Reference : Templates and subtemplates of Rössler attractors from a bifurcation diagram
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/27789
Templates and subtemplates of Rössler attractors from a bifurcation diagram
English
Rosalie, Martin mailto [University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) >]
27-Jun-2016
Journal of Physics A: Mathematical and Theoretical
IOP Publishing
49
31
315101
Yes
International
[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.
http://hdl.handle.net/10993/27789
10.1088/1751-8113/49/31/315101
http://dx.doi.org/10.1088/1751-8113/49/31/315101

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