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Tsygvintsev, A. (2001) On the Existence of Polynomial First Integrals of Quadratic Homogeneous Systems of Ordinary Differential Equations. Journal of Physics A: Mathematical and General, 34, 2185-2193.
https://doi.org/10.1088/0305-4470/34/11/311

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.