Rotational entropy for annulus endomorphisms

Fernanda Maria Botelho

Vol. 151 (1991), No. 1, 1–19

DOI: 10.2140/pjm.1991.151.1

Abstract

We study how some dynamical properties on a homeomorphism of the annulus affects its rotation set. We also introduce a topological invariant, designated “rotational entropy”, that basically measures the rotational complexity of an annulus mapping.

Mathematical Subject Classification 2000

Primary: 58F11

Secondary: 54H20, 58F13

Milestones

Received: 13 April 1990

Revised: 7 November 1990

Published: 1 November 1991