• DocumentCode
    932353
  • Title

    Amplitude Stability in Oscillating Systems

  • Author

    Scott, Norman R.

  • Author_Institution
    Department of Electrical Engineering, University of Michigan, Ann Arbor, Michigan
  • Volume
    41
  • Issue
    8
  • fYear
    1953
  • Firstpage
    1031
  • Lastpage
    1034
  • 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;
  • fLanguage
    English
  • Journal_Title
    Proceedings of the IRE
  • Publisher
    ieee
  • ISSN
    0096-8390
  • Type

    jour

  • DOI
    10.1109/JRPROC.1953.274296
  • Filename
    4051436
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=932353