Numerical Analysis of Relaxation Oscillators Based on a Differential Geometric Approach

authored by
Tina Thiessen, Martin Gutschke, Philipp Blanke, Wolfgang Mathis, Franz Erich Wolter
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.

Type
Conference contribution
Pages
209-212
No. of pages
4
Publication date
2010
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Signal Processing, Electrical and Electronic Engineering
Electronic version(s)
https://ieeexplore.ieee.org/document/5595212 (Access: Closed)