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A Note on Moving Poles in Nonlinear Oscillating Systems

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1 Author(s)
Wrigley, W.B. ; Georgia Institute of Technology, Atlanta, Ga.

Since poles of the complex imnmittance of a linear system represent the decrements and frequencies of rotating phasors in the linear time domain, it is suggested that a nonlinear system might be represented by moving poles whose instaneous decrements and frequencies are associated with phasors rotating in the nonlinear or time-distorted phase space. This idea is applied to the analysis of a class of nonlinear oscillation generators of the second order which is described by the differential equation, ¿-N1(¿, X)=0.

Published in:

Proceedings of the IRE  (Volume:41 ,  Issue: 6 )

Date of Publication:

June 1953

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