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Research articles

Compact global attractors of non-autonomous gradient-like dynamical systems

David Cheban

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

Abstract: In this paper we study the asymptotic behavior of gradient-like non-autonomous dynamical systems. We give a description of the structure of the Levinson center (maximal compact invariant set) for this class of systems.

Keywords and phrases: gradient-like dynamical systems, global attractor, fixed-points, chain recurrent motions.

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

Received: 02.05.2014

Language: English