@article{fdi:010065501, title = {{T}opological analysis for designing a suspension of the {H}{\'e}non map}, author = {{M}angiarotti, {S}ylvain and {L}etellier, {C}.}, editor = {}, language = {{ENG}}, abstract = {{A} suspension of a map consists of the flow for which the {P}oincare section is that map. {D}esigning a suspension of a given map remains a non-trivial task in general. {T}he case of suspending the flenon map is here considered. {D}epending on the parameter values, the {H}enon 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 {S}tarrett and {N}icholas 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.}, keywords = {{C}haos ; {T}opology}, booktitle = {}, journal = {{P}hysics {L}etters {A}}, volume = {379}, numero = {47-48}, pages = {3069--3074}, ISSN = {0375-9601}, year = {2015}, DOI = {10.1016/j.physleta.2015.10.016}, URL = {https://www.documentation.ird.fr/hor/fdi:010065501}, }