哈密顿系统的稳定性边界

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基金项目: 国家自然科学基金资助项目(10072012);俄罗斯自然科学基金资助项目

On the Stability Boundary of Hamiltonian Systems

1.
Department of Mechanics, Dalian University of Technology, Dalian 116023, P R China;
2.
Institute of Mechanics, Moscow State Lomonosov University, Moscow 117192, Russia

摘要: 通过采用摄动法对线性哈密顿参数系统的特征值和特征向量进行灵敏度分析,给出了此类系统的稳定性边界的判据,结果表明:具有约当链的系统重特征根对系统的稳定性起至关重要的作用。
- 稳定边界 /
- 哈密顿系统 /
- 灵敏度分析 /
- 摄动方法
Abstract: The criterion for the points in the parameter space being on the stability boundary of linear Hamiltonian system depending on arbitrary numbers of parameters was given, through the sensitivity analysis of eigenvalues and eigenvectors. The results show that multiple eigenvalues with Jordan chain take a very important role in the stability of Hamiltonian systems.
- stability boundary /
- Hamiltonian system /
- sensitivity analysis /
- perturbation method

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