Understanding Natural Systems through Simple Dynamical Systems Modeling

Abstract

Undergraduate students at all levels are encouraged to “think critically.” We work toward this goal by connecting the theoretical concepts of computer modeling to a simple physical model constructed in lab . Students build a physical representation of a one-box model, consisting of reservoir, input, and output. They observe the steady-state system, then perturb the system by instantaneously doubling the rate of input. Students observe the response of the system as it arrives at a new steady state with increased input, output and volume. Students then construct a computer model of the same system, and observe that the computer produces results analogous to their observations. In subsequent exercises they modify their models in order to study more complicated systems. There are several advantages to this approach. 1) Students gain confidence in computer modeling by working with a system that they already understand well. 2) Computer modeling is a creative exercise in which students must both analyze a situa...