S. V. Bolotin, T. V. Popova, “On the Motion of a Mechanical System Inside a Rolling Ball”, Regul. Chaotic Dyn., 2013, том 18, выпуск 1-2,страницы 159

Эта публикация цитируется в 12 статьях

On the Motion of a Mechanical System Inside a Rolling Ball

S. V. Bolotin^ab, T. V. Popova^c

^a University of Wisconsin–Madison, 480 Lincoln Dr., Madison, WI 53706-1325, USA
^b V. A. Steklov Mathematical Institute of Russian Academy of Sciences, Gubkina 8, Moscow, 119991 Russia
^c M. V. Lomonosov Moscow State University, Leninskie Gory 1, Moscow, 119991 Russia

Аннотация: We consider a mechanical system inside a rolling ball and show that if the constraints have spherical symmetry, the equations of motion have Lagrangian form. Without symmetry, this is not true.

Ключевые слова: nonholonomic constraint, rolling ball, Lagrange equations, Hamilton principle.

MSC: 37J60, 70H03, 70E18

Поступила в редакцию: 12.12.2012
Принята в печать: 16.01.2013

Язык публикации: английский

DOI: 10.1134/S1560354713010115