• DocumentCode
    1500502
  • Title

    Analog simulation of the dynamics of a van der Pol oscillator coupled to a Duffing oscillator

  • Author

    Chedjou, J.C. ; Fotsin, H.B. ; Woafo, P. ; Domngang, S.

  • Author_Institution
    Dept. de Phys., Univ. de Dschang, Cameroon
  • Volume
    48
  • Issue
    6
  • fYear
    2001
  • fDate
    6/1/2001 12:00:00 AM
  • Firstpage
    748
  • Lastpage
    757
  • Abstract
    This paper studies, with analog simulators, the dynamics of a system consisting of a van der Pol oscillator coupled to a Duffing oscillator. Amplitude-response curves are obtained in the case of internal resonance. The jump or hysteresis phenomenon is found. Various bifurcations are observed, and it is found that chaos can appear suddenly, through period-adding or through torus breakdown. The experimental results are compared with the numerical solutions
  • Keywords
    analogue simulation; bifurcation; chaos; coupled circuits; nonlinear dynamical systems; relaxation oscillators; Duffing oscillator; Van der Pol oscillator; amplitude-response curves; analog simulators; bifurcations; chaos; hysteresis phenomenon; internal resonance; period-adding; torus breakdown; Bifurcation; Biological system modeling; Chaos; Circuit simulation; Couplings; Density estimation robust algorithm; Numerical simulation; Oscillators; Perturbation methods; Resonance;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/81.928157
  • Filename
    928157
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1500502