Observe the seemingly random path of a 2D "moth." Use turbo if you want to see the attractor at a high iteration. You may also try toying with the starting conditions of the moth. Just do not allow the x and/or y values start at zero because it will explode to infinity.
Some weird thing I discovered when I was bored. I might make a 3D version. The "moth" has two velocities, x and y. The y velocity approaches infinity as the moth approaches the y axis. Same goes for the v velocity. It is chaotic as its position is highly dependent on the starting position. Its path however, evolves around a set of values making this an example of an attractor.
