Strange behavior that's affects every browser..
I usually refresh it manually with this script (it uses jQuery)
<img id="gif_animata" src="picturePath.gif">
<script type="text/javascript">
var gifSource = $('#gif_animata').attr('src'); //get the source in the var
$('#gif_animata').attr('src', ""); //erase the source
$('#gif_animata').attr('src', gifSource+"?"+new Date().getTime()); //add the date to the source of the image... :-)
</script>
This will refresh the src of the image adding the current date, so the browser will re-load it, thinking that's a new image.
Otherwise in PHP way (I prefer this one):
<img src="picturePath.gif?<?php echo date("Ymdgis");?>" />
//for the browser it will seems that's a new picture!
<img src="picturePath.gif?2012092011207">