Bifurcation in complex quadratic polynomial and some folk theorems involving the geometry of bulbs of the mandelbrot set
The Mandelbrot set M is a subset of the parameter plane for iteration of the complex quadratic polynomial Q c ( z ) = z 2 + c . M consists of those c values for which the orbit of 0 is bounded. This set features a basic cardioid shape from which hang numerous 'bulbs' or 'decorations...
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