Journal article
From quasiperiodicity to toroidal chaos: Analogy between the Curry-Yorke map and the van der Pol system
Physical review. E, Statistical, nonlinear, and soft matter physics, v 77(4), pp 046203-046203
01 Apr 2008
PMID: 18517706
Abstract
The van der Pol attractor exhibits a wide variety of behavior depending on the control parameter values: limit cycles, quasiperiodic motion on a torus, mode locking, period doubling, banded chaos, boundary crises, torus wrinkling, breakup of a torus, and toroidal chaos. The organization of these phenomena with respect to each other is well described by studying a partition of the control parameter plane of the Curry-Yorke map.
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Details
- Title
- From quasiperiodicity to toroidal chaos: Analogy between the Curry-Yorke map and the van der Pol system
- Creators
- Christophe Letellier - University of RouenValerie Messager - University of RouenRobert Gilmore - Drexel University
- Publication Details
- Physical review. E, Statistical, nonlinear, and soft matter physics, v 77(4), pp 046203-046203
- Publisher
- Amer Physical Soc
- Number of pages
- 9
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:000255457000030
- Scopus ID
- 2-s2.0-41949086705
- Other Identifier
- 991019167890304721
InCites Highlights
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Physics, Fluids & Plasmas
- Physics, Mathematical