Asymptotic Development of an Integral Operator and Boundedness of the Criticality of Potential Centers
We study the asymptotic development at infinity of an integral operator. We use this development to give sufficient conditions to upper bound the number of critical periodic orbits that bifurcate from the outer boundary of the period function of planar potential centers. We apply the main results to...
| Autor: | |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:204400 |
| Acceso en línea: | https://ddd.uab.cat/record/204400 https://dx.doi.org/urn:doi:10.1007/s10884-019-09753-2 |
| Access Level: | acceso abierto |
| Palabra clave: | Center Period function Critical periodic orbit Bifurcation Criticality |
| Sumario: | We study the asymptotic development at infinity of an integral operator. We use this development to give sufficient conditions to upper bound the number of critical periodic orbits that bifurcate from the outer boundary of the period function of planar potential centers. We apply the main results to two different families: the power-like potential family x¨ = x - x , p, q∈ R, p. |
|---|