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Persistence of Degenerate Lower Dimensional Invariant Tori in Reversible Systems with Bruno Non-degeneracy Conditions

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In this paper we consider a class of degenerate reversible systems with Bruno non-degeneracy conditions, and prove the persistence of a lower dimensional invariant torus, whose frequency vector is only… Click to show full abstract

In this paper we consider a class of degenerate reversible systems with Bruno non-degeneracy conditions, and prove the persistence of a lower dimensional invariant torus, whose frequency vector is only a small dilation of the prescribed one.

Keywords: degeneracy conditions; bruno non; non degeneracy; lower dimensional; reversible systems; systems bruno

Journal Title: Qualitative Theory of Dynamical Systems
Year Published: 2021

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