Unique normal forms for area preserving maps near a fixed point with neutral multipliersReport as inadecuate



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


Unique normal forms for area preserving maps near a fixed point with neutral multipliers - Download this document for free, or read online. Document in PDF available to download.

Download or read this book online for free in PDF: Unique normal forms for area preserving maps near a fixed point with neutral multipliers
We study normal forms for families of area-preserving maps which have a fixed point with neutral multipliers -1 or +1 at epsilon=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 field can be substantially simplified. We also show that if certain non-degeneracy conditions are satisfied no further simplification is generically possible since the constructed normal forms are unique. In particular, we provide a full system of formal invariants with respect to formal coordinate changes.



Author: V. Gelfreich; N. Gelfreikh

Source: https://archive.org/







Related documents