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Morales Ruiz, J.J. (1999) Differential Galois Theory and Non-Integrability of Hamiltonian Systems. Progress in Mathematics, Vol. 179, Birkhauser Verlag, Basel.
https://doi.org/10.1007/978-3-0348-0723-4

has been cited by the following article:

• TITLE: Integrability of Hamiltonian Systems with Two Degrees of Freedom and Homogenous Potential of Degree Zero

  AUTHORS: Jaume Llibre, Claudia Valls

  KEYWORDS: Hamiltonian System, Liouville Integrability, Darboux Points, Homogeneous Potentials of Degree Zero

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.11, November 12, 2018

  ABSTRACT: We provide necessary conditions in order that the Hamiltonian systems with Hamiltonian ,and one of the following potentials are integrable in the Liouville sense.