Symbolic Dynamics for Smale Flows

Name: Symbolic Dynamics for Smale Flows
Creator: Pollicott, Mark
Keywords: flows, Dynamical systems with hyperbolic behavior, 0103 physical sciences, suspension, 0101 mathematics, 01 natural sciences, subshift of finite type

Pollicott, Mark

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American Journal of Mathematics

Article . 1987 . Peer-reviewed

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https://dx.doi.org/10.2307/237...

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Symbolic Dynamics for Smale Flows

Symbolic dynamics for Smale flows

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1987Publisher:JSTORJournal:American Journal of Mathematics, volume 109, page 183 (issn: 0002-9327,

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Authors: Pollicott, Mark;

doi: 10.2307/2374558

Symbolic Dynamics for Smale Flows

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Abstract

The author develops a symbolic model for a certain class of flows. The model is the suspension of a subshift of finite type by a continuous function. The class of flows for which this is developd is strictly larger than the class of axiom A flows where this type of construction was carried out by Bowen. The author calls these flows Smale flows. They are the flow analogue of Ruelle's Smale spaces.

Keywords

flows, Dynamical systems with hyperbolic behavior, suspension, subshift of finite type

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