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Analysis of jump behavior in nonlinear electronic circuits using computational geometric methods

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4 Author(s)
Mathis, W. ; TET, Leibniz Univ. Hannover, Hannover, Germany ; Blanke, P. ; Gutschke, M. ; Wolter, F.-E.

It will seek the difficult problem of analysis of operating points of nonlinear electronic circuits, a novel methodical manner. In this work we describe the behavior of electrical circuits by a mixture of algebraic and differential equations. We show how to use a geometric interpretation and geometric algorithms to explicitly compute operation points for a special class of electronic circuits. We demonstrate this using the Van-Der-Pol-Oscillator in two different examples. To that end, we discuss how to trace curves on folded manifolds and show the problem on a suitable representation.

Published in:

Nonlinear Dynamics and Synchronization, 2009. INDS '09. 2nd International Workshop on

Date of Conference:

20-21 July 2009

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