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Yoshida, H. (1983) Necessary Conditions for Existence of Algebraic First Integrals I and II. Celestial Mechanics, 31, 363-379, 381-399.
https://doi.org/10.1007/BF01230292

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.