Hyperbolicity of renormalization of circle maps with a break-type\n singularity

2013/12/15 by Konstantin Khanin, Khanin, Konstantin, Michael Yampolsky +1
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Advanced Differential Equations and Dynamical Systems

paper · pdf · doi:10.48550/arxiv.1312.4184

Abstract

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

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