Geodesic
Exponential map in the~generalized Dido problem
Sbornik. Mathematics, Tome 194 (2003) no. 9, pp. 1331-1359

Voir la notice de l'article provenant de la source Math-Net.Ru

The generalized Dido problem is stated as an optimal control problem in 5-dimensional space with 2-dimensional control and quadratic cost functional, which is a nilpotent sub-Riemannian problem with the growth vector (2, 3, 5). Extremals of this problem are parametrized by Jacobian elliptic functions. 
@article{SM_2003_194_9_a2,
     author = {Yu. L. Sachkov},
     title = {Exponential  map in the~generalized {Dido} problem},
     journal = {Sbornik. Mathematics},
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     volume = {194},
     number = {9},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2003_194_9_a2/}
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Yu. L. Sachkov. Exponential  map in the~generalized Dido problem. Sbornik. Mathematics, Tome 194 (2003) no. 9, pp. 1331-1359. http://geodesic.mathdoc.fr/item/SM_2003_194_9_a2/