Geodesic
On brachistochronic motions of non-conservative dynamical systems
Theoretical and applied mechanics, Tome 7 (1981) no. 1, p. 41 
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/
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     author = {Vukman M. \v{C}ovi\'c and Mirjana M. Luka\v{c}cvi\'c},
     title = {On brachistochronic motions of non-conservative dynamical systems},
     journal = {Theoretical and applied mechanics},
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     year = {1981},
     volume = {7},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAM_1981_7_1_a4/}
}
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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.