Qualitative Analysis to a Nonlinear System

Authors

Pengcheng Xiao, University of Texas-Pan American

Date of Award

8-2011

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Dr. Zhaosheng Feng

Second Advisor

Dr. Baofeng Feng

Third Advisor

Dr. Tim Huber

Abstract

In this thesis, we first present a qualitative analysis to a nonlinear system under certain parametric conditions. Then for a special case, we make a series of variable transformation and apply the Prelle-Singer Method to find the first integrals of the simplified equations without complicated calculations. Through the inverse transformations we get the first integrals of the original equation. Finally, we use the same Prelle-Singer method to get the first integral for an extended nonlinear system.

Comments

Copyright 2011 Pengcheng Xiao. All Rights Reserved.

https://www.proquest.com/dissertations-theses/qualitative-analysis-nonlinear-system/docview/896956569/se-2?accountid=7119

Granting Institution

University of Texas-Pan American