• DocumentCode
    1202252
  • Title

    Some Remarks on Oscillators Driven by a Random Force

  • Author

    Kac, Mark

  • Volume
    7
  • Issue
    4
  • fYear
    1960
  • fDate
    12/1/1960 12:00:00 AM
  • Firstpage
    476
  • Lastpage
    479
  • Abstract
    A brief and partly heuristic discussion of the problem of spacing of zeros of the displacement of an oscillator driven by a random force is given. Although no explicit results have been obtained, the problem is reduced to a study of a certain integral equation and equivalently, of a partial differential equation with a peculiar boundary condition. The boundary condition has previously been conjectured by Uhlenbeck and Wang.
  • Keywords
    Circuit noise; Circuit theory; Damping; Differential equations; Oscillators; Stochastic processes; Stochastic resonance; Temperature dependence;
  • fLanguage
    English
  • Journal_Title
    Circuit Theory, IRE Transactions on
  • Publisher
    ieee
  • ISSN
    0096-2007
  • Type

    jour

  • DOI
    10.1109/TCT.1960.1086715
  • Filename
    1086715