© EDP Sciences, SMAI 2016. We consider differential systems obtained by coupling two Euler-Poinsot systems. The motivation to consider such systems can be traced back to the Riemann ellipsoid problem. We provide new cases for which these systems are completely integrable. We also prove that these systems either are completely integrable or have at most four functionally independent analytic first integrals.
|Journal||ESAIM - Control, Optimisation and Calculus of Variations|
|Publication status||Published - 1 Jul 2016|
- Complete integrability
- Euler-Poinsot systems
- Homogeneous differential systems
- Polynomial first integrals
- Riemann ellipsoid problem