Partial differentiability of invariant splittings
Dynamical Systems
2007-05-23 v1
Abstract
A key feature of a general nonlinear partially hyperbolic dynamical system is the absence of differentiability of its invariant splitting. In this paper, we show that often partial derivatives of the splitting exist and the splitting depends smoothly on the dynamical system itself.
Cite
@article{arxiv.math/0210220,
title = {Partial differentiability of invariant splittings},
author = {Charles Pugh and Michael Shub and Amie Wilkinson},
journal= {arXiv preprint arXiv:math/0210220},
year = {2007}
}
Comments
22 pages