• DocumentCode
    1194554
  • Title

    Experimental confirmation of the period-adding route to chaos in a nonlinear circuit

  • Author

    Pei, Liu-qing ; Guo, Fen ; Wu, Shu-xian ; Chua, Leon O.

  • Volume
    33
  • Issue
    4
  • fYear
    1986
  • fDate
    4/1/1986 12:00:00 AM
  • Firstpage
    438
  • Lastpage
    442
  • Abstract
    Experimental confirmation has been made on a negativeresistance oscillator circuit which exhibits the new period-adding route to chaos recently reported by Kaneko on a discrete map. The nonlinear element in the circuit is a negative-resistance device synthesized by using two bipolar transistors and four positive linear resistors. This circuit exhibits a new route to chaos; namely, through period-adding where the periods of two successive periodic waveforms belonging to each periodadding sequence differ by one; i.e., from period n to n - 1 or n + 1 . The transition to chaos (after one or more periodic states) resulted directly from a loss of stability of a periodic state at a bifurcation point. Several general features of the periodic-chaotic transition sequence have been observed and presented.
  • Keywords
    Chaos; Negative-resistance devices; Nonlinear oscillators; Automatic control; Chaos; Circuit synthesis; Councils; Equations; Linear systems; Network address translation; Nonlinear circuits; Oscillators; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/TCS.1986.1085918
  • Filename
    1085918