The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Strange attractors and chaotic motions of dynamical systems
Abstract
A review is presented of recent work related to strange attractors and chaotic motions of dynamical systems. First, simple systems capable of displaying chaotic behavior are discussed. In order of increasing dimensionality of the system, they are one-dimensional noninvertible maps, two-dimensional invertible maps, and autonomous systems of three coupled ordinary differential equations. The concept of fractional dimension of the strange attractor is stressed. Several physical examples well be reviewed, along with the possible relevance to turbulence in systems, such as fluids or plasmas, that are described by partial differential equations.
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Citations
Cites
Simple mathematical models with very complicated dynamics
May, R. M. (1976) · Nature · doi:10.1038/261459a0 · Cited by 7,001
Cited by
Characterization of Strange Attractors
Grassberger, P., & Procaccia, I. (1983) · Physical Review Letters · doi:10.1103/physrevlett.50.346 · Cited by 4,857
Metadata
- Authors
- Ott, E.
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 1981-10-01
- Volume
- 53
- Issue
- 4
- Pages
- 655-671
- ISSN
- 0034-6861 (ISSN-L)
- OpenAlex
- W1991297476
- Cited by
- 474
- References
- 1
- FWCI
- 54.30
- Type
- journal article
- Language
- en
- Open access
- closed
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- Ott, E. (1981). Strange attractors and chaotic motions of dynamical systems. Reviews of Modern Physics. https://doi.org/10.1103/revmodphys.53.655
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
