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Embedding the symbolic dynamics of Lorenz maps

Published online by Cambridge University Press:  03 March 2014

TONY SAMUEL
Affiliation:
Fachbereich 3 – Mathematik, Universität Bremen, 28359 Bremen, Germany. e-mail: tony@math.uni-bremen.de
NINA SNIGIREVA
Affiliation:
School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland. e-mail: nina.snigireva@ucd.ie
ANDREW VINCE
Affiliation:
Department of Mathematics, University of Florida, Gaineville, Florida, U.S.A. e-mail: avince@ufl.edu

Abstract

Necessary and sufficient conditions for the symbolic dynamics of a given Lorenz map to be fully embedded in the symbolic dynamics of a piecewise continuous interval map are given. As an application of this embedding result, we describe a new algorithm for calculating the topological entropy of a Lorenz map.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 2014 

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References

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