ChaosPro Home
Introduction
What's New
Palettes
Using Formulas
Layering in ChaosPro
Rendering
Fractal Parameter Windows
Windows
Menu
3D Transformations
Animations
Formula Compiler
Compatibility
Fractal Type Reference
Attractor
Bifurcation - Theory
Julia- and Mandelbrot Sets - Theory
Dynamic System
Theory
Parameters
Plasma
Lyapunov Space - Theory
IFS
LSystem
Quaternions
Tutorials
Appendix
CHAOSPRO 4.0
Release 4.0
.

Dynamic Systems

Basically fractal types Julia or Mandel are dynamic systems, too. So this fractal type should be named continuous dynamic system in contrast to iterative dynamic systems like Julia sets, Mandelbrot sets, Lyapunov spaces, Bifurcation diagrams etc.

An iterative dynamic system is obtained by calculating f(x), f(f(x)), f(f(f(x))), ... whereas a continuous dynamic system is a fractal consisting of a continuous curve, mostly obtained by solving a differential equation.