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math.DS2009★ 14 cited
Integrability of natural Hamiltonian systems with homogeneous potentials of degree zero
Guy Casale, Guillaume Duval, Andrzej J. Maciejewski +1
We derive necessary conditions for integrability in the Liouville sense of natural Hamiltonian systems with homogeneous potential of degree zero. We derive these conditions through…
math.DS2009
Jordan obstruction to the integrability of Hamiltonian systems with homogeneous potentials
Guillaume Duval, Andrzej J. Maciejewski
In this paper, we consider the natural complex Hamiltonian systems with homogeneous potential , $q\in\C^n$, of degree . The known results of Morales and Ramis g…