I've seen (though can't find immediately again right now) animations based on rotating through interesting parameter sets for some of these systems, rather than

I've seen (though can't find immediately again right now) animations based on rotating through interesting parameter sets for some of these systems, rather than animating the progression through one parameter variation as seen on these analyses, which was rather mesmerising too (not dissimilar to the ifs module I remember from xscreensaver in the late 90s).