Lyapunov Exponent Calculation Toolbox

The Lyapunov Exponent Calculation Toolbox is a versatile MATLAB-based tool designed for analyzing various dynamic systems including Lorenz system, Chua system, Lu system, and logistic map. It features robust algorithms for computing Lyapunov exponents using numerical methods such as the Wolf algorithm or Rosenstein's method for time series data. The toolbox generates phase space reconstructions and trajectory visualizations through built-in plotting functions, enabling researchers to better understand system behavior. Additional analytical capabilities include maximum Lyapunov exponent calculation, bifurcation diagram generation using parameter sweeping techniques, and spectral analysis via FFT implementations. The toolbox incorporates error handling and validation checks for system equations, ensuring reliable results for both novel system research and established system behavior exploration. With its comprehensive suite of functions and visualization tools, this toolbox serves as an essential assistant for nonlinear dynamics analysis.