Complex Dynamics
General
Complex dynamics is the iteration of functions of values in the complex plane.
This often give rise to very intricate and beautiful fractals. I have written
a program for calculating those pictures. You can find it in my downloads
section. In my albums section you can view a few fractals I have drawn with
this program.
Mandelbrot set
This is the so called bifurcation diagram of a complex function. It depends critically
on a complex number C that is added to the function. Then one sees wether iteration of
the function tends to infinity.
Julia set
The Julia set is the closure of the set of repelling fix points under iteration of
a function. One way of calculating the Julia set is to simply iterate the function
in a complex area and see what points tend to infinity.