Title :
Amplitude Stability in Oscillating Systems
Author :
Scott, Norman R.
Author_Institution :
Department of Electrical Engineering, University of Michigan, Ann Arbor, Michigan
Abstract :
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
Keywords :
Circuit stability; Differential equations; Electrodes; Nonlinear equations; Oscillators; Polynomials; Power supplies; Senior members; Stability criteria; Voltage;
Journal_Title :
Proceedings of the IRE
DOI :
10.1109/JRPROC.1953.274296
