Moscow Mathematical Journal

Volume 15, Issue 1, January–March 2015 pp. 107–121.

Hyperbolicity of Renormalization of Circle Maps with a Break-Type Singularity

Authors: K. Khanin and M. Yampolsky
Author institution:Mathematics Department, University of Toronto, 40 St George Street, Toronto, Ontario, M5S2E4, Canada

Summary:

We study the renormalization operator of circle homeomorphisms with a break point and show that it possesses a hyperbolic horseshoe attractor.

2010 Math. Subj. Class. Primary: 37E20; Secondary: 37E10.

Keywords: Renormalization, universality, circle map with a break point.

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