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A note on transitive flows

Published online by Cambridge University Press:  19 September 2008

Deborah A. Lawrence  and
Edward S. Thomas
Deborah A. Lawrence
Affiliation:
Department of Mathematics and Computer Science, Russell Sage College, Troy, New York 12180, USA
Edward S. Thomas
Affiliation:
Department of Mathematics and Statistics, State University of New Yorkat Albany, Albany, New York 12222, USA
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Abstract

In this article, we study transitive flows on manifolds or on manifold-like phase spaces. These are flows in which at least one orbit is dense. By quantifying the nature of the set of dense orbits, a variety of transitivity types is obtained. We explore conditions under which products or ‘scaled’ products of transitive flows are again transitive. We also investigate a connection between transitivity and topologically strong mixing.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 15 , Issue 2 , April 1995 , pp. 333 - 339
Copyright
Copyright © Cambridge University Press 1995

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References

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