[javascript] jQuery - Uncaught RangeError: Maximum call stack size exceeded

The following code (see Fiddle here) throws the stack overflow referred to in the question title. I'm trying to get a box shadow to display around a circular image in a pulse effect. Can anyone point out the recursion, please? I'm very much a Javascript novice and can't see it. Thank you.

HTML

<div id="pulseDiv"> 
      <a href="#" id="advisers-css-image">
           <div id="advisersDiv"><img src="http://ubuntuone.com/1djVfYlV62ORxB8gSSA4R4"></div>
      </a>
</div>

CSS

.pulse { box-shadow: 0px 0px 4px 4px #AEA79F; }

Javascript

function fadeIn() {
   $('#pulseDiv').find('div.advisersDiv').delay(400).addClass("pulse");
   fadeOut();
};

function fadeOut() {
   $('#pulseDiv').find('div.advisersDiv').delay(400).removeClass("pulse");
   fadeIn();
};

your fadeIn() function calls the fadeOut() function, which calls the fadeIn() function again. the recursion is in the JS.