KAM Type-Theorem for Lower Dimensional Tori in Random Hamiltonian Systems |
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| Authors: | LI Yong Xu Lu |
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| Institution: | LI Yong and Xu Lu (College of Mathematics,Key Laboratory of Symbolic computation and Knowledge Engineering of Ministry of Education,Jilin University,Changchun,130012) |
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| Abstract: | In this paper,we study the persistence of lower dimensional tori for random Hamiltonian systems,which shows that majority of the unperturbed tori persist as Cantor fragments of lower dimensional ones under small perturbation.Using this result,we can describe the stability of the non-autonomous dynamic systems. |
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| Keywords: | random Hamiltonian system KAM type theorem Cantor fragment of invariant tori |
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