Entropy of Bounding Tori

Branched manifolds that describe strange attractors in R3 can be enclosed in, and are organized by, canonical bounding tori. Tori of genus g are labeled by a symbol sequence, or “periodic orbit”, of period g-1. We show that the number of distinct canonical bounding tori grows exponentially like N(g)...

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Bibliographic Details
Main Authors: Jacob Katriel, Robert Gilmore
Format: Article
Language:English
Published: MDPI AG 2010-04-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/12/4/953/