dc.identifier.uri |
http://dx.doi.org/10.15488/2731 |
|
dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/2757 |
|
dc.contributor.author |
Thiessen, Tina
|
|
dc.contributor.author |
Mathis, Wolfgang
|
|
dc.date.accessioned |
2018-02-09T09:27:50Z |
|
dc.date.available |
2018-02-09T09:27:50Z |
|
dc.date.issued |
2011 |
|
dc.identifier.citation |
Thiessen, T.; Mathis, W.: Geometric dynamics of nonlinear circuits and jump effects. In: COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering 30 (2011), Nr. 4, S. 1307-1318. DOI: https://doi.org/10.1108/03321641111133217 |
|
dc.description.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. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Bingley : Emerald Group Publishing Ltd. |
|
dc.relation.ispartofseries |
COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering 30 (2011), Nr. 4 |
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dc.rights |
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. |
|
dc.subject |
Circuits |
eng |
dc.subject |
Differential geometry |
eng |
dc.subject |
Design/methodology/approach |
eng |
dc.subject |
Differential geometric method |
eng |
dc.subject |
Differential geometry |
eng |
dc.subject |
Geometric concepts |
eng |
dc.subject |
Jump conditions |
eng |
dc.subject |
Nonlinear circuit |
eng |
dc.subject |
Numerical results |
eng |
dc.subject |
State of the art |
eng |
dc.subject |
Differentiation (calculus) |
eng |
dc.subject |
Geometry |
eng |
dc.subject |
Networks (circuits) |
eng |
dc.subject |
Numerical methods |
eng |
dc.subject |
Vibrators |
eng |
dc.subject |
Circuit theory |
eng |
dc.subject.ddc |
620 | Ingenieurwissenschaften und Maschinenbau
|
ger |
dc.subject.ddc |
510 | Mathematik
|
ger |
dc.title |
Geometric dynamics of nonlinear circuits and jump effects |
|
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.issn |
0332-1649 |
|
dc.relation.doi |
https://doi.org/10.1108/03321641111133217 |
|
dc.bibliographicCitation.issue |
4 |
|
dc.bibliographicCitation.volume |
30 |
|
dc.bibliographicCitation.firstPage |
1307 |
|
dc.bibliographicCitation.lastPage |
1318 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|