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

Published 12 Mar 2018 in math.DS | (1803.04281v1)

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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