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Please use this identifier to cite or link to this item: http://hdl.handle.net/1860/2738

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
Appears in Collections:Faculty Research and Publications (Physics)

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