Templates and subtemplates of Rössler attractors from a bifurcation diagram

Martin Rosalie (1)

1 LaBRI - Laboratoire Bordelais de Recherche en Informatique

We study the bifurcation diagram of the Rössler system. It displays the various dynamical regimes of the system (stable or chaotic) when a parameter is varied. We choose a diagram that exhibits coexisting attractors and banded chaos. We use the topological characterization method to study these attractors. Then, we detail how the templates of these attractors are subtemplates of a unique template. Our main result is that only one template describes the topological structure of eight attractors. This leads to a topological partition of the bifurcation diagram that gives the symbolic dynamic of all bifurcation diagram attractors with a unique template.

Mots clés: Rössler system; bifurcation diagram; template; subtemplate

Domaines: Dynamique Chaotique [nlin.CD]; Systèmes dynamiques [math.DS]

Martin Rosalie. Templates and subtemplates of Rössler attractors from a bifurcation diagram. Journal of Physics A: Mathematical and Theoretical, 2016, 49 (31), pp.315101. ⟨10.1088/1751-8113/49/31/315101⟩. ⟨hal-01340459⟩