The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Some relations between dimension and Lyapounov exponents
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Citations
Cites
Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
Katok, A. (1980) · Publications Mathématiques de l'IHÉS · doi:10.1007/bf02684777 · Cited by 935
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
The liapunov dimension of strange attractors
Frederickson, P., Kaplan, J. L., Yorke, E. D., & Yorke, J. A. (1983) · Journal of Differential Equations · doi:10.1016/0022-0396(83)90011-6 · Cited by 532
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
Self-citationRepellers, semi-attractors, and long-lived chaotic transients
Kantz, H., & Grassberger, P. (1985) · Physica D: Nonlinear Phenomena · doi:10.1016/0167-2789(85)90135-6 · Cited by 310
Metadata
- Authors
- Ledrappier, F.
- Venue
- Communications in Mathematical Physics
- Published
- 1981-06
- Volume
- 81
- Issue
- 2
- Pages
- 229-238
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W2045207061
- Cited by
- 163
- References
- 1
- FWCI
- 8.21
- Type
- journal article
- Language
- en
- Open access
- closed
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- Ledrappier, F. (1981). Some relations between dimension and Lyapounov exponents. Communications in Mathematical Physics. https://doi.org/10.1007/bf01208896
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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.
