• DocumentCode
    1164209
  • Title

    The Stability of Oscillations in Nonlinear Networks

  • Author

    Willems, J.

  • Volume
    15
  • Issue
    3
  • fYear
    1968
  • fDate
    9/1/1968 12:00:00 AM
  • Firstpage
    284
  • Lastpage
    286
  • Abstract
    In this correspondence, a necessary condition for the stability of oscillations in nonlinear networks is proved. It is shown that this condition is necessary and sufficient for second-order systems; it is also equivalent to the well-known Loeb criterion for second-order systems.
  • Keywords
    Nonlinear oscillations; Oscillations; Asymptotic stability; Circuit stability; Circuit theory; Cities and towns; Differential equations; Matrices; Tree graphs;
  • fLanguage
    English
  • Journal_Title
    Circuit Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9324
  • Type

    jour

  • DOI
    10.1109/TCT.1968.1082831
  • Filename
    1082831