论文信息 - Dynamics of a Family of Quadratic Maps in the Quaternion Space

Dynamics of a Family of Quadratic Maps in the Quaternion Space

The dynamics of a family of quadratic maps in the quaternion space is investigated. In particular, connectivity of the filled-in Julia sets is completely determined. It is shown that the connectedness locus of this family is not equal to what we call the quaternionic Mandelbrot set. Hyperbolic components will also be completely characterized.

Shizuo Nakane

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