The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Characterization of Strange Attractors
Abstract
A new measure of strange attractors is introduced which offers a practical algorithm to determine their character from the time series of a single observable. The relation of this new measure to fractal dimension and information-theoretic entropy is discussed.
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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
Simple mathematical models with very complicated dynamics
May, R. M. (1976) · Nature · doi:10.1038/261459a0 · Cited by 7,001
Diffusion-Limited Aggregation, a Kinetic Critical Phenomenon
Witten, T. A., & Sander, L. M. (1981) · Physical Review Letters · doi:10.1103/physrevlett.47.1400 · Cited by 5,381
An Introduction to Probability Theory and its Applications.
Kingman, J. F. C., & Feller, W. (1972) · Journal of the Royal Statistical Society. Series A (General) · doi:10.2307/2344620 · Cited by 4,938
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
A two-dimensional mapping with a strange attractor
Hénon, M. (1976) · Communications in Mathematical Physics · doi:10.1007/bf01608556 · Cited by 2,987
Ruelle, D., & Takens, F. (1971) · Communications in Mathematical Physics · doi:10.1007/bf01646553 · Cited by 2,769
Fractals: Form, Chance, and Dimension
Bresson, D., & Mandelbrot, B. B. (1979) · Leonardo · doi:10.2307/1574228 · Cited by 675
Strange attractors and chaotic motions of dynamical systems
Ott, E. (1981) · Reviews of Modern Physics · doi:10.1103/revmodphys.53.655 · Cited by 474
Dimension of Strange Attractors
Russell, D. A., Hanson, J. D., & Ott, E. (1980) · Physical Review Letters · doi:10.1103/physrevlett.45.1175 · Cited by 464
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
Andrzejak, R. G., Lehnertz, K., Mormann, F., Rieke, C., David, P., & Elger, C. E. (2001) · Physical Review E · doi:10.1103/physreve.64.061907 · Cited by 3,032
The synchronization of chaotic systems
Boccaletti, S., Kurths, J., Osipov, G., Valladares, D. L., & Zhou, C. S. (2002) · Physics Reports · doi:10.1016/s0370-1573(02)00137-0 · Cited by 2,764
Recovering Gene Interactions from Single-Cell Data Using Data Diffusion
van Dijk, D., Sharma, R., Nainys, J., Yim, K., Kathail, P., Carr, A. J., Burdziak, C., Moon, K. R., Chaffer, C. L., Pattabiraman, D., et al. (2018) · Cell · doi:10.1016/j.cell.2018.05.061 · Cited by 1,829
Dynamic models of large-scale brain activity
Breakspear, M. (2017) · Nature Neuroscience · doi:10.1038/nn.4497 · Cited by 1,239
Metadata
- Authors
- Grassberger, P., & Procaccia, I.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1983-01-31
- Volume
- 50
- Issue
- 5
- Pages
- 346-349
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2056651346
- Cited by
- 4,857
- References
- 12
- FWCI
- 59.60
- Type
- journal article
- Language
- en
- Open access
- closed
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- Grassberger, P., & Procaccia, I. (1983). Characterization of Strange Attractors. Physical Review Letters. https://doi.org/10.1103/physrevlett.50.346
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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.
