Topological analysis for designing a suspension of the Hénon map /Mangiarotti, Sylvain Letellier, C. Chaos Topology 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. 2015 text https://www.documentation.ird.fr/hor/fdi:010065501 fdi:010065501 Mangiarotti Sylvain, Letellier C.. Topological analysis for designing a suspension of the Hénon map. 2015, 379 (47-48), 3069-3074 EN