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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

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