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{"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\u201320. 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\u201330. doi: 10.1007/BF02128237."]}
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.
Lyapunov exponents; Benettin's algorithm; stepsize variations; linear dynamical systems; convergence analysis, Lyapunov exponents; Benettin's algorithm; stepsize variations; weighted averages; convergence analysis; chaos; dynamical systems
Lyapunov exponents; Benettin's algorithm; stepsize variations; linear dynamical systems; convergence analysis, Lyapunov exponents; Benettin's algorithm; stepsize variations; weighted averages; convergence analysis; chaos; dynamical systems
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