| ON THE STABILITY BOUNDARY OF HAMILTONIAN SYSTEMS |
| |
| 引用本文： | 齐朝晖. ON THE STABILITY BOUNDARY OF HAMILTONIAN SYSTEMS[J]. 应用数学和力学(英文版), 2002, 23(2): 187-193. DOI: 10.1007/BF02436560 |
| |
| 作者姓名： | 齐朝晖 |
| |
| 作者单位： | QI Zhao_hui，Alexander P.Seyranian 2(1 Department of Mechanics，Dalian University of Technology，Dalian 116023，P R China; 2 Institute of Mechanics，Moscow State Lomonosov University，Moscow 117192，Russia)(Communicated by TANG Li_min) |
| |
| 基金项目： | theNationalNaturalScienceFoundationofChina ( 1 0 0 72 0 1 2 )，theNationalNaturalScienceFoundationofRussia |
| |
| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＭａｎｙｍｅｃｈａｎｉｃａｌｓｙｓｔｅｍｓｃａｎｂｅｖｉｅｗｅｄａｓｌｉｎｅａｒＨａｍｉｌｔｏｎｉａｎｓｙｓｔｅｍｓ.Ｗｈｅｎｗｅｓｔｕｄｙｔｈｅｅｆｆｅｃｔｓｏｆｓｙｓｔｅｍｐａｒａｍｅｔｅｒｓｏｎｔｈｅｂｅｈａｖｉｏｒｏｆｔｈｅｓｙｓｔｅｍｓ,ｔｈｅｓｙｓｔｅｍｃａｎｂｅｒｅｇａｒｄｅｄａｓｔｈｅｓｙｓｔｅｍｄｅｐｅｎｄｉｎｇｏｎｐａｒａｍｅｔｅｒｓ.Ｖｅｒｙｉｍｐｏｒｔａｎｔｓｙｓｔｅｍｐａｒａｍｅｔｅｒｓ ,ｓｕｃｈａｓｃｒｉｔｉｃａｌｌｏａｄ ,ｃｒｉｔｉｃａｌａｎｇ…
|
| 收稿时间： | 2000-06-22 |
On the stability boundary of hamiltonian systems |
| |
| Qi Zhao-hui Associate Professor, Doctor,Alexander P. Seyranian. On the stability boundary of hamiltonian systems[J]. Applied Mathematics and Mechanics(English Edition), 2002, 23(2): 187-193. DOI: 10.1007/BF02436560 |
| |
| Authors: | Qi Zhao-hui Associate Professor Doctor Alexander P. Seyranian |
| |
| Affiliation: | 1. Department of Mcchanics,Dalian University of Technology,Dalian,116023,P Rchina
2. Institute of Mechanics,Moscow State Lomonosov University,Moscow,117192,Russia |
| |
| Abstract: | The criterion for the points in the parameter space being on the stability boundary of linear Hamiltonian system depending on arbitrary numbers of parameters was given, through the sensitivity analysis of eigenvalues and eigenvectors. The results show that multiple eigenvalues with Jordan chain take a very important role in the stability of Hamiltonian systems. |
| |
| Keywords: | stability boundary Hamiltonian system sensitivity analysis perturbation method |
| 本文献已被 CNKI 万方数据 SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
|
点击此处可从《应用数学和力学(英文版)》下载全文 |
