Differential Geometric Methods for Jump Effects in Nonlinear Circuits

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Authors

  • Tina Thiessen
  • Martin Gutschke
  • Philipp Blanke
  • Wolfgang Mathis
  • Franz Erich Wolter
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Details

Original languageEnglish
Title of host publicationProceedings of Nonlinear Dynamics of Electronic Systems
Subtitle of host publicationNDES 2012
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages124-128
Number of pages5
ISBN (electronic)9783800734443
Publication statusPublished - 2012
EventNonlinear Dynamics of Electronic Systems, NDES 2012 - Wolfenbuttel, Germany
Duration: 11 Jul 201213 Jul 2012

Abstract

We present efficient algorithms for the simulation of problematic circuits with fast switching behavior based on the idea of tracing significant sets on the state space manifold. The switching behavior is represented by "jumps" from one part of the manifold to another. Our approach makes a regularization of the circuit unnecessary. In this article, we extend our approach to circuits with higher codimensions and jump spaces and verify the functionality by the application to a simple MOS flip flop. Furthermore, we show how to visualize the phenomena by using a special projection.

ASJC Scopus subject areas

Cite this

Differential Geometric Methods for Jump Effects in Nonlinear Circuits. / Thiessen, Tina; Gutschke, Martin; Blanke, Philipp et al.
Proceedings of Nonlinear Dynamics of Electronic Systems: NDES 2012. Institute of Electrical and Electronics Engineers Inc., 2012. p. 124-128 6290079.

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Thiessen, T, Gutschke, M, Blanke, P, Mathis, W & Wolter, FE 2012, Differential Geometric Methods for Jump Effects in Nonlinear Circuits. in Proceedings of Nonlinear Dynamics of Electronic Systems: NDES 2012., 6290079, Institute of Electrical and Electronics Engineers Inc., pp. 124-128, Nonlinear Dynamics of Electronic Systems, NDES 2012, Wolfenbuttel, Germany, 11 Jul 2012. <https://ieeexplore.ieee.org/document/6290079>
Thiessen, T., Gutschke, M., Blanke, P., Mathis, W., & Wolter, F. E. (2012). Differential Geometric Methods for Jump Effects in Nonlinear Circuits. In Proceedings of Nonlinear Dynamics of Electronic Systems: NDES 2012 (pp. 124-128). Article 6290079 Institute of Electrical and Electronics Engineers Inc.. https://ieeexplore.ieee.org/document/6290079
Thiessen T, Gutschke M, Blanke P, Mathis W, Wolter FE. Differential Geometric Methods for Jump Effects in Nonlinear Circuits. In Proceedings of Nonlinear Dynamics of Electronic Systems: NDES 2012. Institute of Electrical and Electronics Engineers Inc. 2012. p. 124-128. 6290079
Thiessen, Tina ; Gutschke, Martin ; Blanke, Philipp et al. / Differential Geometric Methods for Jump Effects in Nonlinear Circuits. Proceedings of Nonlinear Dynamics of Electronic Systems: NDES 2012. Institute of Electrical and Electronics Engineers Inc., 2012. pp. 124-128
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