ON THE STABILITY BOUNDARY OF HAMILTONIAN SYSTEMS

Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (2): 187-193.

ON THE STABILITY BOUNDARY OF HAMILTONIAN SYSTEMS

齐朝晖¹, Alexander P.Seyranian²

1. Department of Mechanics, Dalian University of Technology, Dalian 116023, P R China;
2. Institute of Mechanics, Moscow State Lomonosov University, Moscow 117192, Russia

收稿日期:2000-06-22 修回日期:2001-09-18 出版日期:2002-02-18 发布日期:2002-02-18
基金资助:
the National Natural Science Foundation of China(10072012);the National Natural Science Foundation of Russia

ON THE STABILITY BOUNDARY OF HAMILTONIAN SYSTEMS

QI Zhao-hui¹, Alexander P.Seyranian²

1. Department of Mechanics, Dalian University of Technology, Dalian 116023, P R China;
2. Institute of Mechanics, Moscow State Lomonosov University, Moscow 117192, Russia

Received:2000-06-22 Revised:2001-09-18 Online:2002-02-18 Published:2002-02-18
Supported by:
the National Natural Science Foundation of China(10072012);the National Natural Science Foundation of Russia

摘要/Abstract

摘要： 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.

中图分类号:

O317.3

齐朝晖;Alexander P.Seyranian. ON THE STABILITY BOUNDARY OF HAMILTONIAN SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(2): 187-193.

QI Zhao-hui;Alexander P.Seyranian. ON THE STABILITY BOUNDARY OF HAMILTONIAN SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(2): 187-193.

ON THE STABILITY BOUNDARY OF HAMILTONIAN SYSTEMS

ON THE STABILITY BOUNDARY OF HAMILTONIAN SYSTEMS

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