Section 466. Effect of granting of support in action for divorce, separation or annulment

(a)  The supreme court may provide in an order or decree
  granting temporary or permanent support or maintenance in an action  for
  divorce,  separation  or  annulment  that  only  the  family  court  may
  entertain an application to enforce or, upon a  showing  to  the  family
  court  that  there has been a subsequent change of circumstance and that
  modification is required, to modify such order or decree. If the supreme
  court so provides, the family court shall entertain such an  application
  and  any  disposition by the family court of the application is an order
  of the family court appealable only under article eleven of this act.
    (b) The supreme court may provide  in  an  order  or  decree  granting
  alimony,  maintenance or support in an action for divorce, separation or
  annulment that the order or decree may be enforced or modified  only  in
  the  supreme  court.  If the supreme court so provides, the family court
  may not entertain an application to enforce or modify an order or decree
  of the supreme court involving the parties to the action.
    (c) If the supreme court enters an order or decree  granting  alimony,
  maintenance or support in an action for divorce, separation or annulment
  and  if  the  supreme  court does not exercise the authority given under
  subdivision (a) or (b) of this section;  or  if  a  court  of  competent
  jurisdiction not of the state of New York shall enter an order or decree
  granting  alimony, maintenance or support in any such action, the family
  court may
    (i) entertain an application to enforce the order or  decree  granting
  alimony or maintenance, or
    (ii)  entertain  an application to modify the order or decree granting
  alimony or maintenance on the ground that there has  been  a  subsequent
  change of circumstances and that modification is required.