спасибо @Ahil Karthikeyan & @Smaranjit Maiti
Я получил этот код, работает как шарм:
$(".grid_home").mouseenter(function(){
var $grid_home = $(this),
$first = $grid_home.find(".grid_home_inside" ).first(),
$last = $grid_home.find(".grid_home_inside" ).last(),
$displayed = $grid_home.find(".displayed"),
$next = $displayed.next('.grid_home_inside'),
$prev = $next.prev(".grid_home_inside");
if( $next.length == 0 ) {
$first.addClass("displayed");
$last.removeClass("displayed");
} else {
$next.addClass("displayed");
$prev.removeClass("displayed");
}
});