Dynamical Systems
Explore the fascinating world of dynamical systems through a comprehensive series of lectures covering advanced topics such as Sparse Identification of Nonlinear Dynamics (SINDy), Koopman operator theory, compressed sensing, and deep learning applications in dynamics. Delve into practical implementations using MATLAB, analyze chaotic systems like the Lorenz system and logistic map, and discover innovative approaches for modeling complex nonlinear dynamics. Learn about cutting-edge techniques including HAVOK analysis, SINDy autoencoders, and deep delay autoencoders for uncovering latent variables in dynamical systems. Gain insights into energy-optimal trajectories in unsteady flows and robust algorithms for parallel implicit sparse identification of nonlinear dynamics.