Numerical Analysis of Relaxation Oscillators Based on a Differential Geometric Approach

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 publicationICSES 2010 International Conference on Signals and Electronic Circuits
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages209-212
Number of pages4
ISBN (electronic)978-83-9047-4-2
ISBN (print)978-1-4244-5307-8
Publication statusPublished - 2010
EventInternational Conference on Signals and Electronic Systems, ICSES'10 - Gliwice, Poland
Duration: 7 Sept 201010 Sept 2010

Abstract

The difficulties to analyse the state space of a special class of nonlinear electronic circuits are illustrated and a new method to treat these problems is presented. Theoretical aspects of circuit equations from a differential geometric point of view are considered and methods for solving circuit equations by means of algorithms from computational differential geometry are presented. In this paper differential geometric methods were applied to a relaxation oscillator and numerical results were achieved. We describe the behaviour of an emitter-coupled multivibrator with differential algebraic equations and compute its state space numerically.

ASJC Scopus subject areas

Cite this

Numerical Analysis of Relaxation Oscillators Based on a Differential Geometric Approach. / Thiessen, Tina; Gutschke, Martin; Blanke, Philipp et al.
ICSES 2010 International Conference on Signals and Electronic Circuits. Institute of Electrical and Electronics Engineers Inc., 2010. p. 209-212 5595212.

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

Thiessen, T, Gutschke, M, Blanke, P, Mathis, W & Wolter, FE 2010, Numerical Analysis of Relaxation Oscillators Based on a Differential Geometric Approach. in ICSES 2010 International Conference on Signals and Electronic Circuits., 5595212, Institute of Electrical and Electronics Engineers Inc., pp. 209-212, International Conference on Signals and Electronic Systems, ICSES'10, Gliwice, Poland, 7 Sept 2010. <https://ieeexplore.ieee.org/document/5595212>
Thiessen, T., Gutschke, M., Blanke, P., Mathis, W., & Wolter, F. E. (2010). Numerical Analysis of Relaxation Oscillators Based on a Differential Geometric Approach. In ICSES 2010 International Conference on Signals and Electronic Circuits (pp. 209-212). Article 5595212 Institute of Electrical and Electronics Engineers Inc.. https://ieeexplore.ieee.org/document/5595212
Thiessen T, Gutschke M, Blanke P, Mathis W, Wolter FE. Numerical Analysis of Relaxation Oscillators Based on a Differential Geometric Approach. In ICSES 2010 International Conference on Signals and Electronic Circuits. Institute of Electrical and Electronics Engineers Inc. 2010. p. 209-212. 5595212
Thiessen, Tina ; Gutschke, Martin ; Blanke, Philipp et al. / Numerical Analysis of Relaxation Oscillators Based on a Differential Geometric Approach. ICSES 2010 International Conference on Signals and Electronic Circuits. Institute of Electrical and Electronics Engineers Inc., 2010. pp. 209-212
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title = "Numerical Analysis of Relaxation Oscillators Based on a Differential Geometric Approach",
abstract = "The difficulties to analyse the state space of a special class of nonlinear electronic circuits are illustrated and a new method to treat these problems is presented. Theoretical aspects of circuit equations from a differential geometric point of view are considered and methods for solving circuit equations by means of algorithms from computational differential geometry are presented. In this paper differential geometric methods were applied to a relaxation oscillator and numerical results were achieved. We describe the behaviour of an emitter-coupled multivibrator with differential algebraic equations and compute its state space numerically.",
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