Existence of C^{K}-invariant foliations for Lorenz type maps
Dynamical Systems
2020-01-22 v4
Abstract
In this paper under similar conditions to that Shaskov and Shil'nikov [1994] we show that a C^{k+1} Lorenz-type map T has a C^{k} foliation which is invariant under T. This allows us to associate T to a C^{k} one-dimensional transformation.
Keywords
Cite
@article{arxiv.1501.05692,
title = {Existence of C^{K}-invariant foliations for Lorenz type maps},
author = {Daniel Smania and José Vidarte},
journal= {arXiv preprint arXiv:1501.05692},
year = {2020}
}
Comments
33 pages and 3 figures