MATLAB Routine for Chaotic Time Series Prediction

This article presents a MATLAB routine I developed for chaotic time series prediction, which encapsulates knowledge gained through years of study and practical experience. I believe this implementation will benefit students and researchers exploring chaotic time series forecasting methodologies.

The routine begins with fundamental concepts and theoretical principles of chaotic time series prediction. It then demonstrates step-by-step MATLAB implementation, featuring detailed code comments and explanations of key algorithms such as phase space reconstruction using time-delay embedding (implemented via the 'delay' parameter) and prediction techniques like local linear approximation. Each code segment includes discussions on parameter optimization and error measurement approaches. Finally, a practical case study illustrates application scenarios, complete with accuracy analysis using metrics like Mean Squared Error (MSE) and discussion on prediction reliability through confidence interval calculations.

I welcome feedback and suggestions for improving this routine. Thank you for your interest!