摘要
讨论了Melnikov轨道在相空间中的分布情况和稳定性性质,指出Melnikov轨道分布的不连续性,并说明在周期力足够小时,所有Melnikov轨道实际上都不稳定。
The distribution of the Melnikov orbits and their stability are analysed. It is found that the distribution of the Nelnikov orbits in phase space is not continuous, and all the Melnikov orbits are, actually, unstable as the perturbations to the Hamiltonian systems are sufficiently small,
出处
《北京师范大学学报（自然科学版）》
CAS
CSCD
1991年第4期435-438,共4页
Journal of Beijing Normal University(Natural Science)
基金
国家自然科学基金
关键词
哈密顿系统
稳定性
Melnikov轨道
Hamiltonian systems
Melnikov orbits
attracting basin of stable orbit
