Hi Jakub, this is nice work, so nice that you are reminding me of William Harter's class at the University of Arkansas. Please have a look at the reference I mentioned, the fourth lecture at about the 50th slide. He has previously worked extensively on kinetic oscillators, and explains linear space dependency and quadratic mass dependency in a simple functional form.
Hi Brad, thank you for the comment! I am going to revise the post and I will make sure to go through the lecture you mention.
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