On the Bifurcation of Limit Cycles Due to Polynomial Perturbations of Hamiltonian Centers
We study the number of limit cycles bifurcating from the peri- od annulus of a real planar polynomial Hamiltonian ordinary differential system with a center at the origin when it is perturbed in the class of polynomial vector fields of a given degree.
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:182528 |
| Acceso en línea: | https://ddd.uab.cat/record/182528 https://dx.doi.org/urn:doi:10.1007/s00009-017-0857-2 |
| Access Level: | acceso abierto |
| Palabra clave: | Center Hamiltonian system Limit cycle Melnikov function Ordinary differential system Planar system Polynomial system |
| Sumario: | We study the number of limit cycles bifurcating from the peri- od annulus of a real planar polynomial Hamiltonian ordinary differential system with a center at the origin when it is perturbed in the class of polynomial vector fields of a given degree. |
|---|