Journal
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Volume 36, Issue 1, Pages 233-255Publisher
SIAM PUBLICATIONS
DOI: 10.1137/S0036141003421923
Keywords
reversible systems; Kolmogorov-Arnold-Moser iteration; invariant tori; nonresonance conditions
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In this paper we give a normal form for reversible systems and then prove the persistence of lower dimensional invariant tori for integrable reversible systems under small perturbations with weaker nonresonance conditions than have previously been imposed. Our nonresonance conditions correspond to the first Melnikov's conditions in the case of Hamiltonian systems.
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