Cubic polynomials with a parabolic point

Details Cubic polynomials with a parabolic point Cubic polynomials with a parabolic point

2007-12-20

arxiv.org/abs/0712.3372v1

Mathematics

Dynamical Systems

Scientific paper

We consider the family of cubic polynomials with a simple parabolic fixed
point. We prove that the boundary of the immediate basin of attraction of the
parabolic point is a Jordan curve and give a description of the dynamics.

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