The hyperbolic invariant tori of symplectic mappings
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 fa...
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| Veröffentlicht in: | Nonlinear analysis 2008, Vol.68 (1), p.109-126 |
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| container_title | Nonlinear analysis |
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| creator | Zhu, Wenzhuang Liu, Baifeng Liu, Zhenxin |
| description | 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. |
| doi_str_mv | 10.1016/j.na.2006.10.035 |
| format | Article |
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| ispartof | Nonlinear analysis, 2008, Vol.68 (1), p.109-126 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals Complete |
| subjects | Exact sciences and technology Invariant tori KAM theorem Mathematical analysis Mathematics Sciences and techniques of general use Symplectic mappings |
| title | The hyperbolic invariant tori of symplectic mappings |
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