Journal article
Strange attractors are classified by bounding Tori
Physical review letters, Vol.91(13), pp.134104-1341044
26 Sep 2003
PMID: 14525309
Abstract
There is at present a doubly discrete classification for strange attractors of low dimension, d(L)<3. A branched manifold describes the stretching and squeezing processes that generate the strange attractor, and a basis set of orbits describes the complete set of unstable periodic orbits in the attractor. To this we add a third discrete classification level. Strange attractors are organized by the boundary of an open set surrounding their branched manifold. The boundary is a torus with g holes that is dressed by a surface flow with 2(g-1) singular points. All known strange attractors in R3 are classified by genus, g, and flow type.
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Details
- Title
- Strange attractors are classified by bounding Tori
- Creators
- Tsvetelin D Tsankov - Drexel UniversityRobert Gilmore
- Publication Details
- Physical review letters, Vol.91(13), pp.134104-1341044
- Publisher
- Cold Spring Harbor Press
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Identifiers
- 991019167850204721
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- Web of Science research areas
- Physics, Multidisciplinary