| Autor: |
Bizyaev, Ivan A., Borisov, Alexey V., Mamaev, Ivan S. |
| Rok vydání: |
2018 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| DOI: |
10.1134/S1061920818040027 |
| Popis: |
This paper addresses the problem of the Chaplygin ball rolling on a horizontal plane which rotates with constant angular velocity. In this case, the equations of motion admit area integrals, an integral of squared angular momentum and the Jacobi integral, which is a generalization of the energy integral, and possess an invariant measure. After reduction the problem reduces to investigating a three-dimensional Poincare map that preserves phase volume (with density defined by the invariant measure). We show that in the general case the system's dynamics is chaotic. |
| Databáze: |
arXiv |
| Externí odkaz: |
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