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.