Persistence of Lower Dimensional Tori for a Class of Nearly Integrable Reversible Systems |
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Authors: | Xiaocai Wang Dongfeng Zhang Junxiang Xu |
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Institution: | 1.Faculty of Mathematics and Physics,Huaiyin Institute of Technology,Huaian,P.R. China;2.Department of Mathematics,Southeast University,Nanjing, Jiangsu,P.R. China |
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Abstract: | In this paper we consider the persistence of lower dimensional invariant tori for a class of reversible systems, and prove
that if the average of the linear terms has full rank, then the invariant torus with Diophantine frequencies persists under
small perturbations. |
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Keywords: | |
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