教師資料查詢 | 類別: 期刊論文 | 教師: 蕭富元 FU-YUEN HSIAO (瀏覽個人網頁)

標題:Bifurcations and dynamical evolution of eigenvalues of Hamiltonian systems
學年94
學期1
出版(發表)日期2006/01/01
作品名稱Bifurcations and dynamical evolution of eigenvalues of Hamiltonian systems
作品名稱(其他語言)
著者Hsiao, Fu-Yuen; Scheeres, D. J.
單位淡江大學航空太空工程學系
出版者Amsterdam: Elsevier BV * North-Holland
著錄名稱、卷期、頁數Physica D: Nonlinear Phenomena 213(1), pp.66-75
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.
關鍵字Bifurcation (mathematics); Hamiltonians; Mathematical models; Stability; Evolution of eigenvalues; Hamiltonian system; Krein signature; Transient stability; Eigenvalues and eigenfunctions
語言英文
ISSN0167-2789
期刊性質國外
收錄於
產學合作
通訊作者Hsiao, Fu-Yuen
審稿制度
國別荷蘭
公開徵稿
出版型式紙本
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