A study of Duffing's equation

Author

Charles Kirby Murch

Abstract

"The unforced cases of Duffing's equation and the equation of the simple pendulum are considered by imposing certain conditions on a linear partial differential equation. Geometrical arguments are presented which lead to solutions of the special cases considered.

Undetermined functions of integration in the solutions limit their use to the approximation of systems with small non-linearity"--Abstract, page ii.

Advisor(s)

Rivers, Jack L.

Committee Member(s)

Lund, Louis H., 1919-1998
Erkiletian, Dickran Hagop, Jr.
Lee, Ralph E., 1921-2010

Department(s)

Physics

Degree Name

M.S. in Physics

Publisher

Missouri School of Mines and Metallurgy

Publication Date

1962

Pagination

vi, 23 pages

Note about bibliography

Includes bibliographical references (page 22).

Rights

© 1962 Charles Kirby Murch, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Duffing equationsDifferential equations, PartialMathematical models

Thesis Number

T 1437

Print OCLC #

5949493

Electronic OCLC #

987913310

Recommended Citation

Murch, Charles Kirby, "A study of Duffing's equation" (1962). Masters Theses. 2894.
https://scholarsmine.mst.edu/masters_theses/2894