The frequency response of linear systems represent the output at a certain frequency, where the excitation and output will oscillate at the same frequency. In nonlinear systems, the output is comprised of multiple harmonics, and therefore representing the output is difficult. Any suggestions?
There are different ways to answer your question. I will propose one.
As Supplementary Resources of the publication below you can find the slides of a seminar that, if you have the patience to get to pag. 62, gives an answer to your question. In fact, there is defined a n-th order frequency response and also a sort of n-th order transfer function of a non linear system.
I think that is the closest thing to the requested "frequency response of a nonlinear system".
Article Diagonal Kernel Point Estimation ofth-Order Discrete Volterr...
The following article has provided a one such approach with an automated algorithm that can be applicable to broad class of nonlinear systems:
Article Automatic computation and solution of generalized harmonic b...
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