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Persistence of Lower Dimensional Tori for a Class of Nearly Integrable Reversible Systems
Authors:Xiaocai Wang  Dongfeng Zhang  Junxiang Xu
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
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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