The analysis of the periodic orbit for a delay differential equation

Author

Katherine A. York

Date of Award

5-1991

Degree Type

Thesis

Degree Name

Master of Science

Major

Mathematics

Major Professor

G.S. Jordan

Abstract

In this thesis, stability of limit cycle solutions of the Mackey-Glass delay differential equation are analyzed. For a given set of parameter values, the T-Period orbit is calculated and the stability of that T-Period orbit is analyzed. As one of the parameters in the equation is varied, a family of T-Period orbits is generated and at a critical value of that parameter that T-Period orbit loses its stability to a 2T-Periodic orbit.

Recommended Citation

York, Katherine A., "The analysis of the periodic orbit for a delay differential equation. " Master's Thesis, University of Tennessee, 1991.
https://trace.tennessee.edu/utk_gradthes/12574