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

• Articles • Previous Articles     Next Articles

ON THE STABILITY BOUNDARY OF HAMILTONIAN SYSTEMS

QI Zhao-hui1, Alexander P.Seyranian2   

  1. 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

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.

2010 MSC Number: 

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