Phase portraits of the quadratic polynomial Liénard differential systems
We classify the global phase portraits in the Poincaré disc of the quadratic polynomial Liénard differential systems ˙ x = y, ˙ y = (ax + b)y + cx2 + dx + e, where (x,y) ∈R2 are the variables and a,b,c,d,e are real parameters.
| Authors: | , , |
|---|---|
| Format: | article |
| Publication Date: | 2020 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:221323 |
| Online Access: | https://ddd.uab.cat/record/221323 https://dx.doi.org/urn:doi:10.1017/prm.2020.10 |
| Access Level: | Open access |
| Keyword: | Quadratic system Liénard system Poincaré compactification Global phase portraits |
| Summary: | We classify the global phase portraits in the Poincaré disc of the quadratic polynomial Liénard differential systems ˙ x = y, ˙ y = (ax + b)y + cx2 + dx + e, where (x,y) ∈R2 are the variables and a,b,c,d,e are real parameters. |
|---|