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Topological conjugation of Lorenz maps by β-transformations

Published online by Cambridge University Press:  24 October 2008

Paul Glendinning
Paul Glendinning
Affiliation:
Department of Applied Mathematics and Theoretical Physics, Silver Street, Cambridge CB3 9EW
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Abstract

Necessary and sufficient conditions for a Lorenz map to be topologically conjugate to a piecewise linear map with constant slope (a β-transformation) are given, first in terms of kneading invariants of the maps and then in terms of the topological entropy restricted to basic sets. The dynamics of β-transformations is also described.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 107 , Issue 2 , March 1990 , pp. 401 - 413
Copyright
Copyright © Cambridge Philosophical Society 1990

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