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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     author = {V. S. Samovol},
     title = {Smooth {Equivalence} and {Linearization} of {Reversible} {Systems}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {96--108},
     publisher = {mathdoc},
     volume = {70},
     number = {1},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2001_70_1_a11/}
}
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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/