This work was carried out with the assistance of NSERC and ITRC. The original inspiration for this paper and its companion paper occurred in a course on chaos given by Professor M. A. H. Nerenberg. Gregory W. Frank and J. Graham Monroe, the co-authors for the companion paper, were of course of great help. I am also grateful to Professors Nerenberg, G.C. Essex, and T. Lookman for many useful discussions. Professors David Stoutemyer and Patrick Mann provided kind assistance with the plot appearing in Figure 2. The literature search was assisted by Ms. Pauline Seto.