A spectral dichotomy version of the nonautonomous Markus-Yamabe conjecture (Q2293695)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A spectral dichotomy version of the nonautonomous Markus-Yamabe conjecture |
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A spectral dichotomy version of the nonautonomous Markus-Yamabe conjecture (English)
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5 February 2020
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In this paper, the authors generalize the Markus-Yamabe conjecture to the nonautonomous case. They consider the property of exponential dichotomy which can be seen as the generalization of the hyperbolicity that allows the construction of a nonautonomous spectral theory. Additionally they show that the origin is a global attractor for an autonomous system by using nonautonomous dynamical systems tools.
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linear nonautonomous differential equations
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Sacker-Sell spectrum
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Markus-Yamabe problem
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