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Semigroup compactifications and chaotic flows

Published online by Cambridge University Press:  01 April 1998

ANGELA KÖHLER
ANGELA KÖHLER
Affiliation:
Arbeitsbereich Funktionalanalysis, Mathematisches Institut, Auf der Morgenstelle 10, D - 72076 Tübingen, Germany
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Abstract

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We use the concept of enveloping Ellis semigroups in order to classify the behaviour of dynamical systems on intervals. Several notions of chaos and non-chaos are expressed by means of algebraic properties of the corresponding Ellis semigroups.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 18 , Issue 2 , April 1998 , pp. 397 - 404
Copyright
1998 Cambridge University Press