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Influence of amplitude-modulated excitation on the dynamic behaviour of polarisation of a material

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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.

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Acknowledgements

The authors thank very much the anonymous referees whose useful criticisms, and suggestions have helped strengthen the content and the quality of the paper. The authors sincerely thank The World Academy of Sciences (TWAS) for the advancement of science in developing countries for the Research Grant No. 20-307 RG/PHYS/AF/AC-G-FR3240314170.

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Authors and Affiliations

  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

    Cyrille Ainamon, Laurent Amoussou Hinvi, Fébron Cyrus Patinvoh, Clément Hodévèwan Miwadinou, Adjimon Vincent Monwanou & Jean Bio Chabi Orou

  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

    Laurent Amoussou Hinvi

  3. École Normale Supérieure de Natitingou/Université Nationale des Sciences Technologies, Ingénierie et Mathématiques (UNSTIM), Abomey, Benin

    Clément Hodévèwan Miwadinou

Authors
  1. Cyrille Ainamon
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  2. Laurent Amoussou Hinvi
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  3. Fébron Cyrus Patinvoh
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  4. Clément Hodévèwan Miwadinou
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  5. Adjimon Vincent Monwanou
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  6. Jean Bio Chabi Orou
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Correspondence to Clément Hodévèwan Miwadinou.

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Ainamon, C., Hinvi, L.A., Patinvoh, F.C. et al. Influence of amplitude-modulated excitation on the dynamic behaviour of polarisation of a material. Pramana - J Phys 95, 170 (2021). https://doi.org/10.1007/s12043-021-02168-z

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  • DOI: https://doi.org/10.1007/s12043-021-02168-z

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