Calculating Lyapunov Exponents Using Wolf's Method
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Resource Overview
Implementation of Wolf's method for computing Lyapunov exponents - directly execute the Wolf_3DLyapunov.m file containing the complete algorithm with embedded data processing and numerical computation routines
Detailed Documentation
This process enables you to calculate Lyapunov exponents using Wolf's method. The implementation requires you to run the Wolf_3DLyapunov.m file, which contains the core algorithm that tracks the divergence rates of nearby trajectories in phase space. Before executing the file, ensure that MATLAB is properly installed on your system and that all necessary Wolf algorithm support files have been downloaded to your computer. The code implements numerical differentiation and eigenvalue calculations to determine the exponential growth rates. Upon execution, the program will generate detailed information about the Lyapunov exponents, including their spectrum and convergence behavior, which will assist in further research of dynamical systems principles and concepts. The algorithm automatically handles phase space reconstruction and uses QR decomposition for orthonormalization during the computation process.
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