PIECEWISE CONTRACTIONS ARE ASYMPTOTICALLY PERIODIC
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Bruin, H and Deane, JHB (2009) PIECEWISE CONTRACTIONS ARE ASYMPTOTICALLY PERIODIC P AM MATH SOC, 137 (4). 1389 - 1395. ISSN 0002-9939
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Abstract
We show that, given a finite partition of the plane C such that the map G acts as a linear contraction on each part, for almost every choice of parameters every orbit of G is (asymptotically) periodic.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Piecewise contraction, piecewise isometry, ISOMETRIES, DYNAMICS, ROTATIONS, SYSTEMS, MAPS |
| Divisions: | Faculty of Engineering and Physical Sciences > Mathematics |
| ID Code: | 1397 |
| Deposited By: | Mr Adam Field |
| Deposited On: | 27 May 2010 15:40 |
| Last Modified: | 16 Feb 2013 14:54 |
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