pith. sign in

arxiv: 1009.0485 · v4 · pith:E3UDZEBNnew · submitted 2010-09-02 · 🧮 math.DS

Examples of Minimal Diffeomorphisms on t² Semiconjugated to an Ergodic Translation

classification 🧮 math.DS
keywords diffeomorphismepsilonergodicexamplesminimalanosovchaosclass
0
0 comments X
read the original abstract

We prove that for every $\epsilon>0$ there exists a minimal diffeomorphism $f:\T^{2}\rightarrow\T^{2}$ of class $C^{3-\epsilon}$ and semiconjugate to an ergodic traslation, and have the following properties: zero entropy, sensitivity with respect to initial conditions and Li-Yorke chaos. These examples are obtained through the holonomy of the unstable foliation of Ma\~{n}\'e's example of derived from Anosov diffeomorphism on $\T^3.$

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.