A note on transitive flows
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Published:1995-04
Issue:2
Volume:15
Page:333-339
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ISSN:0143-3857
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Container-title:Ergodic Theory and Dynamical Systems
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language:en
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Short-container-title:Ergod. Th. Dynam. Sys.
Author:
Lawrence Deborah A.,Thomas Edward S.
Abstract
AbstractIn 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.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Reference10 articles.
1. EXISTENCE OF SMOOTH ERGODIC FLOWS ON SMOOTH MANIFOLDS
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3. [7] Lawrence D. A. . Dissertation. State University of New York at Albany, 1992.