Abstract: | |
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. © Emerald Group Publishing Limited.
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License of this version: | Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich. |
Publication type: | Article |
Publishing status: | publishedVersion |
Publication date: | 2011 |
Keywords english: | Circuits, Differential geometry, Design/methodology/approach, Differential geometric method, Differential geometry, Geometric concepts, Jump conditions, Nonlinear circuit, Numerical results, State of the art, Differentiation (calculus), Geometry, Networks (circuits), Numerical methods, Vibrators, Circuit theory |
DDC: | 620 | Ingenieurwissenschaften und Maschinenbau, 510 | Mathematik |
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