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IMI/Publicaţii/BASM/Ediţii/BASM n.2 (78), 2015/

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

Authors: David Cheban

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.

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