Образец цитирования:
А. В. Борисов, И. С. Мамаев, “Гамильтоновость задачи Чаплыгина о качении шара”, Матем. заметки, 70:5 (2001), 793–795; Math. Notes, 70:5 (2001), 720–723
Paula Balseiro, Danilo Machado-Tereza, “Nonholonomic momentum map reduction and a Chaplygin-type foliation”, Nonlinearity, 38:5 (2025), 055006
Luis C. García-Naranjo, Juan C. Marrero, David Martín de Diego, Paolo E. Petit Valdés, “Almost-Poisson Brackets for Nonholonomic Systems with Gyroscopic Terms and Hamiltonisation”, J Nonlinear Sci, 34:6 (2024)
Е. А. Микишанина, “Неголономные механические системы на плоскости с переменным углом наклона”, Журнал СВМО, 25:4 (2023), 326–341
Evgeniya A. Mikishanina, “Dynamics of the generalized penny-model on the rotating plane”, Eur. Phys. J. B, 96 (2023), 15–8
Paula Balseiro, Maria Eugenia Garcia, Cora Inés Tori, Marcela Zuccalli, “Momentum map reduction for nonholonomic systems”, Nonlinearity, 36:10 (2023), 5401
Vladimir Dragović, Borislav Gajić, Božidar Jovanović, “Gyroscopic Chaplygin Systems and Integrable Magnetic Flows on Spheres”, J Nonlinear Sci, 33:3 (2023)
Balseiro P., Sansonetto N., “First Integrals and Symmetries of Nonholonomic Systems”, Arch. Ration. Mech. Anal., 244:2 (2022), 343–389
Yu. L. Karavaev, “Spherical Robots:
An Up-to-Date Overview of Designs and Features”, Rus. J. Nonlin. Dyn., 18:4 (2022), 709–750
Balseiro P., Yapu L.P., “Conserved Quantities and Hamiltonization of Nonholonomic Systems”, Ann. Inst. Henri Poincare-Anal. Non Lineaire, 38:1 (2021), 23–60
С. В. Соколов, “Памяти Алексея Владимировича Борисова”, Компьютерные исследования и моделирование, 13:1 (2021), 9–14
Alexey V. Borisov, Evgeniya A. Mikishanina, “Two Nonholonomic Chaotic Systems. Part II. On the Rolling of a Nonholonomic Bundle of Two Bodies”, Regul. Chaotic Dyn., 25:4 (2020), 392–400
Garcia-Naranjo L.C., Marrero J.C., “The Geometry of Nonholonomic Chaplygin Systems Revisited”, Nonlinearity, 33:3 (2020), 1297–1341
Vladimir Dragović, Borislav Gajić, Božidar Jovanović, “Demchenko's nonholonomic case of a gyroscopic ball rolling without sliding over a sphere after his 1923 Belgrade doctoral thesis”, Theor. Appl. Mech., 47:2 (2020), 257–287
А. И. Жила, “Топологические типы изоэнергетических поверхностей системы “шар Чаплыгина с ротором””, Вестн. Моск. ун-та. Сер. 1. Матем., мех., 2020, № 3, 52–56; A. I. Zhila, “Topological types of isoenergy surfaces in the system of the Chaplygin ball with a rotor”, Moscow University Mathematics Bulletin, 75:3 (2020), 134–138
Garcia-Naranjo L.C., “Generalisation of Chaplygin'S Reducing Multiplier Theorem With An Application to Multi-Dimensional Nonholonomic Dynamics”, J. Phys. A-Math. Theor., 52:20 (2019), 205203
Kurt M. Ehlers, Jair Koiller, “Cartan meets Chaplygin”, Theor. Appl. Mech., 46:1 (2019), 15–46
Luis C. García-Naranjo, “Hamiltonisation, measure preservation and first integrals of the multi-dimensional rubber Routh sphere”, Theor. Appl. Mech., 46:1 (2019), 65–88
Andrey V. Tsiganov, “Hamiltonization and Separation of Variables for a Chaplygin Ball on a Rotating Plane”, Regul. Chaotic Dyn., 24:2 (2019), 171–186
Luis C. García-Naranjo, “Integrability of the n-dimensional Axially Symmetric Chaplygin Sphere”, Regul. Chaotic Dyn., 24:5 (2019), 450–463
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “Different Models of Rolling for a Robot Ball on a Plane as a Generalization of the Chaplygin Ball Problem”, Regul. Chaotic Dyn., 24:5 (2019), 560–582