G. Duval

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math.DS2013

Integrability of potentials of degree $k \neq = \pm 2$ . Second order variational equations between Kolchin solvability and Abelianity

Guillaume Duval, Andrzej J. Maciejewski

In our previous paper: Integrability of Homogeneous potentials of degree $k = \pm 2$ . An application of higher order variational equations, we tried to extract some particular stru…

math.DS2013

Integrability of Hamiltonian systems with homogeneous potentials of degrees $\pm 2$ . An application of higher order variational equations

Guillaume Duval, Andrzej J. Maciejewski

The present work is the first of a serie of two papers, in which we analyse the higher variational equations associated to natural Hamiltonian systems, in their attempt to give Gal…

Integrability of potentials of degree k=±2. Second order variational equations between Kolchin solvability and Abelianity

Integrability of Hamiltonian systems with homogeneous potentials of degrees ±2. An application of higher order variational equations

Integrability of potentials of degree $k \neq = \pm 2$ . Second order variational equations between Kolchin solvability and Abelianity

Integrability of Hamiltonian systems with homogeneous potentials of degrees $\pm 2$ . An application of higher order variational equations