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.
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     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},
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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/