Splitting words and Lorenz braids. (English) Zbl 0783.58041

Tresser, C.; Williams, R. F.

Physica D 62, No. 1-4, 15-21 (1993).

Summary: 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 nonchaotic semi-flows on this surface. We first present a combinatorial version of our main result, and then merely reinterpret it in topological terms.

MSC:

37A99	Ergodic theory
37C70	Attractors and repellers of smooth dynamical systems and their topological structure
54C70	Entropy in general topology
37E99	Low-dimensional dynamical systems

Keywords:

topological entropy; Lorenz periodic orbits

References:

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