On the integrability of the Hamiltonian systems with homogeneus polynomial potentials
We summarize the known results on the integrability of the complex Hamiltonian systems with two degrees of freedom defined by the Hamiltonian functions of the form H = 1/2 2 ∑ i=1 p2i + V (q1,q2), where V (q1,q2) are homogeneous polynomial potentials of degree k.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:222634 |
| Acceso en línea: | https://ddd.uab.cat/record/222634 https://dx.doi.org/urn:doi:10.2478/AMNS.2018.2.00041 |
| Access Level: | acceso abierto |
| Palabra clave: | Hamiltonian system with 2-degrees of freedom Homogeneous polynomial potential Integrability |
| Sumario: | We summarize the known results on the integrability of the complex Hamiltonian systems with two degrees of freedom defined by the Hamiltonian functions of the form H = 1/2 2 ∑ i=1 p2i + V (q1,q2), where V (q1,q2) are homogeneous polynomial potentials of degree k. |
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