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math.DS2012★ 27 cited
A note on algebraic potentials and Morales-Ramis theory
Thierry Combot
We present various properties of algebraic potentials, and then prove that some Morales-Ramis theorems readily apply for such potentials even if they are not in general meromorphic…
math.DS2012★ 3 cited
Non integrability of a self-gravitating Riemann liquid ellipsoid
Thierry Combot
We prove that the motion of a triaxial Riemann ellipsoid of homogeneous liquid without angular momentum does not possess an additional first integral which is meromorphic in positi…