Home > Articles > Published articles > Darboux integrability of polynomial differential systems in R^3 |
Date: | 2013 |
Abstract: | 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. |
Grants: | Ministerio de Ciencia e Innovación MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 |
Note: | Agraïments/Ajudes: The second author is supported by AGAUR grant PIV-DGR-2010 and by FCT through CAMGDS, Lisbon. |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | Darboux integrability ; Invariants ; Darboux polynomial |
Published in: | Bulletin of the Belgian Mathematical Society. Simon Stevin, Vol. 20 (2013) , p. 603-619, ISSN 1370-1444 |
Postprint 16 p, 744.9 KB |