Lyapunov Exponent Calculation Algorithm
- Login to Download
- 1 Credits
Resource Overview
Detailed Documentation
This rigorously tested implementation demonstrates exceptional stability, reliability, and computational efficiency in calculating Lyapunov exponents for dynamical systems. The algorithm employs optimized numerical methods including QR decomposition for orthonormal basis maintenance and exponential divergence rate calculations, achieving high-speed performance that handles large-scale datasets with minimal processing time. The package includes comprehensive visualization modules utilizing MATLAB's plotting functions (plot, surf, contour) to generate phase portraits, exponent spectrum graphs, and time-evolution plots with customizable parameters. These features make it ideal for both individual researchers analyzing chaotic systems and enterprise applications requiring robust nonlinear dynamics analysis tools.
- Login to Download
- 1 Credits