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Mandelpinski Rings around Sierpinski Holes

Mandelpinski Rings around Sierpinski Holes

Hye Gyong Jang / Sin Hyok Pak

97,56 €
IVA incluido
Disponible
Editorial:
KS OmniScriptum Publishing
Año de edición:
2025
Materia
Matemáticas
ISBN:
9783639863420
97,56 €
IVA incluido
Disponible

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Sobre IBD

In recent years, the theory of complex dynamics has attracted a lot of attention due to the important role that they play in various fields of applications.In this book, we study the Mandelpinski structure in the parameter plane of McMullen family. Mandelpinski structure is usually described as a certain fractal structure associated with baby Mandelbrot sets and Sierpinski holes in the parameter plane of McMullen family. There have been discovered many Mandelpinski structures such as Mandelpinski ring, Mandelpinski spokes and Mandelpinski maze. Mandelpinski ring is a curve passing thorough the centers of baby Mandelbrot sets and Sierpinski holes alternately. We construct a new fractal structure in the dynamical plane and parameter plane of McMullen family. This structure consists of many simple closed curves lying around Sierpinski holes and passing through special parameters such as superstable parameters and escape parameters.

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