Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields
We completely characterize the global phase portraits in the Poincaré disk for all planar Hamiltonian vector fields with linear plus cubic homogeneous terms having a nilpotent saddle at the origin.
| Authors: | ; |
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| Format: | Article |
| Publication date: | 2022 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:257113 |
| Online Access: | https://ddd.uab.cat/record/257113 https://dx.doi.org/urn:doi:10.1016/j.nonrwa.2021.103451 |
| Access Level: | Open access |
| Keyword: | Polynomial Hamiltonian systems Nilpotent saddle Phase portrait Poincaré compactification |
| Summary: | We completely characterize the global phase portraits in the Poincaré disk for all planar Hamiltonian vector fields with linear plus cubic homogeneous terms having a nilpotent saddle at the origin. |
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