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Missouri University of Science and Technology

Masters Theses

<p>Duffing equations<br />Differential equations

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A Study Of Duffing's Equation, Charles Kirby Murch Jan 1962

A Study Of Duffing's Equation, Charles Kirby Murch

Masters Theses

"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.