Enable finite time solutions in the PA method #2
Description
Instead of steady state solutions, allow to plot bounded-time solutions (on [0, t_f]):
Bin the Fourier coefficients for every input and output variable, and let bins be ranges.
A pixel will correspond to a class of periodic functions for each input and output variable.
The pixel will turn on if a solution exists for such sequence of classes.
As explained in "The Pixel Array method for nonlinear systems,
and applications to numerical PDEs" by David I. Spivak in the "Numerical Methods for PDE seminar" (Presented on 2016/10/26).
Enable an alternative method with Laplace transforms as well.