gistfile1.js

$(document).bind('deck.change', function(event, from, to) {
  var $entering = $.deck('getSlide', to);
      $leaving = $.deck('getSlide', from);

  if ($entering.hasClass('animation')) {
    // Do what you need to do to start animation inside currentSlide
  }

  if ($leaving.hasClass('animation')) {
    // Do what you need to do to stop animation, if anything
  }
});