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      https://www.ias.ac.in/article/fulltext/pram/072/06/0927-0937

    • Keywords

       

      Asymmetrical double-well Duffing oscillator; Melnikov method; horseshoe chaos; asymptotic chaos.

    • Abstract

       

      Duffing oscillator driven by a periodic force with three different forms of asymmetrical double-well potentials is considered. Three forms of asymmetry are introduced by varying the depth of the left-well alone, location of the minimum of the left-well alone and above both the potentials. Applying the Melnikov method, the threshold condition for the occurrence of horseshoe chaos is obtained. The parameter space has regions where transverse intersections of stable and unstable parts of left-well homoclinic orbits alone and right-well orbits alone occur which are not found in the symmetrical system. The analytical predictions are verified by numerical simulation. For a certain range of values of the control parameters there is no attractor in the left-well or in the right-well.

    • Author Affiliations

       

      V Ravichandran1 S Jeyakumari1 V Chinnathambi1 S Rajasekar2 M A F Sanjuán3

      1. Department of Physics, Sri K.G.S. Arts College, Srivaikuntam 628 619, India
      2. School of Physics, Bharathidasan University, Tiruchirapalli 620 024, India
      3. Departamento de Física, Universidad Rey Juan Carlos, Tulipán s/n, 28933 Móstoles, Madrid, Spain
    • Dates

       
  • Pramana – Journal of Physics | News

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