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Liapunov stability and adding machines revisited

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Buescu, Jorge, Kulczycki, Marcin and Stewart, Ian (2006) Liapunov stability and adding machines revisited. Dynamical Systems, Vol.21 (No.3). pp. 379-384. doi:10.1080/14689360600649815

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Official URL: http://dx.doi.org/10.1080/14689360600649815

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Abstract

We give a revised proof of a theorem originally due to Buescu and Stewart (1995). The new version of this theorem dispenses with the assumption that the space X is locally compact. The theorem is as follows: let X be a locally connected metric space, let f: X -> X be a continuous map, and let A subset of X be a Liapunov stable compact transitive set that has infinitely many connected components. Then the map induced by f on the space of connected components of A is topologically conjugate to an adding machine.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
T Technology > TJ Mechanical engineering and machinery
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Dynamical Systems
Publisher: Taylor & Francis Ltd.
ISSN: 1468-9367
Official Date: September 2006
Dates:
DateEvent
September 2006UNSPECIFIED
Volume: Vol.21
Number: No.3
Number of Pages: 6
Page Range: pp. 379-384
DOI: 10.1080/14689360600649815
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

Data sourced from Thomson Reuters' Web of Knowledge

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