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Entropy of Bounding Tori
Journal article   Open access   Peer reviewed

Entropy of Bounding Tori

Jacob Katriel and Robert Gilmore
Entropy (Basel, Switzerland), v 12(4), pp 953-960
01 Apr 2010
url
https://doi.org/10.3390/e12040953View
Published, Version of Record (VoR)CC BY V4.0 Open

Abstract

Physical Sciences Physics Physics, Multidisciplinary Science & Technology
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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Physics, Multidisciplinary
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