Abstract

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.

关键词: Melnikov function, Hamiltonian system, Center

Abstract:

Key words: Melnikov function, Hamiltonian system, Center

中图分类号:

丰建文, 陈士华. A CLASS OF QUADRATIC HAMILTONIAN SYSTEMS UNDER QUADRATIC PERTURBATION[J]. 数学物理学报(英文版), 2001, 21(2): 249-253.

FENG Jian-Wen, CHEN Shi-Hua. A CLASS OF QUADRATIC HAMILTONIAN SYSTEMS UNDER QUADRATIC PERTURBATION[J]. Acta mathematica scientia,Series B, 2001, 21(2): 249-253.

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A CLASS OF QUADRATIC HAMILTONIAN SYSTEMS UNDER QUADRATIC PERTURBATION

A CLASS OF QUADRATIC HAMILTONIAN SYSTEMS UNDER QUADRATIC PERTURBATION

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