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math.DS2020
Koopman Resolvent: A Laplace-Domain Analysis of Nonlinear Autonomous Dynamical Systems
Yoshihiko Susuki, Alexandre Mauroy, Igor Mezic
The motivation of our research is to establish a Laplace-domain theory that provides principles and methodology to analyze and synthesize systems with nonlinear dynamics. A semigro…
math.DS2020★ 15 cited
Two methods to approximate the Koopman operator with a reservoir computer
Marvyn Gulina, Alexandre Mauroy
The Koopman operator provides a powerful framework for data-driven analysis of dynamical systems. In the last few years, a wealth of numerical methods providing finite-dimensional…