Smale horseshoe via the anti-integrability

Yi-Chiuan Chen

Chaos, Solitons & Fractals, 2006, vol. 28, issue 2, 377-385

Abstract: The embedding of the Bernoulli shift into the horseshoe map can be viewed as it is inherited from the anti-integrable limit where the horseshoe has infinite contraction in one direction and infinite expansion in the other. At the limit the map is virtually a subshift of finite type with four symbols or equivalently a full shift with two symbols. We present an algebraic explanation for the equivalence of the two shifts.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:28:y:2006:i:2:p:377-385

DOI: 10.1016/j.chaos.2005.05.050

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