Centers of quasi-homogeneous polynomial differential equations of degree three
We characterize the centers of the quasi-homogeneous planar polynomial differential systems of degree three. Such systems do not admit isochronous centers. At most one limit cycle can bifurcate from the periodic orbits of a center of a cubic homogeneous polynomial system using the averaging theory o...
| Authors: | , , |
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| Format: | article |
| Publication Date: | 2014 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:150718 |
| Online Access: | https://ddd.uab.cat/record/150718 https://dx.doi.org/urn:doi:10.1016/j.aim.2013.12.006 |
| Access Level: | Open access |
| Keyword: | Quasi-homogeneous polynomial systems Centers Limit cycles |
| Summary: | We characterize the centers of the quasi-homogeneous planar polynomial differential systems of degree three. Such systems do not admit isochronous centers. At most one limit cycle can bifurcate from the periodic orbits of a center of a cubic homogeneous polynomial system using the averaging theory of first order. |
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