Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields
We completely characterize the global phase portraits in the Poincaré disk for all planar Hamiltonian vector fields with linear plus cubic homogeneous terms having a nilpotent saddle at the origin.
| Autores: | ; |
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| Tipo de documento: | Artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Lenguaje: | Inglés |
| OAI Identifier: | oai:ddd.uab.cat:257113 |
| Acceso en línea: | https://ddd.uab.cat/record/257113 https://dx.doi.org/urn:doi:10.1016/j.nonrwa.2021.103451 |
| Nivel de acceso: | Acceso abierto |
| Palabra clave: | Polynomial Hamiltonian systems Nilpotent saddle Phase portrait Poincaré compactification |
| Sumario: | We completely characterize the global phase portraits in the Poincaré disk for all planar Hamiltonian vector fields with linear plus cubic homogeneous terms having a nilpotent saddle at the origin. |
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