Ergodic Theory and Dynamical Systems

Research Article

Non-existence of wandering intervals and structure of topological attractors of one dimensional dynamical systems 2. The smooth case

A. M. Blokha1 and M. Yu. Lyubicha1

a1 Steklov Mathematical Institute (Leningrad Department) Fontanka 27, 191011, Leningrad, USSR

Abstract

We prove that an arbitrary one dimensional smooth dynamical system with non-degenerate critical points has no wandering intervals.

(Received March 15 1988)

(Revised September 29 1988)