On the Stability Boundary of Hamiltonian Systems

QI Zhao-hui; Alexander P. Seyranian

Volume 23 Issue 2

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Abstract

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(2): 173-178

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.

Citation:

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

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

Abstract

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.
- stability boundary,
- Hamiltonian system,
- sensitivity analysis,
- perturbation method

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References(7)

References

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