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math.DS2016★ 479 cited
Ergodic theory, Dynamic Mode Decomposition and Computation of Spectral Properties of the Koopman operator
Hassan Arbabi, Igor Mezić
We establish the convergence of a class of numerical algorithms, known as Dynamic Mode Decomposition (DMD), for computation of the eigenvalues and eigenfunctions of the infinite-di…
math.DS2016
An operator-theoretic viewpoint to non-smooth dynamical systems: Koopman analysis of a hybrid pendulum
Nithin Govindarajan, Hassan Arbabi, Louis van Blargian +3
We apply an operator-theoretic viewpoint to a class of non-smooth dynamical systems that are exposed to event-triggered state resets. The considered benchmark problem is that of a…