Integrable 2D Time-Irreversible Systems with a Cubic Second Integral

We construct a very rare integrable 2D mechanical system which admits a complementary integral of motion cubic in the velocities in the presence of conservative potential and velocity-dependent (gyroscopic) forces. Special cases are given interpretation as a motion of a particle on a sphere endowed...

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Bibliographic Details
Main Authors: H. M. Yehia, A. A. Elmandouh
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2016/8958747
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