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Entropy of expansive flows

Published online by Cambridge University Press:  19 September 2008

Romeo F. Thomas
Romeo F. Thomas
Affiliation:
Department of Mathematical Sciences, George Mason University, 4400 University Drive, Fairfax, Virginia 22030, USA
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Abstract

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Let h(φ) be the topological entropy of a real continuous flow φ on a compact metric space X. Introducing an equivalent definition for the topological entropy on an expansive real flow enables us to investigate the topological entropies of mutually conjugate expansive flows and estimate the periodic orbits of an expansive flow which has the pseudo-orbit tracing property.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 7 , Issue 4 , December 1987 , pp. 611 - 625
Copyright
Copyright © Cambridge University Press 1987

References

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