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Research articles

Relation between Levinson center, chain recurrent set and center of Birkhoff for compact dissipative dynamical systems

David Cheban

Department of Fundamental Mathematics, State University of Moldova, Faculty of Mathematics and Informatics, A. Mateevich Street 60, MD-2009 Chişinău, Moldova

Abstract: In this paper we prove the analogues of Birkhoff's theorem for one-sided dynamical systems (both with continuous and discrete times) with noncompact space having a compact global attractor. The relation between Levinson center, chain recurrent set and center of Birkhoff is established for compact dissipative dynamical systems.

Keywords and phrases: global attractors, Birkhoff's center, chain recurrent set.

MSC: 37B25, 37B35, 37B55, 37L15, 37L30, 37L45

Received: 24.01.2014

Language: English