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Persistence of lower dimensional invariant tori in a class of reversible systems

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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… Click to show full abstract

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.

Keywords: lower dimensional; invariant tori; persistence lower; dimensional invariant

Journal Title: Dynamical Systems
Year Published: 2018

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