Critical Orbit

Robert P. Munafo, 1997 Nov 20.

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The orbit of Z₀ = 0+0i for a given value of C. It is called the "critical orbit" in discussions of Julia sets, where iteration is done on different Z₀ values with the same C value. The origin 0+0i and its orbit are called "critical" because the behavior of this orbit is directly related to what type of Julia set you're looking at.

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From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo.     Mu-ency index

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