Published December 21, 2021
| Version v1.0
Software
Open
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/2112.11388v1).
Contains three scripts and associated files to test a set of alterations of Benettin's algorithm in the computation of Lyapunov exponents of a diagonal system, the Lorenz-63 model and the Lorenz-96 model.
Works with MATLAB R2020a.
Files
Files
(32.9 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:c0a0de5e7d415bc5a96518345a82d106
|
2.1 kB | Download |
|
md5:d8002e521ed2d6f7c292f07a1df7ee70
|
2.1 kB | Download |
|
md5:4e0d4165dfa3f1af75360bed010a460c
|
788 Bytes | Download |
|
md5:6bf8a489aec94e4c2b8a400478c5aac4
|
1.0 kB | Download |
|
md5:c9aa146170f44d7db309e84d49210fe6
|
1.1 kB | Download |
|
md5:dc3dd71c9369d38f05e98fd6cc0ef0a2
|
2.0 kB | Download |
|
md5:aab136fa5bb54eaeb8ef15f1368f2a29
|
565 Bytes | Download |
|
md5:6f5151593f0a51128baea39e6005f3bd
|
1.4 kB | Download |
|
md5:170757834a9ff6de83e8620dbbc0a393
|
8.3 kB | Download |
|
md5:50dd5ff67a22a54edf2bbf60262b36e7
|
7.7 kB | Download |
|
md5:38bc60aa907873f6a7bace9336ede3e1
|
5.8 kB | 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.