A numerical study of Van Der Pol's nonlinear differential equation for various values of the parameter E.

Author

Charles C. Limbaugh

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

Recommended Citation

Limbaugh, Charles C., "A numerical study of Van Der Pol's nonlinear differential equation for various values of the parameter E." (1964). Masters Theses. 4184.
https://scholarsmine.mst.edu/masters_theses/4184