Re-initializing rules for ajax response

Re-initializing rules for ajax response

First off, sorry if Im confusing terms.  Im a newb.  Anyway, I have a simple UI with a button which initiates an ajax call to retrieve some html.  The response gets dropped in the empty div.
 
Since I am using plugins that I initialize in the document.ready function, the html that comes back from my ajax call never gets those rules applied.  This seems to be a fairly common issue with plugins I am using.  Any thoughts on how to solution?  (I know "solution" is a noun and not a verb but for some reason it felt good using it that way)