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Amplitude Stability in Oscillating Systems

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1 Author(s)
Norman R. Scott ; Department of Electrical Engineering, University of Michigan, Ann Arbor, Michigan

As a supplement to the Kryloff and Bogoliuboff method of determining amplitude of oscillation in quasilinear systems, a method based upon energy balance is presented. From the energy balance condition, a criterion for stability of oscillation is deduced for the case of one degree of freedom. The treatment is then generalized to systems of n degrees of freedom, and the n stability criteria are derived in terms of rates of change, with respect to amplitude, of the power supplied and dissipated in the n oscillations

Published in:

Proceedings of the IRE  (Volume:41 ,  Issue: 8 )