Author

Jason Terry

Publication Date

2-14-2014

Abstract

A common process in ODE theory is to linearize an ODE system about an equilibrium point to determine the local stability properties of its orbits. Less common are results that quantify the domain of stability in the original system. We study a class of ODE systems where the domain of nonlinear stability is significantly small given the parameters of the problem. The aim of this paper is to attempt to quantify this region of stability.

Degree Name

Mathematics

Level of Degree

Doctoral

Department Name

Mathematics & Statistics

First Advisor

Lorenz, Jens

First Committee Member (Chair)

Pereyra, M. Cristina

Second Committee Member

Lau, Stephen

Third Committee Member

Sorrentino, Francesco

Language

English

Keywords

stability, system, quantify, nonlinear, differential, equation

Document Type

Dissertation

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