Koopman Operator and Dynamic Mode Decomposition for Dynamical Systems

Dynamic Mode Decomposition (DMD) with Koopman operator theory extensions, powered by a Rust backend via 'extendr'. Provides standard DMD as described in Schmid (2010) , DMD with control for forced linear systems following Proctor, Brunton, and Kutz (2016) , Extended DMD with lifting functions, Hankel-DMD via time-delay embedding, Generalized Laplace Analysis for direct eigenfunction computation, and harmonic time averages and mesochronic harmonic plots for phase space analysis as developed in Mezic (2020) . Includes built-in area-preserving and chaotic maps for experimentation.