Chaos

An important topic within physics and mathematics in the past two decades has been that of chaos. The chaos theory states that even simple physical systems can behave in a complicated manner. This means that although we may understand the physical laws that control a system, it may be difficult to predict how it will behave. For example, we have a fairly good understanding of which processes control the weather, but forecasts are nonetheless often wrong.

A simple mathematical process called the Verhulst Equation illustrates the chaos theory:
Choose a number "a" between 2 and 4 and a number "x" between 0 and 1. Multiply a with x, and multiply the answer with 1-x. We then get a new number, which is used as a new x, and continue the process. The result is a series of numbers that seem almost random - chaos.

If "a" is allowed to vary, many odd things happen to the numerical sequence - phenomena that we also see in natural processes.

The Chaos program allows you to make melodies with the Verhulst Equation. You must determine the range within which "a" is to vary.

Click here to listen to an excerpt from Rolf Wallin's "Stonewave."