Hankel Alternative View of Koopman Analysis
Explore a novel algorithm for decomposing chaos into a linear system with intermittent forcing in this comprehensive video lecture. Delve into the Hankel Alternative View of Koopman (HAVOK) analysis, which constructs linear regression models on eigen-time-delay coordinates. Learn about dynamical systems, sensitivity to initial conditions, and Koopman operator theory. Discover how HAVOK analysis applies embedding theorems and builds regression models to analyze chaotic systems. Examine the results, including prediction capabilities and nonlinearity modeling. Access the provided MATLAB code to implement the HAVOK analysis on the Lorenz model. Gain insights into this groundbreaking approach to understanding and modeling chaotic systems through detailed explanations and practical demonstrations.