Relation between Levinson center, chain recurrent set and center of Birkhoff for compact dissipative dynamical systems
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2015), pp. 42-60
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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.
@article{BASM_2015_2_a4,
author = {David Cheban},
title = {Relation between {Levinson} center, chain recurrent set and center of {Birkhoff} for compact dissipative dynamical systems},
journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
pages = {42--60},
publisher = {mathdoc},
number = {2},
year = {2015},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASM_2015_2_a4/}
}
TY - JOUR AU - David Cheban TI - Relation between Levinson center, chain recurrent set and center of Birkhoff for compact dissipative dynamical systems JO - Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica PY - 2015 SP - 42 EP - 60 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/BASM_2015_2_a4/ LA - en ID - BASM_2015_2_a4 ER -
%0 Journal Article %A David Cheban %T Relation between Levinson center, chain recurrent set and center of Birkhoff for compact dissipative dynamical systems %J Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica %D 2015 %P 42-60 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/BASM_2015_2_a4/ %G en %F BASM_2015_2_a4
David Cheban. Relation between Levinson center, chain recurrent set and center of Birkhoff for compact dissipative dynamical systems. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2015), pp. 42-60. http://geodesic.mathdoc.fr/item/BASM_2015_2_a4/