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Rendering of the inside structure of the generalized M set period bulbs based on the pre-period. (English) Zbl 1157.37016

By modifying the classical escape-time method, authors render the inside structure of the generalized Mandelbrot set period bulb, and study the fractal structure of the inside of the generalized Mandelbrot set period bulb.

MSC:

37F45 Holomorphic families of dynamical systems; the Mandelbrot set; bifurcations (MSC2010)
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References:

[1] B. B. Mandelbrot, The Fractal Geometry of Nature (W. H. Freeman, San Francisco, 1982) pp. 5–47.
[2] H. O. Peitgen and D. Saupe, The Science of Fractal Images (Springer-Verlag, Berlin, 1988) pp. 137–218.
[3] X. Wang, Fractal Mechanism of the Generalized M-J Set (Dalian University of Technology Press, Dalian, 2002) pp. 41–42.
[4] DOI: 10.1038/scientificamerican0786-16
[5] DOI: 10.1016/0097-8493(85)90022-6
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