CXVI. Some general theorems for non-linear systems possessing resistance
- 1 October 1951
- journal article
- research article
- Published by Taylor & Francis in Journal of Computers in Education
- Vol. 42 (333) , 1150-1160
- https://doi.org/10.1080/14786445108561361
Abstract
This paper introduces some ideas and general theorems pertaining to non-linear or mechanical systems. Thus in the case of a resistive network, the dissipation is divided into two parts—the “content” and “co-content”—which are duals of each other. The dissipation itself has stationary properties in linear but not (in general) in non-linear networks, but it can be shown that the “content” and “co-content” have stationary and additive properties in the non-linear case. The idea of “content” is extended to reactive systems, and it is shown that the total content of any system in motion is an invariant. This paper is intended as a companion to the paper by E. C. Cherry.Keywords
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