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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.DS2008★ 19 cited
Dynamics of rational symplectic mappings and difference Galois theory
Guy Casale, Julien Roques
In this paper we study the relationship between the integrability of rational symplectic maps and difference Galois theory. We present a Galoisian condition, of Morales-Ramis type,…