chapter  11
24 Pages


BySteven H. Strogatz

Back in Chapter 9, we found that the solutions of the Lorenz equations settle down to a complicated set in phase space. This set is the strange attractor. As Lorenz (1963) realized, the geometry of this set must be very peculiar, something like an “infinite complex of surfaces.” In this chapter we develop the ideas needed to describe such strange sets more precisely. The tools come from fractal geometry.