Darboux integrability of polynomial differential systems in R^3
In this article we study the Darboux integrability of the polynomial differential systems x˙ = y - x2, y˙ = z - x, z˙ = -d - ax - by - cz. This system comes from the study of a Hopf bifurcation in slow-fast systems with two slow variables and one fast variable. The tools used here for studying the D...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150588 |
| Acceso en línea: | https://ddd.uab.cat/record/150588 |
| Access Level: | acceso abierto |
| Palabra clave: | Darboux integrability Invariants Darboux polynomial |
| Sumario: | In this article we study the Darboux integrability of the polynomial differential systems x˙ = y - x2, y˙ = z - x, z˙ = -d - ax - by - cz. This system comes from the study of a Hopf bifurcation in slow-fast systems with two slow variables and one fast variable. The tools used here for studying the Darboux integrability can be applied to arbitrary polynomial differential systems in R3. |
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