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Chaotic actions of topological semigroups

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An Erratum to this article was published on 23 October 2013

Abstract

In this paper we propose and explore a general notion of chaos in the abstract context of continuous actions of topological semigroups and show that any chaotic action on a Hausdorff uniform space is sensitive to initial conditions.

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Authors and Affiliations

  1. Institut für Algebra, Technische Universität Dresden, 01062, Dresden, Germany

    Friedrich Martin Schneider, Sebastian Kerkhoff & Mike Behrisch

  2. Institut für Analysis, Technische Universität Dresden, 01062, Dresden, Germany

    Stefan Siegmund

Authors
  1. Friedrich Martin Schneider
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  2. Sebastian Kerkhoff
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  3. Mike Behrisch
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  4. Stefan Siegmund
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Correspondence to Friedrich Martin Schneider.

Additional information

Communicated by Joachim Hilgert.

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Schneider, F.M., Kerkhoff, S., Behrisch, M. et al. Chaotic actions of topological semigroups. Semigroup Forum 87, 590–598 (2013). https://doi.org/10.1007/s00233-013-9517-4

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  • DOI: https://doi.org/10.1007/s00233-013-9517-4

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