As a recent example, physicists have found evidence that the motion of Pluto may be chaotic. Fractals Benoit Mandelbrot, an IBM researcher, developed a new branch a mathematics that was capable of describing and analyzing the irregular geometry of the natural world. He called his new geometric structures fractals. At first, chaos theory and fractal theory seemed totally unrelated. Upon closer inspection, it becomes apparent that they are closely related.
Fractals are self-similar structures.
That is, a fractal looks exactly the same, no matter on what scale the fractal is viewed. For instance, consider a fractal picture the size of sheet of paper. Zoom in on one tiny section and magnify this section to the size of the original fractal. Both the original and the enlarged section will be identical. Chaotic dynamical systems have strange attractors.