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The Melnikov's method for local-subharmonic orbits of a vibro-impact quasi-Hamiltonian system
Author(s): 
Pages: 214-219
Year: Issue:  2
Journal: Journal of Vibration Engineering

Keyword:  Melnikov's methodlocal-subharmonic orbitsvibro-impact quasi-Hamiltonian systemhomoclinic orbitPoincaré maping;
Abstract: 将Melnikov方法应用于碰振准哈密顿系统的局部亚谐轨道,推导出了局部亚谐轨道的Melnikov函数.该函数可以用于确定存在局部亚谐轨道及极限环分岔的条件.给出的局部亚谐轨道Melnikov函数和同宿轨道Melnikov函数共同揭示了准哈密顿系统的诸多动力学特征;然后,通过数值方法模拟受迫碰振振子运动,验证了局部亚谐Melnikov函数的正确性.
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