MATLAB Program for Calculating Maximum Lyapunov Exponent Using Wolf's Method

This MATLAB program implements Wolf's method for calculating the maximum Lyapunov exponent of time series. The program utilizes chaos analysis techniques based on Lyapunov exponents, which characterize the chaotic properties of time series by computing their fundamental metrics. This implementation helps users better understand and apply time series analysis methods in practical scenarios. The program features complete, optimized code that executes rapidly and can be directly invoked without additional configuration. Key algorithmic components include: - Phase space reconstruction for embedding time series data - Nearest neighbor tracking using Euclidean distance calculations - Exponential divergence rate computation through linear regression - Automated parameter selection for optimal trajectory separation analysis Additionally, the implementation contains comprehensive comments and documentation that clarify the program's structure, including: - Detailed function descriptions for each computational module - Step-by-step explanations of the Wolf algorithm implementation - Parameter tuning guidelines for different time series characteristics - Example usage scenarios with sample data processing This enables users to not only execute the program efficiently but also understand the underlying mathematical foundations and customization possibilities for their specific research applications.