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Integrability of 3-dim polynomial systems with three invariant planes |
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| Authors: | Zhaoping Hu Maira Aldazharova Tamasha M. Aldibekov Valery G. Romanovski |
| Affiliation: | 1. Department of Mathematics, Shanghai University, Shanghai, 200444, P.R. China 2. Al-Farabi Kazakh National University, Al-Farabi Av. 71, Almaty, Kazakhstan 3. Center for Applied Mathematics and Theoretical Physics and Faculty of Natural Science and Mathematics, University of Maribor, 2000, Maribor, Slovenia |
| Abstract: | We investigate the problem of integrability for a family of three-dimensional autonomous polynomial systems of ODEs. Necessary and sufficient conditions for the existence of two independent analytic first integrals for systems of the family are given. The linearizability of the systems is studied as well. |
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