ABSTRACT

This chapter looks at various nonlinear equations that can give rise to chaos. Books (including this one) and technical papers on chaos tend to dwell to a disproportionate extent on the logistic equation (Eq. 10.1). What, you may ask, is the big deal about the logistic equation? Also, aren't there any other equations that produce chaos when iterated? The logistic equation is popular because it's simple and shows several key concepts. For example, it shows fixed-point attractors, perioddoubling (limit cycles), and chaos (Fig. 13.1). Now it's time to see some other equations that lead to chaos and their distinctive features.