Chaotic attractors with cyclic symmetry revisited

Chaotic attractors generated by the iteration of polynomial functions with cyclic symmetry have been the subject of recent study. A new formulation is investigated which generates cyclic symmetry using arbitrary functions. Th is allows the use of diverse function classes including functions with vari ous types of singularities. The resulting images have significantly more di versity than those arising from polynomials, yet the cyclic symmetry of the chaotic attractor is preserved. (C) 2000 Elsevier Science Ltd. All rights reserved.