x[n+1]=c*x[n]*(1-x[n])where

dx/dt = c*x*(1-x)where

You can think about dynamical systems

- (if you are a computer graphics programmer): as a way to produce striking images.
- (if you are a mathematician):as iterated maps of the plane or algorithms that solve numerically systems of differential equations.
- (if you are a physicist):as a way to describe the behaviour of real-world things such as planetary motion,fluid flow,the weather,the Stock Exchange,etc

This may seem very complex, but from the point of view of the computer graphics programmer, it is very simple. In the end you have a formula that for a system described by two variables,like a pendulum in the plane, is a planar discrete system of the form:

x = f(x,y) y = g(x,y)When this formula is iterated starting from some initial point x0,y0 you are in fact solving numerically a differential equation, describing the behavior in time, of some physical system, like a pendulum, where x and y may be the space s along the trajectory and the speed v.

Maintained by Giuseppe Zito : Giuseppe.Zito@cern.ch