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Purpose: This work is intended to historically commemorate the one hundredth anniversary of the invention of a new type of electronic circuit, referred to in 1919 by Abraham and Bloch as a multivibrator and by Eccles and Jordan as a trigger relay (later known as a flip-flop). Design/methodology/approach: The author also considers the circuit-technical side of this new type of circuit, considering the technological change as well as the mathematical concepts developed in the context of the analysis of the circuit. Findings: The multivibrator resulted in a "circuit shape" which became one of the most applied nonlinear circuits in electronics. It is shown that at the beginning the multivibrator as well as the flip-flop circuits were used because their interesting properties in the frequency domain. Originality/value: Therefore, it is a very interesting subject to consider the history of the multivibrator as electronic circuits in different technologies including tube, transistors and integrated circuits as well as the mathematical theory based on the concept from electrical circuit theory. [ABSTRACT FROM AUTHOR]

Purpose – This paper seeks to give an outline about the geometric concept of electronic circuits, where the jump behavior of nonlinear circuits is emphasized. Design/methodology/approach – A sketch of circuit theory in a differential geometric setting is given. Findings – It is shown that the structure of circuit theory can be given in a much better way than by means of a description of circuits using concrete coordinates. Furthermore, the formulation of a concrete jump condition is given. Originality/value – In this paper, an outline is given about the state of the art of nonlinear circuits from a differential geometric point of view. Moreover, differential geometric methods were applied to two example circuits (flip flop and multivibrator) and numerical results were achieved. [ABSTRACT FROM AUTHOR]

This special issue "Theoretical Electrical Engineering (ISTET 2019) of COMPEL" contains a number of selected papers of the XX edition of the International Symposium on Theoretical Electrical Engineering (ISTET) that took place at the Technical University of Sofia, Bulgaria, from 21st to 24th July 2019 in the frames of the Days of Science of the Technical University of Sofia, 2019. The ISTET Symposium was founded by three outstanding experts in Theoretical Electrical Engineering: Prof. Oldrych Benda, Bratislava, Prof. Eugen Philippow, Ilmenau and Prof. Kamo S. Demirtchyan, Moscow, in 1978 in Smolenice near Bratislava. At the same time, the Special Issue is enriched with a few papers, which are related to the scientific scope of ISTET conferences. [Extracted from the article]