Splitting words and Lorenz braids
Abstract
A canonical way to split Lorenz periodic orbits is presented. This allows one to recognize the braids on the Lorenz template which can occur in non-chaotic semi-flows on this surface. We first present a combinatorial version of our main result, and then merely reinterpret it in topological terms.
- Publication:
-
Physica D Nonlinear Phenomena
- Pub Date:
- January 1993
- DOI:
- 10.1016/0167-2789(93)90269-7
- Bibcode:
- 1993PhyD...62...15T