期刊論文
| 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 | en |
| ISSN | 0167-2789 |
| 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 | NLD |
| 公開徵稿 | |
| 出版型式 | 紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/45981 ) |