Sensitivity analysis of self-excited oscillations in non-linear systems: an application to electronic oscillators
Ball, Ernest Charles
Thaler, G. J.
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Electronic oscillators are studied as an application of the general method in the parameter plans of analyzing non-linear systems with self-excited oscillations. Computational methods are developed which avoid the lengthy calculations required by the general method for the second and third order systems which arise. The single parameter and multi-parameter sensitivity of the frequency characteristics are determined and it is demonstrated that these sensitivity measures may be used to determine the best configurations of networks to be used to minimize sensitivity to specific parameters. The method employed suggests application to the frequency characteristics of passive and active filters. A specific problem illustrating the failure of the C=0ontour in the parameter plans to complete delineate regions of stable and unstable solutions to the system differential equation is included in the appendix. No solution is given but suggestions as to how this apparent paradox arises, are made.
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