深圳大学学报（理工版）2005，Vol.22Issue(4)：292-296,5.
关于Kukles 系统弱问题
The weak problem for the Kukles system
摘要
Abstract
This study concerned the weak problem for the Kukles system. The expressions of the first four order Melnikov functions of the Kukles system were specified. Results prove that if the first four Melnikov functions Mj(h)≡0 (j=1,2,3,4), then Mk(h)≡0 for any k≥5 and the origin of the Kukles system is a centre. It is also shown that the lowest upper bound for the number of limit cycles for the perturbed system is equal to 3.The conditions of the realization of the lowest upper bound are given.关键词
分岔函数/扰动/极限环/哈密顿函数Key words
Melnikov function/Perturbation/limit cycle/Hamiltonian system分类
数理科学引用本文复制引用
丰建文,徐晨..关于Kukles 系统弱问题[J].深圳大学学报（理工版）,2005,22(4):292-296,5.基金项目
深圳大学科研启动基金资助项目(200551) （200551）
