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Список литературы
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Lachand-Robert, Th. and Oudet, É., “Minimizing within Convex Bodies Using a Convex Hull Method”, SIAM J. Optim., 16:2 (2005), 368–379 |
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Plakhov, A., “A Solution to Newton's Least Resistance Problem Is Uniquely Defined by Its Singular Set”, Calc. Var. Partial Differential Equations, 61:5 (2022), 189, 37 pp. |
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Plakhov, A. and Tchemisova, T., “Problems of Optimal Transportation on the Circle and Their Mechanical Applications”, J. Differential Equations, 262:3 (2017), 2449–2492 |
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Plakhov, A., “Billiards and Two-Dimensional Problems of Optimal Resistance”, Arch. Ration. Mech. Anal., 194:2 (2009), 349–381 |
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Plakhov, A., Tchemisova, T., and Gouveia, P., “Spinning Rough Disc Moving in a Rarefied Medium”, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 466:2119 (2010), 2033–2055 |
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Kryzhevich, S., “Motion of a Rough Disc in Newtonian Aerodynamics”, EmC-ONS 2014: Optimization in the Natural Sciences, Commun. Comput. Inf. Sci., 499, eds. A. Plakhov, T. Tchemisova, A. Freitas, Springer, Cham, 2015, 3–19 |
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Rudzis, P., Rough Collisions, 2022, 145 pp., arXiv: 2203.09102 [math.DS] |
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Kryzhevich, S. and Plakhov, A., “Billiard in a Rotating Half-Plane”, J. Dyn. Control Syst., 29:4 (2023), 1695–1707 |
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Kryzhevich, S. and Plakhov, A., “Rotating Rod and Ball”, J. Math. Anal. Appl., 2024 (to appear) |
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Shakhov, E. M., “The Oscillations of a Satellite Probe Towed on an Inextensible Line in an Inhomogeneous Atmosphere”, J. Appl. Math. Mech., 52:4 (1988), 440–444 ; Prikl. Mat. Mekh., 52:4 (1988), 567–572 (Russian) |
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Zhuk, V. I. and Shakhov, E. M., “Oscillations of a Tethered Satellite of Small Mass under the Effect of Aerodynamic and Gravitational Forces”, Kosmicheskie Issledovaniya, 28:6 (1990), 820–830 (Russian) |
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Lokshin, B. Ya., Samsonov, V. A., and Shamolin, M. V., “Pendulum Systems with Dynamical Symmetry”, J. Math. Sci. (N.Y.), 227:4 (2017), 461–519 |
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Rybnikova, T. A. and Treshchev, D. V., “Existence of Invariant Tori in the Problem of the Motion of a Satellite with a Solar Sail”, Kosmicheskie Issledovaniya, 28:2 (1990), 309–312 (Russian) |