Fundamental semigroups for dynamical systems

Fritz Colonius; Marco Spadini

doi:10.3934/dcds.2006.14.447

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2006, Volume 14, Issue 3: 447-463. Doi: 10.3934/dcds.2006.14.447

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Fundamental semigroups for dynamical systems

Fritz Colonius^1, and
Marco Spadini^2,

1.
Institut für Mathematik, Universität Augsburg, 86135 Augsburg
2.
Dipartimento di Matematica Applicata, Via S. Marta 3, 50139 Firenze

Received: July 31, 2004

Revised: June 30, 2005

Published: August 2006

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Abstract

Algebraic semigroups describing the dynamic behavior are associated to compact, locally maximal chain transitive subsets. The construction is based on perturbations and associated local control sets. The dependence on the perturbation structure is analyzed.

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Mathematics Subject Classification: 37N35, 93C10, 93C15, 20M99.

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