A Spectral Dichotomy Version of the Nonautonomous Markus--Yamabe Conjecture
Dynamical Systems
2018-03-13 v1
Abstract
In this article we introduce a nonautonomous version of the Markus--Yamabe conjecture from an exponential dichotomy spectrum point of view. We prove the validity of this conjecture for the scalar and triangular case. Additionally we show that the origin is a global attractor for an autonomous system by using nonautonomous dynamical systems tools.
Keywords
Cite
@article{arxiv.1803.04281,
title = {A Spectral Dichotomy Version of the Nonautonomous Markus--Yamabe Conjecture},
author = {Álvaro Castañeda and Gonzalo Robledo},
journal= {arXiv preprint arXiv:1803.04281},
year = {2018}
}