attracter \attract"er\, n.
   one who, or that which, attracts.
   1913 webster

attracter
     n 1: an entertainer who attracts large audiences; "he was the
          biggest drawing card they had" syn: drawing card, draw,
           attraction, attractor
     2: physics a point in the ideal multidimensional phase space
        that is used to describe a system toward which the system
        tends to evolve regardless of the starting conditions of
        the system syn: attractor
     3: a characteristic that provides pleasure and attracts;
        "flowers are an attractor for bees" syn: attraction, attractor,
         attractive feature, magnet
see also:
drawing card draw attraction attractor attractive feature magnet