Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers
We provide normal forms and the global phase portraits in the Poincaré disk for all Hamiltonian planar polynomial vector fields of degree 3 symmetric with respect to the x-axis having a nilpotent center at the origin.
| Authors: | , , |
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| Format: | article |
| Publication Date: | 2018 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:199358 |
| Online Access: | https://ddd.uab.cat/record/199358 https://dx.doi.org/urn:doi:10.1016/j.matcom.2017.06.002 |
| Access Level: | Open access |
| Keyword: | Nilpotent center Phase portrait Poincaré compactification Polynomial Hamiltonian systems |
| Summary: | We provide normal forms and the global phase portraits in the Poincaré disk for all Hamiltonian planar polynomial vector fields of degree 3 symmetric with respect to the x-axis having a nilpotent center at the origin. |
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