Phase portrait of Hamiltonian systems with homogeneous nonlinearities
The main goal of this work is to describe the phase portarit of Hamiltonian systems with a non degenerate center at the origin and homogeneous nonlinearities of arbitrary degree n. We apply our results to the case n=2 to re-obtain the bifurcation diagram of all the quadratic Hamiltonian vector field...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1999 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/772 |
| Acceso en línea: | https://hdl.handle.net/2117/772 |
| Access Level: | acceso abierto |
| Palabra clave: | Bifurcation theory Differential equations bifurcations Hamiltonian system Phase portrait period annulus Equacions diferencials ordinàries Classificació AMS::34 Ordinary differential equations::34C Qualitative theory Classificació AMS::37 Dynamical systems and ergodic theory::37G Local and nonlocal bifurcation theory |
| Sumario: | The main goal of this work is to describe the phase portarit of Hamiltonian systems with a non degenerate center at the origin and homogeneous nonlinearities of arbitrary degree n. We apply our results to the case n=2 to re-obtain the bifurcation diagram of all the quadratic Hamiltonian vector fields with a centre at the origin, as well as to the case n=3. |
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