Masters Theses

Abstract

"This paper briefly reviews the geometric concepts associated with nonlinear differential equations and then proceeds to a study of the homogeneous van der Pol equation. After studying the method of Kryloff and Bogoliuboff for small values of the parameter €, the author makes a numerical study of the equation using Hamrning's Method for the numerical solution. Several trajectories and the phase plane are shown for E = 0.1, 1.0, and 5.0. The author then studies one of the analytic theories, i.e., the method of Cartwright and Littlewood, and indicates some of the other analyses for large €"--Abstract, p. ii

Advisor(s)

Johnson, Charles A.

Committee Member(s)

Joiner, James W., 1931-2013
McFarland, Charles E.
Rivers, Jack L.

Department(s)

Mathematics and Statistics

Degree Name

M.S. in Mathematics

Publisher

University of Missouri at Rolla

Publication Date

1964

Pagination

v 54 pages

Note about bibliography

Includes bibliographical references (page 53)

Rights

© 1964 Charles C. Limbaugh, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Thesis Number

T 1584

Print OCLC #

5958320

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Mathematics Commons

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