Fundamental semigroups for dynamical systems

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July 2006, 14(3): 447-463. doi: 10.3934/dcds.2006.14.447

Fundamental semigroups for dynamical systems

Fritz Colonius ^1, and Marco Spadini ^2,

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

Received August 2004 Revised July 2005 Published December 2005

Abstract
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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.

Keywords: perturbation structure, algebraic semigroups., Chain transitive subsets, local control sets.

Mathematics Subject Classification: 37N35, 93C10, 93C15, 20M9.

Citation: Fritz Colonius, Marco Spadini. Fundamental semigroups for dynamical systems. Discrete & Continuous Dynamical Systems - A, 2006, 14 (3) : 447-463. doi: 10.3934/dcds.2006.14.447

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