Abstract
New elementary, self-contained proofs are presented for the topological and the smooth classification theorems of linear flows on finite-dimensional normed spaces. The arguments, and the examples that accompany them, highlight the fundamental roles of linearity and smoothness more clearly than does the existing literature.
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Acknowledgements
The first author was partially supported by an Nserc Discovery Grant. The authors gratefully acknowledge helpful comments and suggestions made by C. Kawan, T. Oertel-Jäger, G. Peschke, C. Pötzsche, and V. Troitsky.
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Berger, A., Wynne, A. On the Classification of Finite-Dimensional Linear Flows. J Dyn Diff Equat 32, 23–59 (2020). https://doi.org/10.1007/s10884-018-9717-4
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DOI: https://doi.org/10.1007/s10884-018-9717-4