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Kolmogorov entropy and numerical experiments
Abstract
Numerical investigations of dynamical systems allow one to give estimates of the rate of divergence of nearby trajectories, by means of a quantity which is usually assumed to be related to the Kolmogorov (or metric) entropy. In this paper it is shown first, on the basis of mathematical results of Oseledec and Piesin, how such a relation can be made precise. Then, as an example, a numerical study of the Kolmogorov entropy for the H\'enon-Heiles model is reported.
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Citations
Cited by
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
A spectral entropy method for distinguishing regular and irregular motion of Hamiltonian systems
Powell, G. E., & Percival, I. C. (1979) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/12/11/017 · Cited by 287
Chaotic dispersal of tidal debris
Price-Whelan, A. M., Johnston, K. V., Valluri, M., Pearson, S., Küpper, A. H. W., & Hogg, D. W. (2016) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stv2383 · Cited by 80
Metadata
- Authors
- Benettin, G., Galgani, L., & Strelcyn, J.-M.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1976-12-01
- Volume
- 14
- Issue
- 6
- Pages
- 2338-2345
- ISSN
- 0556-2791 (ISSN-L)
- OpenAlex
- W1970738437
- Cited by
- 1,275
- References
- 0
- FWCI
- 13.46
- Type
- journal article
- Language
- en
- Open access
- closed
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- Benettin, G., Galgani, L., & Strelcyn, J.-M. (1976). Kolmogorov entropy and numerical experiments. Physical Review A. https://doi.org/10.1103/physreva.14.2338
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