The DOI matches its Crossref record; 20 of the 20 references it cites were found in a registry or an index.
The Claude Bernard Lecture, 1989 - Deterministic chaos: the science and the fiction
Abstract
Under the name of chaos the mathematical ideas of differentiable dynamics have had a profound impact on physics. Some success stories are discussed. Attention is also directed to the excessive optimism of some currently attempted applications. It is shown how and why they should fail.
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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
Measuring the strangeness of strange attractors
Grassberger, P., & Procaccia, I. (1983) · Physica D: Nonlinear Phenomena · doi:10.1016/0167-2789(83)90298-1 · Cited by 5,650
Ergodic theory of chaos and strange attractors
Eckmann, J. P., & Ruelle, D. (1985) · Reviews of Modern Physics · doi:10.1103/revmodphys.57.617 · Cited by 4,941
Self-citationPackard, 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
Quantitative universality for a class of nonlinear transformations
Feigenbaum, M. J. (1978) · Journal of Statistical Physics · doi:10.1007/bf01020332 · Cited by 3,589
Differentiable dynamical systems
Smale, S. (1967) · Bulletin of the American Mathematical Society · doi:10.1090/s0002-9904-1967-11798-1 · Cited by 3,027
Ruelle, D., & Takens, F. (1971) · Communications in Mathematical Physics · doi:10.1007/bf01646553 · Cited by 2,769
Self-citationThe universal metric properties of nonlinear transformations
Feigenbaum, M. J. (1979) · Journal of Statistical Physics · doi:10.1007/bf01107909 · Cited by 1,415
Nonlinear Dynamics and Stock Returns
Scheinkman, J. A., & LeBaron, B. (1989) · The Journal of Business · doi:10.1086/296465 · Cited by 772
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
Cited by
Pattern 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
"Dynamic" Connectivity in Neural Systems
Breakspear, M. (2004) · Neuroinformatics · doi:10.1385/ni:2:2:205 · Cited by 113
Analyzing the dynamics of hand tremor time series
Gantert, C., Honerkamp, J., & Timmer, J. (1992) · Biological Cybernetics · doi:10.1007/bf00204112 · Cited by 74
Metadata
- Authors
- Ruelle, D.
- Venue
- Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- Publisher
- The Royal Society
- Published
- 1990-02-08
- Volume
- 427
- Issue
- 1873
- Pages
- 241-248
- ISSN
- 0080-4630 (ISSN-L)
- 2053-9169
- OpenAlex
- W2069260131
- Cited by
- 317
- References
- 20
- FWCI
- 31.98
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: The Claude Bernard Lecture, 1989 - Deterministic chaos: the science and the fiction. https://app.cochat.ai/papers/10.1098/rspa.1990.0010
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- Ruelle, D. (1990). The Claude Bernard Lecture, 1989 - Deterministic chaos: the science and the fiction. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences. https://doi.org/10.1098/rspa.1990.0010
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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.
