ABSTRACT
We've talked about attractors and pseudo phase space earlier. They are two of the most important and basic ideas in chaos. It's time now for a closer look.
We saw in the preceding chapter that the idea of pseudo phase space is important and useful. One advantage is that it only requires measurements of one variable, even though the dynamical system might involve several or many variables. (Measuring many variables at the same time is often difficult or impossible. A standard phase space graph in those cases is incomplete at best.) Another advantage is that pseudo phase space plots can help distinguish highly deterministic or chaotic data from negligibly deterministic (random) data, in systems that have low (three or fewer) dimensions. For example, the preceding chapter discussed four ways to use pseudo phase space to help find determinism in data. In this chapter, we'll see yet another way.
