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arXiv · 1803.04281

A Spectral Dichotomy Version of the Nonautonomous Markus--Yamabe Conjecture

Álvaro Castañeda·Gonzalo Robledo
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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.

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Álvaro Castañeda, Gonzalo Robledo. 2018-03-12. A Spectral Dichotomy Version of the Nonautonomous Markus--Yamabe Conjecture. https://arxiv.org/abs/1803.04281

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