Unique normal forms for area preserving maps near a fixed point with neutral multipliers

Abstract

We study normal forms for families of area-preserving maps which have a fixed point with neutral multipliers ±1 at ε = 0. Our study covers both the orientation-preserving and orientation-reversing cases. In these cases Birkhoff normal forms do not provide a substantial simplification of the system. In the paper we prove that the Takens normal form vector… (More)

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