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    題名: Bifurcations and dynamical evolution of eigenvalues of Hamiltonian systems
    作者: Hsiao, Fu-Yuen;Scheeres, D. J.
    貢獻者: 淡江大學航空太空工程學系
    關鍵詞: Bifurcation (mathematics);Hamiltonians;Mathematical models;Stability;Evolution of eigenvalues;Hamiltonian system;Krein signature;Transient stability;Eigenvalues and eigenfunctions
    日期: 2006-01
    上傳時間: 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
    顯示於類別:[航空太空工程學系暨研究所] 期刊論文

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