Geodesic
Brachistochrone with linear viscous friction
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2015), pp. 65-69 
A. V. Zarodnyuk; O. Yu. Cherkasov. Brachistochrone with linear viscous friction. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2015), pp. 65-69. http://geodesic.mathdoc.fr/item/VMUMM_2015_3_a12/
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     author = {A. V. Zarodnyuk and O. Yu. Cherkasov},
     title = {Brachistochrone with linear viscous friction},
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     url = {http://geodesic.mathdoc.fr/item/VMUMM_2015_3_a12/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A brachistochrone problem is considered for a medium with linear drag. The optimal control problem is reduced to a boundary value problem for a system of two nonlinear differential equations. The trajectories of this system are qualitatively analyzed, their typical features are found and verified by solving the boundary value problem numerically.

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