New integrable problems in a rigid body dynamics with cubic integral in velocities
We introduce a new family of the 2D integrable mechanical system possessing an additional integral of the third degree in velocities. This system contains 20 arbitrary parameters. We also clarify that the majority of the previous systems with a cubic integral can be reconstructed from it as a specia...
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| Format: | Article |
| Language: | English |
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Elsevier
2018-03-01
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| Series: | Results in Physics |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S221137971731834X |