So far I have found:
Author: Usui
Journal Journal of the Institution of Electrical Engineers of Japan — 1931, Volume 51, pp. 393-403
Abstract:
A mathematical paper in which formulaelig are derived, which may be applied to determine the characteristics of oscillators of the negative resistance type. One of the formulaelig may be used to explain the frequency variations of self-excited triode oscillators. The disadvantages of previously publ...
Three references that may or may not be useful:
1. K. Steimel . Die Stabilität und die Seibsterregung elektrischer Kreise mit Organen fallender charakteristik. Z. HF-Technik (1930) - cited in Usui's work as well.
Professor Leon O. Chua cites these two pioneering works in his paper Negative resistance devices:
2. Hull, Albert W. "The Dynatron: A Vacuum Tube Possessing Negative Electric Resistance." Radio Engineers, Proceedings of the Institute of 6.1 (1918): 5-35.
3. Turner, L. B. "The Kallirotron, an Aperiodic Negative-Resistance Triode Combination." Radio Rev. Bd 1 (1920): 317-329.
May be:
M. Girard, "Girard on the resistance of solids," The Monthly Review, or Literary Journal (By Ralph Griffiths, G. E. Griffiths) (1799)
In discussing absolute negative resistance of solids charged solely with their own weight, M. Girard notices what neglect of circumstances led Euler to the paradox, that heavy solid, prismatic, or cylindrical, standing vertically on a fixed plane, cannot beneath its own weight, to whatever height it is raised*.
* The absolute negative resistance of solids, in contradistinction to the absolute positive, is that of the fibres of a body against the action of a power tending to compress them, and in a direction parallel to their length.
Taken from: The Monthly Review, or Literary Journal (By Ralph Griffiths, G. E. Griffiths) (1799)
One would not believe how old are some of the findings. Well, the foundation of all is physics (and, of course, mathematics). The debate above is a beautiful example of this. And all debaters have done a lot of work.
Similar research can be done for approximation of filters. See my questions about it.
:-)
Josef - where can I find your fiolter contribution? I am specialized on filters.
Lutz vW
Hi Lutz,
there is all You need. I think that it is very "pretty" material.
Josef
https://www.researchgate.net/post/Do_you_want_to_know_the_basic_papers_about_approximations_of_filters_See_attachment?_tpcectx=profile_highlights
Any electrical element having the volt-Ampere characteristic in the second or fourth quadrant consumes negative power and hence possesses negative resistance. In oscillators this negative resistance just balance the positive resistance so that the dissipation equals the generation. in this case sustained oscillation takes place.
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