Max Lyapunov: Computing the Largest Lyapunov Exponent for Chaotic Systems

Max Lyapunov calculates the largest Lyapunov exponent via divergence analysis between initial trajectories, commonly implemented using algorithms like Rosenstein's or Wolf's method for phase space reconstruction.

Calculating Lyapunov Exponents: Implementation and Algorithms

Source code for predicting Lyapunov exponents: largest_lyapunov_exponent.m (calculates the largest Lyapunov exponent using Lü Jinhu's method), lyapunov_wolf.m (computes the largest Lyapunov exponent using Wolf's method), and G_P.m (implements G-P algorithm for correlation dimension calculation). Reference: "Improved Slope Displacement Prediction Algorithm Based on Lyapunov Exponents." These MATLAB implementations feature phase space reconstruction, nearest neighbor searching, and divergence rate computation for chaotic time series analysis.

Computing Largest Singular Values Using Lanczos Method with MATLAB Implementation

MATLAB implementation of Lanczos algorithm for calculating the largest singular values of matrices, featuring Krylov subspace iteration and sparse matrix optimization.