Submitted By The Authors The Julia Set, closely related to the Mandelbrot Set, is the set of converging points in a plane when tested with equation z=z2+c, using varying z values.

an attractor in the sense that values of z belonging to J c when further iterated continue to produce other values lying in J c

a set of points in the complex plane, just like a Mandelbrot set is, but computed with a slightly different approach

The inverse of the Mandelbrot set, using a single point from that set to generate a new unique set.

The set of all the points for a function of the form Z^2+C. The iterations will either approach zero, approach infinity, or get trapped

The boundary of the filled Julia set. Points in the Julia set are on the edge between points whose orbits escape and points whose orbits do not escape. Orbits of points in the Julia set also lie in the filed Julia set.

A set of complex numbers that do not diverge if iterated an infinite number of times via a simple equation.

In complex dynamics, the Julia set J(f)\, of a holomorphic function f\, informally consists of those points whose long-time behavior under repeated iteration of f\, can change drastically under arbitrarily small perturbations.