Integrability of Hamiltonian Systems with Two Degrees of Freedom and Homogenous Potential of Degree Zero - Journal of Applied Mathematics and Physics

JAMP > Vol.6 No.11, November 2018

Journal of Applied Mathematics and Physics

Volume 6, Issue 11 (November 2018)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 1.00 Citations

Integrability of Hamiltonian Systems with Two Degrees of Freedom and Homogenous Potential of Degree Zero ()

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DOI: 10.4236/jamp.2018.611184 1,015 Downloads 1,960 Views Citations

Author(s)

Jaume Llibre¹, Claudia Valls²

Affiliation(s)

¹Departament de Matemàtiques, Universitat Autònoma de Barcelona, Barcelona, Spain.
²Departamento de Matemática, Instituto Superior Técnico, Universidade de Lisboa, Lisboa, Portugal.

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.

KEYWORDS

Hamiltonian System, Liouville Integrability, Darboux Points, Homogeneous Potentials of Degree Zero

Share and Cite:

Llibre, J. and Valls, C. (2018) Integrability of Hamiltonian Systems with Two Degrees of Freedom and Homogenous Potential of Degree Zero. Journal of Applied Mathematics and Physics, 6, 2192-2201. doi: 10.4236/jamp.2018.611184.

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