I see, but it doesn't work because the page has an error:
jQuery is not defined (it says so in the JS console of chrome)
And that error is caused by the minify script not working. The JS url returns an HTTP 400 error, saying the request is not valid. So you don't get jQuery, and the plugin doesn't work because it's dependent on jQuery.
I had the same problem, and fixed by changing line 65 of wp-content/plugins/bwp-minify/min/config.php to:
$min_documentRoot = realpath(dirname(__FILE__).'/../../../..');
But at least what we set out for is working now: the js script is not minified, so we have established that it's handle is, indeed, 'cycle'