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.