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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2015, Number 2, Pages 42–60 (Mi basm391)  
This article is cited in 1 scientific paper (total in 1 paper)

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
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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.
Received: 24.01.2014
Document Type: Article
MSC: 37B25, 37B35, 37B55, 37L15, 37L30, 37L45
Language: English
Citation: David Cheban, “Relation between Levinson center, chain recurrent set and center of Birkhoff for compact dissipative dynamical systems”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2015, no. 2, 42–60
Citation in format AMSBIB
\Bibitem{Che15}
\by David~Cheban
\paper Relation between Levinson center, chain recurrent set and center of Birkhoff for compact dissipative dynamical systems
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2015
\issue 2
\pages 42--60
\mathnet{http://mi.mathnet.ru/basm391}
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    • This publication is cited in the following 1 articles:
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