Displaying similar documents to “The equicontinuous structure relation of a unicoherent point-transitive flow”

A survey on transitivity in discrete time dynamical systems. application to symbolic systems and related languages

Gianpiero Cattaneo, Alberto Dennunzio, Fabio Farina (2006)

RAIRO - Theoretical Informatics and Applications

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The main goal of this paper is the investigation of a relevant property which appears in the various definition of deterministic topological chaos for discrete time dynamical system: transitivity. Starting from the standard Devaney's notion of topological chaos based on regularity, transitivity, and sensitivity to the initial conditions, the critique formulated by Knudsen is taken into account in order to exclude periodic chaos from this definition. Transitivity (or some stronger versions...

An exotic flow on a compact surface

N. Markley, M. Vanderschoot (2000)

Colloquium Mathematicae

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In 1988 Anosov [1] published the construction of an example of a flow (continuous real action) on a cylinder or annulus with a phase portrait strikingly different from our normal experience. It contains orbits whose ο m e g a -limit sets contain a non-periodic orbit along with a simple closed curve of fixed points, but these orbits do not wrap down on this simple closed curve in the usual way. In this paper we modify some of Anosov’s methods to construct a flow on a surface of genus 2 with equally...

Flow compactifications of nondiscrete monoids, idempotents and Hindman’s theorem

Richard N. Ball, James N. Hagler (2003)

Czechoslovak Mathematical Journal

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We describe the extension of the multiplication on a not-necessarily-discrete topological monoid to its flow compactification. We offer two applications. The first is a nondiscrete version of Hindman’s Theorem, and the second is a characterization of the projective minimal and elementary flows in terms of idempotents of the flow compactification of the monoid.