Branched manifolds that describe strange attractors in R-3 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) similar to e(lambda(g-1)), with e(lambda) = 3, so that the "bounding tori entropy" is log(3).
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Details
Title
Entropy of Bounding Tori
Creators
Jacob Katriel - Technion – Israel Institute of Technology
Robert Gilmore - Drexel University
Publication Details
Entropy (Basel, Switzerland), v 12(4), pp 953-960
Publisher
Mdpi
Number of pages
8
Resource Type
Journal article
Language
English
Academic Unit
[Retired Faculty]
Web of Science ID
WOS:000277109500013
Scopus ID
2-s2.0-77953491783
Other Identifier
991019167967204721
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