ABSTRACT
The concept of chaos, as applied to nonlinear systems, is an exciting research
topic of recent interest especially from the perspective of physiological signals.
Almost all natural or real-world systems are nonlinear in nature and evolve
with respect to some parameter such as time or space. As described in the
previous chapter, systems that evolve with respect to time can be represented
by a time series. Nonlinear systems often display behavior which looks random
but, in fact, may be attributed to deterministic chaos. Figure 3.1 shows such
a time series which, on the surface, looks random. In reality, the time series
is generated by the recursive quadratic equation xn+1 = rxn(1− xn), known as the logistic map.
