%0 Journal Article
%9 ACL : Articles dans des revues avec comité de lecture répertoriées par l'AERES
%A Mangiarotti, Sylvain
%A Letellier, C.
%T Topological analysis for designing a suspension of the Hénon map
%D 2015
%L fdi:010065501
%G ENG
%J Physics Letters A
%@ 0375-9601
%K Chaos ; Topology
%M ISI:000365052800010
%N 47-48
%P 3069-3074
%R 10.1016/j.physleta.2015.10.016
%U https://www.documentation.ird.fr/hor/fdi:010065501
%> https://www.documentation.ird.fr/intranet/publi/2015/12/010065501.pdf
%V 379
%W Horizon (IRD)
%X 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