Electronic Realization of Chaotic Systems

Electronic Realization of Chaotic Systems

Proposal application for the Society of Physics Sigma Pi Sigma Undergraduate Research Award

Prepared by David Cross and Dr. Michael Braunstein

Department of Physics, Central Washington University

Abstract

The Central Washington University chapter of SPS is interested in experimentally investigating electronic realizations of chaotic systems. J.C. Sprott has reported on a class of chaotic differential equations that can, in principle, be simply realized using discrete electronic components.[i] These circuits can be used to easily investigate chaotic behavior in a simple system. This will be done by constructing a simple chaotic circuit and investigating the chaotic output, while varying the control parameters. We will use a computer interface that will allow us to automate the investigation of the relationship, collect data, and to vary initial conditions. Another aspect that we propose to investigate is the synchronization of two identical chaotic circuits.