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Chaotic behavior of multidimensional difference equations
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Citations
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
Atmospheric Modeling, Data Assimilation and Predictability
Kalnay, E. (2002) · doi:10.1017/cbo9780511802270 · Cited by 3,391
Milnor, J. (1985) · Communications in Mathematical Physics · doi:10.1007/bf01212280 · Cited by 971
Using machine learning to replicate chaotic attractors and calculate Lyapunov exponents from data
Pathak, J., Lu, Z., Hunt, B. R., Girvan, M., & Ott, E. (2017) · Chaos: An Interdisciplinary Journal of Nonlinear Science · doi:10.1063/1.5010300 · Cited by 620
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
Self-citationControlling chaotic dynamical systems
Romeiras, F. J., Grebogi, C., Ott, E., & Dayawansa, W. P. (1992) · Physica D: Nonlinear Phenomena · doi:10.1016/0167-2789(92)90107-x · Cited by 437
Leonov, G. A., Kuznetsov, N. V., & Mokaev, T. N. (2015) · The European Physical Journal Special Topics · doi:10.1140/epjst/e2015-02470-3 · Cited by 386
A PROPOSED STANDARD FOR THE PUBLICATION OF NEW CHAOTIC SYSTEMS
SPROTT, J. C. (2011) · International Journal of Bifurcation and Chaos · doi:10.1142/s021812741103009x · Cited by 272
Transients, Metastability, and Neuronal Dynamics
Friston, K. J. (1997) · NeuroImage · doi:10.1006/nimg.1997.0259 · Cited by 269
A New Hyperchaotic System-Based Design for Efficient Bijective Substitution-Boxes
Al Solami, E., Ahmad, M., Volos, C., Doja, M. N., & Beg, M. M. S. (2018) · Entropy · doi:10.3390/e20070525 · Cited by 113
Metadata
- Authors
- Kaplan, J. L., & Yorke, J. A.
- Venue
- Lecture Notes in Mathematics
- Publisher
- Springer Berlin Heidelberg
- Published
- 1979
- Pages
- 204-227
- ISSN
- 0075-8434 (ISSN-L)
- 1617-9692
- OpenAlex
- W1863658077
- Cited by
- 711
- References
- 0
- FWCI
- 10.55
- Type
- book chapter
- Language
- en
- Open access
- closed
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Data sources
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.