QI Zhao-hui, Alexander P. Seyranian. On the Stability Boundary of Hamiltonian Systems[J]. Applied Mathematics and Mechanics, 2002, 23(2): 173-178.
Citation: QI Zhao-hui, Alexander P. Seyranian. On the Stability Boundary of Hamiltonian Systems[J]. Applied Mathematics and Mechanics, 2002, 23(2): 173-178.

On the Stability Boundary of Hamiltonian Systems

  • Received Date: 2000-06-22
  • Rev Recd Date: 2001-09-18
  • Publish Date: 2002-02-15
  • 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.
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