Published June 7, 2023
| Version v1.1
Software
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Code for "Stepsize Variations for Lyapunov Exponents to Counter Persistent Errors"
Description
Code for the article "Stepsize Variations for Lyapunov Exponents to Counter Persistent Errors" (https://arxiv.org/abs/2112.11388v2).
Contains three scripts and associated files to test different stepsizes in Benettin's algorithm for a linear system, the Lorenz-63 model and the Lorenz-96 model.
Works with MATLAB R2020a.
Files
Files
(39.1 kB)
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md5:8ab37cc7ceafb7e2dbb206c07ee36e09
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md5:5c7aa6af37948919d99368b48f6b1c24
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md5:5fff01bbe7588276cc360b8587d6e9fd
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md5:8f1164610e826d9839d65d552017c58c
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md5:46a9a8591da353a950de60c8e104a9c0
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md5:15b56b5ff8374fdff56dcd0aac87fd83
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md5:a5861bfa917724cbce425d61993145e7
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1.7 kB | Download |
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md5:05e1d61867e7a6c5caa991723473910e
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md5:cc257a3afac3ad5462f24a44a3e50a71
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1.1 kB | Download |
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md5:095fce626099b0c9d4e939a133f3fe29
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7.8 kB | Download |
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md5:cbf5cf98228c8c07940f35322966b72c
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2.0 kB | Download |
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md5:955cea7d6ce38ab6ff1c68e267cc4ed2
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518 Bytes | Download |
Additional details
References
- Benettin, G. et al. "Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them. Part 1: Theory." Meccanica 15.1 (1980), pp. 9–20. doi: 10.1007/BF02128236.
- Benettin, G. et al. "Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; A method for computing all of them. Part 2: Numerical application." Meccanica 15.1 (1980), pp. 21–30. doi: 10.1007/BF02128237.