MATLAB Program for Calculating Lyapunov Exponents

This MATLAB program calculates Lyapunov exponents along with comprehensive usage instructions, designed to assist researchers in dynamical systems analysis.

Computing Lyapunov exponents is a fundamental method for studying dynamical systems. This program provides an efficient implementation for calculating Lyapunov exponents using the Wolf algorithm, which handles both time-varying and nonlinear systems through numerical simulation of trajectory divergence. The implementation includes proper phase space reconstruction and orthogonalization procedures to ensure accurate exponent calculation.

The program employs the widely-used Wolf algorithm that computes Lyapunov exponents by monitoring the exponential divergence rates of nearby trajectories in phase space. Key features include automatic state-space reconstruction, QR decomposition for maintaining orthogonal directions, and exponential growth rate estimation over multiple iterations. Users can quickly obtain required Lyapunov spectrum results with built-in data saving and visualization capabilities for result analysis.

The program is available for immediate download without any restrictions or requirements. We hope this tool proves valuable for your research or work. For any questions or suggestions regarding the algorithm implementation or code usage, please feel free to contact us. Thank you!