2026-04-17T11:39:55Zhttps://recercat.cat/oai/request

oai:recercat.cat:2072/4106412025-06-23T02:46:47Zcom_2072_98col_2072_378192

00925njm 22002777a 4500 dc Lima, Mauricio Firmino Silva author Llibre, Jaume author 2014 Agraïments: The first author was partially supported by CNPq grant number 200293/2010-9 and Fapesp grant number 2012/12025-5. Both authors are also supported by the joint project CAPES-MECD grant PHB-2009-0025-PC. In this paper we work with a two-degree polynomial differential system in R3 related with the canard phenomena. We show that this system is completely integrable, and we provide its global phase portrait in the Poincaré ball using the Poincaré-Lyapunov compactification. Equilibrium point First integral Invariant manifolds Homoclinic orbit Heteroclinic orbit Poincaré compactification Poincaré sphere Benoît system Global dynamics of the Benoît system