Constructing center-stable tori
Andy Hammerlindl
School of Mathematical Sciences, Monash University, Victoria 3800, Australia
Abstract
We show that certain derived-from-Anosov diffeomorphisms on the 2-torus may be realized as the dynamics on a center-stable or center-unstable torus of a 3-dimensional strongly partially hyperbolic system. We also construct examples of center-stable and center-unstable tori in higher dimensions.
Cite this article
Andy Hammerlindl, Constructing center-stable tori. Ann. Inst. H. Poincaré Anal. Non Linéaire 35 (2018), no. 3, pp. 713–728
DOI 10.1016/J.ANIHPC.2017.07.005