Recently, Blanchard, Devaney, Garijo, and Russell have studied rational maps of the form
, 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.
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