ATTRACTORS WITH DUELING SYMMETRY

Two functions of the plane having distinct symmetries are intertwined using a sinew function to create a function of three variables having different symmetries in different regions of space. The attractor resu lting from the iteration of this function can be visualized using a no nlinear semi-inverted projection to the plane. This projection makes t he dueling symmetries of the attractor apparent. Schemes similar to ge netic algorithms can be used to search parameter space for interesting examples of attractors with these dueling symmetries. (C) 1997 Elsevi er Science Ltd.