Buescu, Jorge, Kulczycki, Marcin and Stewart, Ian, 1945-. (2006) Liapunov stability and adding machines revisited. Dynamical Systems, Vol.21 (No.3). pp. 379-384. ISSN 1468-9367

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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.

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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
Date:	September 2006
Volume:	Vol.21
Number:	No.3
Number of Pages:	6
Page Range:	pp. 379-384
Identification Number:	10.1080/14689360600649815
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
URI:	http://wrap.warwick.ac.uk/id/eprint/32823

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