Journal article
Dressed return maps distinguish chaotic mechanisms
Physical review. E, Statistical, nonlinear, and soft matter physics, v 87(1), pp 012919-012919
Jan 2013
PMID: 23410416
Abstract
Chaotic data generated by a three-dimensional dynamical system can be embedded into R(3) in a number of inequivalent ways. However, when lifted into R(5) they all become equivalent, indicating that they all belong to a single universality class sharing a common chaos-generating mechanism. We present a complete invariant determining this universality class and distinguishing attractors generated by distinct mechanisms. This invariant is easily computable from an appropriately "dressed" return map of any particular three-dimensional embedding.
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Details
- Title
- Dressed return maps distinguish chaotic mechanisms
- Creators
- Daniel J Cross - Haverford CollegeR Gilmore - Drexel University
- Publication Details
- Physical review. E, Statistical, nonlinear, and soft matter physics, v 87(1), pp 012919-012919
- Publisher
- Cold Spring Harbor Press
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:000314342700008
- Scopus ID
- 2-s2.0-84873600710
- Other Identifier
- 991019168105604721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Physics, Fluids & Plasmas
- Physics, Mathematical