Darboux integrability of 2-dimensional Hamiltonian systems with homogenous potentials of degree 3
Journal Article
·
· Journal of Mathematical Physics
- Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia (Spain)
- Departamento de Matemática, Instituto Superior Técnico, Universidade Técnica de Lisboa, Av. Rovisco Pais 1049-001, Lisboa (Portugal)
We provide a characterization of all Hamiltonian systems of the form H=(p{sub 1}{sup 2}+p{sub 2}{sup 2})/2+V(q{sub 1},q{sub 2}), where V is a homogenous polynomial of degree 3 which are completely integrable with Darboux first integrals.
- OSTI ID:
- 22251037
- Journal Information:
- Journal of Mathematical Physics, Vol. 55, Issue 3; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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