Based on your posts in this group, you definitely know more about filters than I do, so I don't really have an answer to this question - but I'm wondering if by "resonant" filter you mean the same thing as "resonator" filter?
I saw something interesting earlier today about using resonator filters as control sources for FM synthesis:
http://tai-studio.org/index.php/projects/sound-programming/complexres/The paper that is linked in the article has some details on the mathematical implementation of the filter, but that's mostly mumbo-jumbo to me.