RELATION BETWEEN LEVINSON CENTER, CHAIN RECURRENT SET AND CENTER OF BIRKHOFF FOR COMPACT DISSIPATIVE DYNAMICAL SYSTEMS

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.