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      https://www.ias.ac.in/article/fulltext/pram/095/0170

    • Keywords

       

      Nonlinear polarisation; nonlinear and multiple resonances; vibrational resonance; bifurcation; chaos.

    • Abstract

       

      This work concerns the modelling of the dynamics of polarisation of a centrosymmetric material subjected to an amplitude-modulated excitation (AME). The dynamic equation obtained for the polarisation is the Duffing equation with nonlinearities of orders 3 and 5. With the multiple scale method, the nonlinear resonances are studied. Periodic, multiperiodic, quasiperiodic and chaotic behaviour have been checked using the bifurcation diagram,Lyapunov exponent, phase space, Poincaré section and vibrational resonance using the fourth-order Runge–Kutta integration algorithm. The effects of various parameters of polarisation are analysed and very interesting results are obtained. The results obtained by the analytical methods are validated and complemented by the numerical simulations.

    • Author Affiliations

       

      CYRILLE AINAMON1 LAURENT AMOUSSOU HINVI1 2 FÉBRON CYRUS PATINVOH1 CLÉMENT HODÉVÈWAN MIWADINOU1 3 ADJIMON VINCENT MONWANOU1 JEAN BIO CHABI OROU1

      1. Laboratoire de Mécanique des Fluides, de la Dynamique Nonlinéaire et de la Modélisation des Systèmes Biologiques (LMFDNMSB); Institut de Mathématiques et de Sciences Physiques, Porto-Novo, Benin
      2. Département de Génie Mécanique et Productique (GMP) de l’Institut National Supérieur de Technologie Industrielle (INSTI)/Université Nationale des Sciences Technologies, Ingénierie et Mathématiques (UNSTIM), Abomey, Benin
      3. École Normale Supérieure de Natitingou/Université Nationale des Sciences Technologies, Ingénierie et Mathématiques (UNSTIM), Abomey, Benin
    • Dates

       
  • Pramana – Journal of Physics | News

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