# American Institute of Mathematical Sciences

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

## Fundamental semigroups for dynamical systems

 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.
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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