Bifurcations and dynamical evolution of eigenvalues of Hamiltonian systems

被引：2
|
作者：
Hsiao, FY [1 ]
Scheeres, DJ
机构：
[1] Tamkang Univ, Dept Aerosp Engn, Tamsui 251, Taiwan
[2] Univ Michigan, Dept Aerosp Engn, Ann Arbor, MI 48109 USA
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2006年 / 213卷 / 01期
基金：
美国国家航空航天局;
关键词：
bifurcation; evolution of eigenvalues; transient stability; Hamiltonian system; Krein signature;
D O I：
10.1016/j.physd.2005.10.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The transient behavior of the eigenvalues of a state transition matrix in a Hamiltonian system is investigated. Mathematical tools are developed to derive the necessary and sufficient conditions for bifurcations of eigenvalues off and onto the unit circle. The transient behavior of eigenvalues is quantified and the mechanism by which instability transitions occur is identified. This work can be seen as a generalization of the Krein Signature. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：66 / 75
页数：10
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