Horizon 1 1 17 ACL : Articles dans des revues avec comité de lecture répertoriées par l'AERES Physics Letters A 3069-3074 Chaos Topology 2015 fdi:010065501 ENG Physics Letters A 0375-9601 ISI:000365052800010 47-48 10.1016/j.physleta.2015.10.016 https://www.documentation.ird.fr/hor/fdi:010065501 https://www.documentation.ird.fr/intranet/publi/2015/12/010065501.pdf 379 Horizon (IRD) A suspension of a map consists of the flow for which the Poincare section is that map. Designing a suspension of a given map remains a non-trivial task in general. The case of suspending the flenon map is here considered. Depending on the parameter values, the Henon map is orientation preserving or reversing; it is here shown that while a tridimensional suspension can be obtained in the former case, a four-dimensional flow is required to suspend the latter. A topological characterization of the three-dimensional suspension proposed by Starrett and Nicholas for the orientation preserving area is performed. A template is proposed for the four-dimensional case, for which the governing equations remain to be obtained. 020 UR113