On the stability boundary of hamiltonian systems |
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| Authors: | Qi Zhao-hui and Alexander P Seyranian |
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| Institution: | (1) Department of Mechanics, Dalian University of Technology, 116023 Dalian, P R China;(2) Institute of Mechanics, Moscow State Lomonosov University, 117192 Moscow, Russia |
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| 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.
Foundation item: the National Natural Science Foundation of China (10072012); the National Natural Science Foundation of Russia
Biography: QI Zhao-hui (1964-) |
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| Keywords: | stability boundary Hamiltonian system sensitivity analysis perturbation method |
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