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math.DS2020★ 5 cited
Demchenko's nonholonomic case of gyroscopic ball rolling without sliding over a sphere after his 1923 Belgrade doctoral thesis
Vladimir Dragovic, Borislav Gajic, Bozidar Jovanovic
We present an integrable nonholonomic case of rolling without sliding of a gyroscopic ball over a sphere. This case was introduced and studied in detail by Vasilije Demchenko in hi…
math.DS2009★ 7 cited
Systems of Hess-Appel'rot Type and Zhukovskii Property
Vladimir Dragovic, Borislav Gajic, Bozidar Jovanovic
We start with a review of a class of systems with invariant relations, so called {\it systems of Hess--Appel'rot type} that generalizes the classical Hess--Appel'rot rigid body cas…