Persistence of lower dimensional invariant tori in a class of reversible systems |
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| Authors: | Weiwei Hong |
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| Affiliation: | School of Mathematics, Southeast University, Nanjing, Jiangsu, P.R. China |
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| Abstract: | In this paper we prove the persistence of lower dimensional invariant tori for a class of reversible systems without any non-degeneracy condition. In the proof, we use the special nature that the dimension of the frequency ω is 2 and the modified KAM iteration to prove the persistence of lower dimensional hyperbolic invariant tori, but the frequency has some small shifts from small perturbations. |
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| Keywords: | Reversible system Hamiltonian system invariant tori KAM iteration non-degeneracy condition |
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