Year: 2011
Communications in Mathematical Research , Vol. 27 (2011), Iss. 1 : pp. 81–96
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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2011-CMR-19109
Communications in Mathematical Research , Vol. 27 (2011), Iss. 1 : pp. 81–96
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: random Hamiltonian system KAM type theorem Cantor fragment of invariant tori.