@article{PAR00022135,
  title = {{T}opological characterization of toroidal chaos : a branched manifold for the {D}eng toroidal attractor},
  author = {{M}angiarotti, {S}ylvain and {L}etellier, {C}.},
  editor = {},
  language = {{ENG}},
  abstract = {{W}hen a chaotic attractor is produced by a three-dimensional strongly dissipative system, its ultimate characterization is reached when a branched manifold-a template-can be used to describe the relative organization of the unstable periodic orbits around which it is structured. {I}f topological characterization was completed for many chaotic attractors, the case of toroidal chaos-a chaotic regime based on a toroidal structure-is still challenging. {W}e here investigate the topology of toroidal chaos, first by using an inductive approach, starting from the branched manifold for the {R}ossler attractor. {T}he driven van der {P}ol system-in {R}obert {S}haw's form-is used as a realization of that branched manifold. {T}hen, using a deductive approach, the branched manifold for the chaotic attractor produced by the {D}eng toroidal system is extracted from data.},
  keywords = {},
  booktitle = {},
  journal = {{C}haos},
  volume = {31},
  numero = {1},
  pages = {013129 [30 ]},
  ISSN = {1054-1500},
  year = {2021},
  DOI = {10.1063/5.0025924},
  URL = {https://www.documentation.ird.fr/hor/{PAR}00022135},
}