Mathematics – Dynamical Systems
Scientific paper
2010-08-18
Mathematics
Dynamical Systems
Scientific paper
We introduce the study of the local dynamics around a parabolic indifferent invariant curve for fibred holomorphic maps. As in the classical non-fibred case, we show that petals are the main ingredient. Nevertheless, one expects the properties of the base rotation number should play an important role in the arrangement of the petals. We exhibit examples where the existence and the number of petals depend not just on the complex coordinate of the map, but on the base rotation number. Furthermore, under additional hypothesis on the arithmetics and smoothness of the map, we present a theorem that allows to characterize the local dynamics around a parabolic invariant curve.
No associations
LandOfFree
Towards a semilocal study of parabolic invariant curves for fibred holomorphic maps 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 Towards a semilocal study of parabolic invariant curves for fibred holomorphic maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Towards a semilocal study of parabolic invariant curves for fibred holomorphic maps will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-507895