Geodesic
Smooth Equivalence and Linearization of Reversible Systems
Matematičeskie zametki, Tome 70 (2001) no. 1, pp. 96-108.

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For reversible systems of ordinary differential equations, we consider the problems of local smooth equivalence and local smooth linearization by transformations preserving the corresponding linear automorphisms of these systems. 
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V. S. Samovol. Smooth Equivalence and Linearization of Reversible Systems. Matematičeskie zametki, Tome 70 (2001) no. 1, pp. 96-108. http://geodesic.mathdoc.fr/item/MZM_2001_70_1_a11/

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