The hyperbolic invariant tori of symplectic mappings |
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| Authors: | Wenzhuang Zhu Baifeng Liu Zhenxin Liu |
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| Institution: | 1. School of Mathematical Sciences, Peking University, Beijing 100871, PR China;2. College of Mathematics, Nankai University, Tianjin 300071, PR China;3. College of Mathematics and Information Sciences, Institute of Shandong Business and Technology, Yantai 264005, PR China;4. College of Mathematics, Jilin University, Changchun 130012, PR China |
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| Abstract: | In this paper we study the persistence of lower dimensional hyperbolic invariant tori for nearly integrable twist symplectic mappings. Under a Rüssmann-type non-degenerate condition, by introducing a modified KAM iteration scheme, we proved that nearly integrable twist symplectic mappings admit a family of lower dimensional hyperbolic invariant tori as long as the symplectic perturbation is small enough. |
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| Keywords: | 58F14 58F05 58F30 37J40 |
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