Mathematics – Dynamical Systems
Scientific paper
2009-07-20
Mathematics
Dynamical Systems
Scientific paper
We consider rational surface automorphisms with positive entropy. A Fatou component is said to be a rotation domain if the automorphism induces a torus action on it. Here we construct a rational surface automorphism with positive entropy with the following property: it has a rotation domain which contains both a curve of fixed points and isolated fixed points. This Fatou component cannot be imbedded into complex euclidean space, so we introduce a global linear model space and show that it can be globally linearized in this model.
Bedford Eric
Kim Kyounghee
No associations
LandOfFree
Dynamics of Rational Surface Automorphisms: Rotation Domains 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 Dynamics of Rational Surface Automorphisms: Rotation Domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamics of Rational Surface Automorphisms: Rotation Domains will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-696027