Dichotomy results for delay differential equations with negative Schwarzian
Dynamical Systems
2012-04-26 v1 Classical Analysis and ODEs
Abstract
We gain further insight into the use of the Schwarzian derivative to obtain new results for a family of functional differential equations including the famous Wright's equation and the Mackey-Glass type delay differential equations. We present some dichotomy results, which allow us to get easily computable bounds of the global attractor. We also discuss related conjectures, and formulate new open problems.
Cite
@article{arxiv.0807.3452,
title = {Dichotomy results for delay differential equations with negative Schwarzian},
author = {Eduardo Liz and Gergely Röst},
journal= {arXiv preprint arXiv:0807.3452},
year = {2012}
}
Comments
16 pages, submitted to Chaos,Solitons,Fractals