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ON THE STABILITY BOUNDARY OF HAMILTONIAN SYSTEMS

ON THE STABILITY BOUNDARY OF HAMILTONIAN SYSTEMS
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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. 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.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2002年第2期187-193,共7页 应用数学和力学(英文版)
基金 theNationalNaturalScienceFoundationofChina ( 1 0 0 72 0 1 2 ) theNationalNaturalScienceFoundationofRussia
关键词 stability boundary Hamiltonian system sensitivity analysis perturbation method stability boundary Hamiltonian system sensitivity analysis perturbation method
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参考文献7

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