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 Committee Member (Chair)
Jens Lorenz
Second Committee Member
Maria Cristina Pereyra
Third Committee Member
Stephen Lau
Fourth Committee Member
Francesco Sorrentino
Language
English
Keywords
stability, system, quantify, nonlinear, differential, equation
Document Type
Dissertation
Recommended Citation
Terry, Jason. "Quantification of Stability in Systems of Nonlinear Ordinary Differential Equations." (2014). https://digitalrepository.unm.edu/math_etds/48
