• The Painlevé property, integrability and chaotic behaviour of a two-coupled Duffing oscillators

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    • Keywords

       

      Coupled Duffing oscillators; Painlevé analysis; chaos

    • Abstract

       

      Integrability and chaotic behaviour in a two-coupled Duffing oscillators are studied. The coupling is nonlinear. Painlevé test is performed to identify integrable cases of damped- and force-free system. Exact analytical solutions are given for the integrable cases. Effect of external periodic forces for (i) single well with infinite height potential, (ii) potential with a hump at the centre and (iii) single well with finite height hump potential are numerically investigated. Occurrence of multiple attractors and period doubling cascades of coexisting attractors is presented.

    • Author Affiliations

       

      S Rajasekar1 S Paul Raj1 2

      1. Department of Physics, Manonmaniam Sundaranar University, Tirunelveli - 627 002, India
      2. Department of Physics, St. Xavier’s College, Tirunelveli - 627 002, India
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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