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    题名: Bifurcations and dynamical evolution of eigenvalues of Hamiltonian systems
    作者: Hsiao, Fu-Yuen;Scheeres, D. J.
    贡献者: 淡江大學航空太空工程學系
    关键词: Bifurcation (mathematics);Hamiltonians;Mathematical models;Stability;Evolution of eigenvalues;Hamiltonian system;Krein signature;Transient stability;Eigenvalues and eigenfunctions
    日期: 2006-01
    上传时间: 2013-03-20 16:23:52 (UTC+8)
    出版者: Amsterdam: Elsevier BV * North-Holland
    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.
    關聯: Physica D: Nonlinear Phenomena 213(1), pp.66-75
    DOI: 10.1016/j.physd.2005.10.014
    显示于类别:[航空太空工程學系暨研究所] 期刊論文

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