Music

We are studying the relationships between instruments in a symphony using the methods of nonlinear time series analysis. This problem is being investigated by Katibeth Lybrand, Dr. Kulp, and Dr. Schlingmann.

Nonlinear Time Series Analysis

Many tools for nonlinear time series analysis assume that the elements of the time series are regularly spaced in time. That is, there is a fixed time interval between all consecutive measurements. However, real-life data is not always regularly spaced. Can the tools of nonlinear time series analysis still be used to analyze these time series? If so, under what conditions? Dr. Kulp is currently working on this project.

Past Problems:

Double Pendulum: Kevin Roberts built a double pendulum. Josh Hoskins wrote a computer program to model the motion of the pendulum. Josh also worked with Dr. Kulp in recording the motion of the double pendulum with a camcorder. They used Mathematica to extract the position of each pendulum from each frame of the video.