Frequency response for nonlinear systems is defined as the Laplace transform of the output in the Koopman resolvent framework, with existence conditions given for three classes of dynamics.
Spectrum of the Koopman Operator, Spectral Expansions in Functional Spaces, and State-Space Geometry,
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On Koopman Resolvents and Frequency Response of Nonlinear Systems
Frequency response for nonlinear systems is defined as the Laplace transform of the output in the Koopman resolvent framework, with existence conditions given for three classes of dynamics.