Reference : Templates and subtemplates of Rössler attractors from a bifurcation diagram
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Templates and subtemplates of Rössler attractors from a bifurcation diagram
Rosalie, Martin mailto [University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) >]
Journal of Physics A: Mathematical and Theoretical
IOP Publishing
[en] Rössler system ; bifurcation diagram ; template
[en] 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.

File(s) associated to this reference

Fulltext file(s):

Limited access
rosalie.pdfAuthor postprint4.05 MBRequest a copy

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.