Overflow oscillations with two's complement overflow.
The following map is an example of a discontinuous area-preserving map
of the square [-1,1]x[-1,1] to itself that models the behaviour of
a certain type of digital linear filter.
Point, click and see what you can find in the black square
below!
This Java applet above iterates the mapping (x,y)-> (y, g(-x+ay))
where a=0.5 and x and y are in the range [-1,1] shown above.
g(y) is a periodic function of y with period 2 such that g(y)=y if y
is in the interval [-1,1].
Point the mouse and click to start a new trajectory going. The applet
selects a new colour at random each time.
P.Ashwin@ex.ac.uk Last modified: 14th March 2001