Abstract
This chapter highlights one of the chaotic treatments in the route-to-chaos experiment. A study of complex dynamics—in particular, chaotic dynamics—requires a sufficiently long time series of data. In this experiment, chaotic treatment is considered in more detail by examining some temporal patterns predicted by the chaotic attractor. Sensitivity to initial conditions is the subject of a follow-up experiment designed to test hallmark property of chaos. The model-predicted consequences of small perturbations to population numbers near the most sensitive region of the chaotic attractor—the hot spot—are dramatically borne out by the experimental data. In addition to corroborating the influence of the chaotic attractor on the beetle populations, the hot-spot experiment also serves as an interesting demonstration of controlling chaos. Temporal patterns in chaos are complicated. The investigation of temporal patterns in the chaos treatment leads to another insights into modeling the dynamics of biological populations. Recurrent temporal pattern that is observed in the experimental data accounts for the lattice effect, a pattern arising from the fact that animals come in whole numbers and data necessarily lie on a discrete lattice of points in state space.
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