ABSTRACT
Chaos looks erratic. However, it isn'tjust a vast sea of disorder. Against a general backdrop of apparent randomness are some curious features. For example, continued increases of a control parameter, such as k in the logistic equation, don't necessarily bring increased degrees of chaos. Each systematic increase in the control parameter, no matter how slight, does bring about a different trajectory. (And hence, even within chaos, the parameter is king!) However, within the chaotic domain such an increase often leads to some type of regularity, a kind of order. All of those regularities are quite reproducible, for a given value of the control parameter. Curiously, the order usually lasts only over brief ranges of the control parameter.
