Hyperbolicity of Renormalization for bi-cubic circle maps with bounded combinatorics
Gabriela Estevez, Michael Yampolsky
TL;DR
This paper constructs a hyperbolic attractor for the renormalization operator applied to bi-cubic circle maps with bounded combinatorics, revealing complex dynamical structures.
Contribution
It introduces a hyperbolic attractor with a codimension-two stable foliation for the renormalization of bi-cubic circle maps, advancing understanding of their dynamical behavior.
Findings
Existence of a hyperbolic attractor for the renormalization operator
Stable foliation of codimension two
Application to bi-cubic circle maps with bounded combinatorics
Abstract
We construct a hyperbolic attractor of renormalization of bi-cubic circle maps with bounded combinatorics, with a codimension-two stable foliation.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Dynamics and Fractals · Geometric and Algebraic Topology · Stochastic processes and statistical mechanics