Renormalization and alpha-limit set for expanding Lorenz maps

Details Renormalization and alpha-limit set for expanding Lorenz maps Renormalization and alpha-limit set for expanding Lorenz maps

2007-03-27

arxiv.org/abs/math/0703777v2

Mathematics

Dynamical Systems

22 pages, 1 figure

Scientific paper

We show that there is a bijection between the renormalizations and proper completely invariant closed sets of expanding Lorenz map, which enable us to distinguish periodic and non-periodic renormalizations. Based on the properties of periodic orbit of minimal period, the minimal completely invariant closed set is constructed. Topological characterizations of the renormalizations and $\alpha$-limit sets are obtained via consecutive renormalizations. Some properties of periodic renormalizations are collected in Appendix.

Affiliated with

Also associated with

No associations

Rating

Renormalization and alpha-limit set for expanding Lorenz 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 Renormalization and alpha-limit set for expanding Lorenz maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Renormalization and alpha-limit set for expanding Lorenz maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-372744