The Ball-Box Theorem for a Class of Corank 1 Non-differentiable Tangent Subbundles

J Dyn Control Syst. 2018;24(4):681-699. doi: 10.1007/s10883-018-9400-4. Epub 2018 May 4.

Abstract

We show that an analogue of the ball-box theorem holds true for a class of corank 1, non-differentiable tangent subbundles that satisfy a geometric condition. We also we give examples of such bundles and give an application to dynamical systems.

Keywords: Ball-box theorem; Dynamical systems; Non-differentiable bundles; Sub-Riemannian geometry.