Ergodic Theory and Dynamical Systems

Research Article

A method for constructing attractors

Marcy Bargea1

a1 Department of Mathematical Sciences, Montana State University, Bozeman, Montana 59717, USA

Abstract

A procedure is developed for constructing C1 diffeomorphisms of the two sphere having inverse limits of certain interval maps as attractors. The method is carried out for a particular interval map yielding a diffeomorphism with a transitive non-hyperbolic attractor.

(Received July 15 1986)

(Revised July 10 1987)