Abstract. We consider the infinite dimensional linear dynamical systems of composition operators defined on the Hardy space $H^2 (D)$. We investigate the scalar multiplied composition operators which are chaotic in Devaney's sense.

AMS Subject Classification (1991): 47B33, 58F13

Received January 22, 2002, and in revised form April 15, 2002. (Registered under 2932/2009.)