Chaotic Computing Program Source Files for Calculating Lyapunov Exponents

This document provides chaotic computing program source files containing 5 distinct implementations for calculating Lyapunov exponents. The implemented methods include:

- C-C algorithm (uses time series correlation analysis for phase space reconstruction)

- Minimum Data Volume algorithm (optimizes computational efficiency by determining the minimal required dataset size)

- G-P algorithm (Grassberger-Procaccia method for dimension estimation and exponent calculation)

- Correlation Dimension method (computes fractal dimensions through correlation integrals)

- Mutual Information method (employs information theory concepts to analyze chaotic system dynamics)

These algorithms represent fundamental computational approaches in chaos theory research. The provided source code enables researchers to better understand chaotic phenomena through practical implementation and provides a foundation for further methodological improvements. These programs are designed to facilitate both academic research and practical applications in chaos theory, offering customizable parameters and clear computational workflows for various experimental scenarios.