1. Home
    2. Journals
    3. Pramana – Journal of Physics
    4. Volume 47
    5. Issue 3

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

      S Rajasekar S Paul Raj

      Volume 47 Issue 3 September 1996 pp 183-198

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/047/03/0183-0198

    • 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

       
      Published
      September 1996
      Manuscript received
      4 March 1996
      Manuscript revised
      25 July 1996

  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2022-2023 Indian Academy of Sciences, Bengaluru.

Contact | Site index