The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Low-Dimensional Chaos in a Hydrodynamic System
Abstract
Evidence is presented for low-dimensional strange attractors in Couette-Taylor flow data. Computations of the largest Lyapunov exponent and metric entropy show that the system displays sensitive dependence on initial conditions. Although the phase space is very high dimensional, analysis of experimental data shows that motion is restricted to an attractor of dimension 5 for Reynolds numbers up to 30% above the onset of chaos. The Lyapunov exponent, entropy, and dimension all generally increase with Reynolds number.
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Citations
Cites
Deterministic Nonperiodic Flow
Lorenz, E. N. (1963) · Journal of the Atmospheric Sciences · doi:10.1175/1520-0469(1963)020<0130:dnf>2.0.co;2 · Cited by 19,398
Characterization of Strange Attractors
Grassberger, P., & Procaccia, I. (1983) · Physical Review Letters · doi:10.1103/physrevlett.50.346 · Cited by 4,857
Packard, N. H., Crutchfield, J. P., Farmer, J. D., & Shaw, R. S. (1980) · Physical Review Letters · doi:10.1103/physrevlett.45.712 · Cited by 3,869
Self-citationRuelle, D., & Takens, F. (1971) · Communications in Mathematical Physics · doi:10.1007/bf01646553 · Cited by 2,769
Ruelle, D., & Takens, F. (1971) · Communications in Mathematical Physics · doi:10.1007/bf01893621 · Cited by 1,390
Strange Attractors, Chaotic Behavior, and Information Flow
Shaw, R. (1981) · Zeitschrift für Naturforschung A · doi:10.1515/zna-1981-0115 · Cited by 799
Onset of Turbulence in a Rotating Fluid
Gollub, J. P., & Swinney, H. L. (1975) · Physical Review Letters · doi:10.1103/physrevlett.35.927 · Cited by 427
Self-citationStatistical physics and chaos in fusion plasmas
Horton, C. W., & Reichl, L. E. (1984) · Wiley eBooks · Cited by 154
Dimension Measurements for Geostrophic Turbulence
Guckenheimer, J. M., & Buzyna, G. (1983) · Physical Review Letters · doi:10.1103/physrevlett.51.1438 · Cited by 94
Cited by
Determining Lyapunov exponents from a time series
Wolf, A., Swift, J. B., Swinney, H. L., & Vastano, J. A. (1985) · Physica D: Nonlinear Phenomena · doi:10.1016/0167-2789(85)90011-9 · Cited by 9,499
Self-citationPattern formation outside of equilibrium
Cross, M. C., & Hohenberg, P. C. (1993) · Reviews of Modern Physics · doi:10.1103/revmodphys.65.851 · Cited by 7,859
Evidence of chaotic dynamics of brain activity during the sleep cycle
Babloyantz, A., Salazar, J. M., & Nicolis, C. (1985) · Physics Letters A · doi:10.1016/0375-9601(85)90444-x · Cited by 623
Metadata
- Authors
- Brandstäter, A., Swift, J., Swinney, H. L., Wolf, A., Farmer, J. D., Jen, E., & Crutchfield, P. J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1983-10-17
- Volume
- 51
- Issue
- 16
- Pages
- 1442-1445
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2059681180
- Cited by
- 313
- References
- 9
- FWCI
- 45.37
- Type
- journal article
- Language
- en
- Open access
- closed
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