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Article Contents

# Gevrey-smoothness of invariant tori for analytic reversible systems under Rüssmann's non-degeneracy condition

• In this paper we prove Gevrey smoothness of the persisting invariant tori for small perturbations of analytic linear reversible systems with Rüssmann's non-degeneracy condition by an improved KAM iteration method with parameters.
Mathematics Subject Classification: Primary: 37J40; Secondary: 37E99, 47A55, 37F50.

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