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Peeling bifurcations of toroidal chaotic attractors
Please use this identifier to cite or link to this item:
http://hdl.handle.net/1860/2738
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| Title: | Peeling bifurcations of toroidal chaotic attractors |
| Authors: | Letellier, Christophe
Gilmore, Robert
Jones, Timothy |
| Issue Date: | 11-Dec-2007 |
| Publisher: | American Physical Society |
| Citation: | Physical Review E, 76(6): pp. 066204-1-7. |
| Abstract: | Chaotic attractors with toroidal topology van der Pol attractor have counterparts with symmetry that
exhibit unfamiliar phenomena. We investigate double covers of toroidal attractors, discuss changes in their
morphology under correlated peeling bifurcations, describe their topological structures and the changes undergone
as a symmetry axis crosses the original attractor, and indicate how the symbol name of a trajectory in the
original lifts to one in the cover. Covering orbits are described using a powerful synthesis of kneading theory
with refinements of the circle map. These methods are applied to a simple version of the van der Pol oscillator. |
| URI: | http://dx.doi.org/10.1103/PhysRevE.76.066204
http://hdl.handle.net/1860/2738 |
| Appears in Collections: | Faculty Research and Publications (Physics)
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