The easiest polynomial differential systems in R^3 having an invariant cylinder
This paper answers the following two questions: What are the easiest polynomial differential systems in R3 having an invariant hyperbolic, parabolic or elliptic cylinder?, and for such polynomial differential systems what are their phase portraits on such invariant cylinders?
| Authors: | ; |
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| Format: | Article |
| Publication date: | 2025 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:312860 |
| Online Access: | https://ddd.uab.cat/record/312860 https://dx.doi.org/urn:doi:10.17398/2605-5686.40.1.121 |
| Access Level: | Open access |
| Keyword: | Polynomial differential systems in R3 Hyperbolic cylinder Parabolic cylinder Elliptic cylinder |
| Summary: | This paper answers the following two questions: What are the easiest polynomial differential systems in R3 having an invariant hyperbolic, parabolic or elliptic cylinder?, and for such polynomial differential systems what are their phase portraits on such invariant cylinders? |
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