Generalizations of this map [Benedicks & Carleson, 1991; Aziz-Alaoui et al., 2001] have contributed to the development of dynamical systems theory and have produced new chaotic attractors with applications in science and engineering [Newcomb & Sathyan, 1983; Grassi & Mascolo, 1999]. Application areas include secure communication and information processing [Newcomb & Sathyan, 1983; Grassi & Masc...