WOLFRAM|DEMONSTRATIONS PROJECT

Symmetric Chaos in the Complex Plane

λ

γ

This Demonstration shows symmetry-restoring bifurcations of a nonlinear complex map:

z

n



m-1

γ(

*

z

n-1

)

+

z

n-1

(λ+α

z

n-1

*

z

n-1

)

, with

m=3

,

α=-1

and

λ

and

γ

varying. The iteration starts at

z

0

=(1+)/2

; 10,000 points are visited and the first 10 iterations are discarded.