Darboux, G. (1878) Mémoire sur les équations différentielles du premier ordre et du premier degreé (Mélanges). Bulletin des Sciences Mathématiques, 2, 60-96, 123-144, 151-200.
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.