2026-04-17T05:21:17Zhttps://recercat.cat/oai/requestoai:recercat.cat:2072/4106412025-06-23T02:46:47Zcom_2072_98col_2072_378192
RECERCAT
author
Lima, Mauricio Firmino Silva
author
Llibre, Jaume
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.
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Equilibrium point
First integral
Invariant manifolds
Homoclinic orbit
Heteroclinic orbit
Poincaré compactification
Poincaré sphere
Benoît system
Global dynamics of the Benoît system
Article