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Chaos and topological entropy in dimension n>1

Published online by Cambridge University Press:  19 September 2008

Covadonga Blanco García
Covadonga Blanco García
Affiliation:
Departamento de Ecuaciones Funcionales, Faculdad de Matemáticas, Universidad de Santiago de Compostela(La Coruña), Spain
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Abstract

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In this paper we present a generalization to higher dimensions of the techniques for computation of the entropy of graphs in dimension one. Following these methods, we obtain a lower bound for the topological entropy of a differentiable map F:ℝn→ℝn possessing a snap-back repeller.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 6 , Issue 2 , June 1986 , pp. 163 - 165
Copyright
Copyright © Cambridge University Press 1986

References

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