Saeed, Khalid with N.L. Bach, "Chaos out of Stiff Models", 1992
ua435
While nonlinear combinations of multiple modes existing in complex oscillatory systems may generate chaotic behavior in real systems, the studies of chaos attempted in system dynamics have often resorted to forcing simplistic models of systems to chaos. This paper illustrates how chaotic modes have been constructed through the creation of mis-specifications and anomalies in the model structure and parameters. This process has not only reduced the models to artifacts with little relevance to problem solving but has also invariably introduced a stiff structure that is susceptible to considerable building up error as numerical integration methods are used with long simulation times. The paper concludes that a model must qualify as an empirically valid system by meeting the requirements of the normal system dynamics practice if the chaotic modes it generates are to be of practical value.