The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
The liapunov dimension of strange attractors
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Citations
Cites
Fractals: Form, Chance, and Dimension
Mandelbrot, B. B., & Aizenman, M. (1979) · Physics Today · doi:10.1063/1.2995555 · Cited by 2,174
CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
Pesin, Y. B. (1977) · Russian Mathematical Surveys · doi:10.1070/rm1977v032n04abeh001639 · Cited by 1,404
Kolmogorov entropy and numerical experiments
Benettin, G., Galgani, L., & Strelcyn, J.-M. (1976) · Physical Review A · doi:10.1103/physreva.14.2338 · Cited by 1,275
Chaotic attractors of an infinite-dimensional dynamical system
Doyne Farmer, J. (1982) · Physica D: Nonlinear Phenomena · doi:10.1016/0167-2789(82)90042-2 · Cited by 901
Chaotic behavior of multidimensional difference equations
Kaplan, J. L., & Yorke, J. A. (1979) · Lecture Notes in Mathematics · doi:10.1007/bfb0064319 · Cited by 711
Self-citationDimension, entropy and Lyapunov exponents
Young, L.-S. (1982) · Ergodic Theory and Dynamical Systems · doi:10.1017/s0143385700009615 · Cited by 633
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
Functional Differential Equations and Approximation of Fixed Points: Proceedings, Bonn, July 1978
(1979) · Lecture Notes in Mathematics · doi:10.1007/bfb0064306 · Cited by 442
On the dimension and entropy of probability distributions
Rényi, A. (1959) · Acta Mathematica Academiae Scientiarum Hungaricae · doi:10.1007/bf02063299 · Cited by 391
Some relations between dimension and Lyapounov exponents
Ledrappier, F. (1981) · Communications in Mathematical Physics · doi:10.1007/bf01208896 · Cited by 163
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
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
Milnor, J. (1985) · Communications in Mathematical Physics · doi:10.1007/bf01212280 · Cited by 971
Smooth Dynamics and New Theoretical Ideas in Nonequilibrium Statistical Mechanics
Ruelle, D. (1999) · Journal of Statistical Physics · doi:10.1023/a:1004593915069 · Cited by 438
The Metric Entropy of Diffeomorphisms: Part II: Relations between Entropy, Exponents and Dimension
Ledrappier, F., & Young, L.-S. (1985) · The Annals of Mathematics · doi:10.2307/1971329 · Cited by 361
Metadata
- Authors
- Frederickson, P., Kaplan, J. L., Yorke, E. D., & Yorke, J. A.
- Venue
- Journal of Differential Equations
- Publisher
- Elsevier BV
- Published
- 1983-08
- Volume
- 49
- Issue
- 2
- Pages
- 185-207
- ISSN
- 0022-0396 (ISSN-L)
- OpenAlex
- W2018522871
- Cited by
- 532
- References
- 11
- FWCI
- 7.72
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Frederickson, P., Kaplan, J. L., Yorke, E. D., & Yorke, J. A. (1983). The liapunov dimension of strange attractors. Journal of Differential Equations. https://doi.org/10.1016/0022-0396(83)90011-6
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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.
