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

Details 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

2009-12-15

arxiv.org/abs/0912.2922v1

Mathematics

Dynamical Systems

25 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Unique normal forms for area preserving maps near a fixed point with neutral multipliers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Unique normal forms for area preserving maps near a fixed point with neutral multipliers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unique normal forms for area preserving maps near a fixed point with neutral multipliers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-306025