Julia set - Wikipedia
As mentioned above, the Julia set can be found as the set of limit points of the set of pre-images of (essentially) any given point. So we can try to plot the Julia set of a given function as follows.
Julia Set -- from Wolfram MathWorld
4 天之前 · The "filled-in" Julia set is the set of points which do not approach infinity after is repeatedly applied (corresponding to a strange attractor). The true Julia set is the boundary of the filled-in set (the set of "exceptional points").
Online Julia Set Plotter - ScienceDemos.org.uk
The Julia set is one of the best known examples of a fractal. It is a structure with an infinite amount of fine detail: you can zoom in on the edge of the fractal forever, and it will continue to reveal ever-smaller details.
Julia Set Explorer - syn-ce.github.io
This website lets you explore julia sets.
The Julia set - Complex Analysis
The Julia sets, defined by the equation (\ref{julia}), can take all kinds of shapes, and a small change in $c$ can change the Julia set very greatly. In 1979, with the help of computer, B. B. Mandelbrot studied the Julia sets and tried to classify all the possible shapes and came up with a new shape: the Mandelbrot Set.
5.6: The Julia Set - Mathematics LibreTexts
2023年5月28日 · The set we obtain with this equation is known as the Julia set. In fact, there is a different Julia set for almost every \(c\). Similarly as we did for the Mandelbrot set, we obtain a sequence of complex numbers \(z_n\) with \(n=0,1,2,\ldots\).
Julia Set - Virtual Math Museum
The boundary of the set of points that do NOT escape to infinity is called the Julia set of the function f. Julia set may be a continuous curve, or totally disconnected set, depending on the value of c.