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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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      EUN,LOM,LRE4,work-cmr-id:397640,http://demonstrations.wolfram.com:http://demonstrations.wolfram.com/ThePerturbedRat/,ilox,learning resource exchange,LRE metadata application profile,LRE

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