Title: Exponential map in the generalized Dido problem
Authors: Yu.L. Sachkov
Journal title: Sbornik: Mathematics
Yu. L. Sachkov, Exponential map in the generalized Dido problem, Sbornik: Mathematics, 2003, 194:9, 1331–1359
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.
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