Limit cycles bifurcating from planar polynomial quasi--homogeneous centers
In this paper we find an upper bound for the maximum number of limit cycles bifurcating from the periodic orbits of any planar polynomial quasi-homogeneous center, which can be obtained using first order averaging method. This result improves the upper bounds given in [7].
| Authors: | , , |
|---|---|
| Format: | article |
| Status: | Versión aceptada para publicación |
| Publication Date: | 2015 |
| Country: | España |
| Institution: | Universitat de Lleida (UdL) |
| Repository: | Repositori Obert UdL |
| OAI Identifier: | oai:repositori.udl.cat:10459.1/49438 |
| Online Access: | https://doi.org/10.1016/j.jde.2015.08.014 http://hdl.handle.net/10459.1/49438 |
| Access Level: | Open access |
| Keyword: | Quasi-homogeneous polynomial differential equations Bifurcation of limit cycles Quasi-homogeneous centers Equacions diferencials ordinàries |
| Summary: | In this paper we find an upper bound for the maximum number of limit cycles bifurcating from the periodic orbits of any planar polynomial quasi-homogeneous center, which can be obtained using first order averaging method. This result improves the upper bounds given in [7]. |
|---|