• Suppression of Smale horseshoe structure via secondary perturbations in pendulum systems

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      https://www.ias.ac.in/article/fulltext/pram/052/04/0375-0387

    • Keywords

       

      Smale horseshoe; Melnikov criterion; Froude pendulum; parametric modulation; quasiperiodic forcing; control of chaos

    • Abstract

       

      We analyse the use of parametric and quasiperiodic modulations in suppressing horseshoe structure in the phase plane of perturbed pendulum systems. Taking the Froude pendulum as a typical system, four different modulation mechanisms are studied by deriving analytic expressions for the window of the strength of modulation giving suppression in each case. A comparison of the four cases from the point of view of flexibility and efficiency is also given.

    • Author Affiliations

       

      K I Thomas1 G Ambika1

      1. Department of Physics, Maharaja’s College, Cochin - 682 011, India
    • Dates

       
  • Pramana – Journal of Physics | News

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