The Perturbed Rat
The Perturbed Rat
Recently, Blanchard, Devaney, Garijo, and Russell have studied rational maps of the form (z)=+λ+c, where and are complex-valued parameters. This Demonstration considers the special case when and . When both the real and imaginary parts of are equal to zero, we obtain a Julia set called "the rat". When is nonzero, there is a pole of order three at the origin that changes the structure of the Julia set and perturbs the rat.
F
λ
n
z
-n
z
λ
c
c=-
n=3
λ
λ