Invariant measure in the problem of a symmetrical ball rolling on a surface |
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| Affiliation: | Moscow, Russia;Moscow, Russia;Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine, Donetsk, Ukraine;Dorodnicyn Computing Centre of the Russian Academy of Sciences, Moscow, Russia;Institute for Precision Mechanics and Control Problems Russ. Acad. of Sci., Saratov, Russia;St Petersburg, Russia;Lomonosov Moscow University, Moscow, Russia |
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| Abstract: | The problem of a symmetrical ball, rolling without slip on a fixed surface, is considered, along with some generalizations. It is proved that, under fairly general assumptions as to the nature of the external forces. the system admits of a smooth invariant measure. |
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