# Symmetric Chaos in the Complex Plane

Symmetric Chaos in the Complex Plane

This Demonstration shows symmetry-restoring bifurcations of a nonlinear complex map: +(λ+α), with , and and varying. The iteration starts at =(1+)/2; 10,000 points are visited and the first 10 iterations are discarded.

z

n

m-1

γ()

*

z

n-1

z

n-1

z

n-1

*

z

n-1

m=3

α=-1

λ

γ

z

0