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Melnikov轨道的分布和稳定性
引用本文:胡岗.Melnikov轨道的分布和稳定性[J].北京师范大学学报(自然科学版),1991,27(4):435-438.
作者姓名:胡岗
作者单位:北京师范大学物理系 100875
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。

关 键 词:哈密顿系统  稳定性  Melnikov轨道

DISTRIBUTION AND STABILITY OF THE MELNIKOV ORBITS
Hu Gang.DISTRIBUTION AND STABILITY OF THE MELNIKOV ORBITS[J].Journal of Beijing Normal University(Natural Science),1991,27(4):435-438.
Authors:Hu Gang
Institution:Hu Gang Department of Physics,Beijing Normal University,100875,Beijing,PRC
Abstract: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,
Keywords:Hamiltonian systems  Melnikov orbits  attracting basin of stable orbit
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