The properties of the iterated complex Carotid-Kundalini function, given by
z(j+1) = cos(Nz(j)cos(-1)(z(j))) + c,
where z, c, and N are complex constants, are studied. Depending on the valu
es of N, c, and z, used, trajectories either tended to a fixed point, displ
ayed periodic behaviour, or increased in value in an unbounded manner at ea
ch iteration. Trajectories that tended to fixed points were observed to do
so in an are-like manner for some parameter values. Trifurcations were seen
as convergence to a single fixed point which was replaced by period-3 and
period-9 motion, as the imaginary part of c was varied. (C) 2001 Published
by Elsevier Science Ltd.