Phase portraits of quadratic Lotka-Volterra systems with a Darboux invariant in the Poincaré disc
| Autor: | Jaume Llibre, Claudia Valls, Yudy Bolaños |
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| Rok vydání: | 2021 |
| Předmět: |
Quadratic Lotka-Volterra systems
Pure mathematics Phase portrait Poincaré compactification Applied Mathematics General Mathematics Poincaré disk model Astronomy Quadratic function Darboux integral Differential systems symbols.namesake Nonlinear Sciences::Exactly Solvable and Integrable Systems Quadratic equation Poincaré conjecture Poincaré disk symbols Quantitative Biology::Populations and Evolution Invariant (mathematics) Darboux invariant Mathematics |
| Zdroj: | Recercat: Dipósit de la Recerca de Catalunya Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) Recercat. Dipósit de la Recerca de Catalunya instname Dipòsit Digital de Documents de la UAB Universitat Autònoma de Barcelona |
| Popis: | Agraïments: The third author is supported by the grants AGAUR PIV-DGR-2010 and by FCT through the project PTDC/MAT/ 117106/2010 and through CAMGD, Lisbon. We characterize the global phase portraits in the Poincaré disc of all the planar Lotka-Volterra quadratic polynomial differential systems having a Darboux invariant. |
| Databáze: | OpenAIRE |
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