Well, it's not necessarily being initialized.
Here is what is happening. I have it setup so if I user wants to logout, the Admin, the url will be index2.php?i=logout.
In the code, it check to see if i is set to the string: logout. If it is, it checks to see if the admin cookie is set, and if that is set, it will log them out and erase the cookie.
Here are the two sites: exact same code.
http://www.onwswimming.net/index2.php
http://www.izzmo.com/swim/index2.php