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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/067/02/0351-0356

    • Keywords

       

      Duffing oscillator; various periodic forces; bifurcations; chaos

    • Abstract

       

      Bifurcations and chaos in the ubiquitous Duffing oscillator equation with different external periodic forces are studied numerically. The external periodic forces considered are sine wave, square wave, rectified since wave, symmetric saw-tooth wave, asymmetric saw-tooth wave, rectangular wave with amplitude-dependent width and modulus of sine wave. Period doubling bifurcations, chaos, intermittency, periodic windows and reverse period doubling bifurcations are found to occur due to the applied forces. A comparative study of the effect of various forces is performed.

    • Author Affiliations

       

      V Ravichandran1 V Chinnathambi1 S Rajasekar2

      1. Department of Physics, A.K.G.S. Arts College, Srivaikuntam - 628 619, India
      2. School of Physics, Bharathidasan University, Thiruchirapalli - 620 024, India

    • Dates

       
      Published
      August 2006
      Manuscript received
      3 September 2005
      Manuscript revised
      20 March 2006
      Accepted
      16 May 2006

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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