Turning points of nonlinear circuits

García de la Vega, Ignacio and Riaza Rodriguez, Ricardo (2016). Turning points of nonlinear circuits. In: "10th International Conference on Scientific Computing in Electrical Engineering (SCEE)", Julio 2014, Wuppertal, Alemania. ISBN 978-3-319-30399-4. pp. 21-29. https://doi.org/10.1007/978-3-319-30399-4_3.

Description

Title: Turning points of nonlinear circuits
Author/s:
  • García de la Vega, Ignacio
  • Riaza Rodriguez, Ricardo
Item Type: Presentation at Congress or Conference (Article)
Event Title: 10th International Conference on Scientific Computing in Electrical Engineering (SCEE)
Event Dates: Julio 2014
Event Location: Wuppertal, Alemania
Title of Book: Proceedings of 10th International Conference on Scientific Computing in Electrical Engineering - SCEE 2014
Date: 2016
ISBN: 978-3-319-30399-4
Subjects:
Faculty: E.T.S.I. Telecomunicación (UPM)
Department: Matemática Aplicada a las Tecnologías de la Información y las Comunicaciones
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Bifurcation theory plays a key role in the qualitative analysis of dynamical systems. In nonlinear circuit theory, bifurcations of equilibria describe qualitative changes in the local phase portrait near an operating point, and are important from both an analytical and a numerical point of view. This work is focused on quadratic turning points, which, in certain circumstances, yield saddle-node bifurcations. Algebraic conditions guaranteeing the existence of this kind of points are well-known in the context of explicit ordinary differential equations (ODEs). We transfer these conditions to semiexplicit differential-algebraic equations (DAEs), in order to impose them to branch-oriented models of nonlinear circuits. This way, we obtain a description of the conditions characterizing these turning points in terms of the underlying circuit digraph and the devices’ characteristics.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainMTM 2010-15102UnspecifiedUnspecifiedUnspecified

More information

Item ID: 46525
DC Identifier: http://oa.upm.es/46525/
OAI Identifier: oai:oa.upm.es:46525
DOI: 10.1007/978-3-319-30399-4_3
Official URL: https://link.springer.com/chapter/10.1007%2F978-3-319-30399-4_3
Deposited by: Memoria Investigacion
Deposited on: 11 Sep 2017 17:44
Last Modified: 11 Sep 2019 22:30
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