Just to make sure, this has to be time dependent, and not computer power dependent, because most of the time you want the plot to be plotted as fast as possible depending on your computational power, while here I would like the plot to be shown upon a fixed time (as I am assuming any computer can run this without any problem).
This is to link then to a video where I will be able to link the time scale of the video with what is shown on my plot, hence why I have to work in the time scale (and not steps scale).