Communication Dans Un Congrès Année : 2005

A symbolic-numeric method to analyse nonlinear differential equations in Fourier domain

Résumé

This paper presents a method to express, in symbolic form, any system of algebrico--differential equations into a nonlinear system of Fourier coefficient of the unknowns. The solution of the nonlinear equations generated in the last step of the method gives an approximation of the steady--state solution of the differential equations. Main applications should be found in the domain of ultra--stable oscillator circuits. The paper explains how to face with the two main difficulties of this symbolic computation: the processing of the nonlinear components and the control of the large number of coefficients. The solution proposed is inspired from compiler construction techniques.

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Dates et versions

hal-00345251 , version 1 (08-12-2008)

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  • HAL Id : hal-00345251 , version 1

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Nicolas Ratier, Michaël Bruniaux. A symbolic-numeric method to analyse nonlinear differential equations in Fourier domain. 7th WSEAS International Conference on Mathematical Methods and Computational Techniques in Electrical Engineering, Oct 2005, Sofia, Bulgaria. pp.208-213. ⟨hal-00345251⟩
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