RELATION BETWEEN LEVINSON CENTER, CHAIN RECURRENT SET AND CENTER OF BIRKHOFF FOR COMPACT DISSIPATIVE DYNAMICAL SYSTEMS
Date
2015
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Academy of Sciences of 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.
Mathematics subject classification: 37B25, 37B35 37B55, 37L15, 37L30, 37L45.
Description
Keywords
global attractors, Birkhoff’s center, chain recurrent set
Citation
CHEBAN, David. Relation between Levinson center, chain recurrent set and center of Birkhoff for compact dissipative dynamical systems. In: Buletinul Academiei de Ştiinţe a Republicii Moldova : Matematica. 2015, nr. 2(78), pp. 42-60