Maciejewski, A.J. and Przybylska, M. (2005) Darboux Points and Integrability of Hamiltonian Systems with Homogeneous Polynomial Potential. Journal of Mathematical Physics, 46, Article ID: 062901.

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.