Geodesic
Integrable cubic ODEs on free associative algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 3, pp. 705-720 
O. V. Efimovskaya. Integrable cubic ODEs on free associative algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 3, pp. 705-720. http://geodesic.mathdoc.fr/item/FPM_2002_8_3_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

ODEs with respect to two unknown functions belonging to the free associative algebra are considered. A complete classification of such equations possessing linear first integrals and at least one cubic infinitesimal symmetry is performed. Equations of arbitrary degree such that a trace of any polynomial is a first integral are investigated.

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