Journal article
Peeling bifurcations of toroidal chaotic attractors
Physical review. E, Statistical, nonlinear, and soft matter physics, v 76(6), 066204
01 Dec 2007
PMID: 18233901
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.
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Details
- Title
- Peeling bifurcations of toroidal chaotic attractors
- Creators
- Christophe Letellier - Université de Rouen NormandieRobert Gilmore - Drexel University, PhysicsTimothy Jones - Drexel Univ, Dept Phys, Philadelphia, PA 19104 USA
- Publication Details
- Physical review. E, Statistical, nonlinear, and soft matter physics, v 76(6), 066204
- Publisher
- American Physical Society
- Number of pages
- 7
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Physics; [Retired Faculty]
- Web of Science ID
- WOS:000251985800014
- Scopus ID
- 2-s2.0-37149007637
- Other Identifier
- 991014632276104721
InCites Highlights
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Physics, Fluids & Plasmas
- Physics, Mathematical