Affiliation:
1. Centrum voor Wiskunde en Informatica, Postbus 94079, 1090 GB Amsterdam, The Netherlands
Abstract
A flow in three-dimensions is universal if the periodic orbits contains all knots and links. Universal flows were shown to exist by Ghrist, and can be constructed by means of templates. Likewise, a planar diffeomorphism is universal if it has a suspension flow which is a universal flow. In this paper we prove the existence of a homoclinic trellis type for which any representative diffeomorphism is universal. This trellis type is remarkable in that it has zero entropy, and only two homoclinic intersection points.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
2 articles.
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1. References;The Topology of Chaos;2011-11-28
2. Lobe transport analysis of the Kelvin–Stuart cat’s eyes driven flow;Chaos: An Interdisciplinary Journal of Nonlinear Science;2010-03