Geodesic
On brachistochronic motions of non-conservative dynamical systems
Theoretical and applied mechanics, Tome 7 (1981) no. 1, p. 41 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The differential equations of the brachistochronic motion of non-conservative dynamical systems are deduced as well as the expression of the controlling forces which determine such motion. 
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Vukman M. Čović; Mirjana M. Lukačcvić. On brachistochronic motions of non-conservative dynamical systems. Theoretical and applied mechanics, Tome 7 (1981) no. 1, p. 41 . http://geodesic.mathdoc.fr/item/TAM_1981_7_1_a4/