Unformatted text preview: x t +1 + iy t +1 = ( x 2 t-y 2 t + c 1 ) + i 2 x t y t Equate real and imaginary parts: x t +1 = x 2 t-y 2 t + c 1 y t +1 = 2 x t y t + c 2 Mandelbrot Set : By varying c , ﬁnd those values for which the solution remains bounded (i.e. does not diverges to ∞ ). Julia Sets : Allow z to vary. Then for given c ﬁnd all values of z for which the solutions is unstable. 1...
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- Fall '10
- Complex number, Mandelbrot set, Complex Dynamics, Complex quadratic polynomial, Misiurewicz point