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