• DocumentCode
    1185073
  • Title

    Analysis of a ring of mutually coupled van der Pol oscillators with coupling delay

  • Author

    Kouda, Akihiro ; Mori, Shinsaku

  • Volume
    28
  • Issue
    3
  • fYear
    1981
  • fDate
    3/1/1981 12:00:00 AM
  • Firstpage
    247
  • Lastpage
    253
  • Abstract
    The structure and stability of the single modes of a ring consisting of three van der Pol oscillators with coupling delay are investigated by using the nonlinear mode analysis. It is found that two single modes are stable in some intervals containing \\Delta = \\pi(n\´- 1), n\´= 1, 2, 3,\\cdots ; \\Delta : delay time and that one of these modes becomes unstable for other values of A, and the relationships between the modes of oscillation and delay time are clarified. The numerical results are compared with the experimental measurements, and the satisfactory agreement is obtained between them.
  • Keywords
    Van der Pol oscillators; Combinatorial mathematics; Coupled mode analysis; Delay effects; Difference equations; Differential equations; Frequency; Mutual coupling; Nonlinear equations; Optical coupling; Ring oscillators;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/TCS.1981.1084964
  • Filename
    1084964
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1185073