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Vibrational resonance in a higher-order nonlinear damped oscillator with rough potential

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Abstract

We examine the vibrational resonance (VR) of particles moving in a strongly nonlinear damped medium with a harmonically perturbed potential consisting of a background smooth triple-well potential superimposed by a fast oscillating periodic function and subjected to weak and high-frequency (HF) driving forces. The combined effects of the nonlinear damping inhomogeneity and roughness induced by the harmonic perturbation on the phenomenon of VR were theoretically and numerically analysed. It was found that damping inhomogeneity contributed significantly to the enhancement of resonant states, while potential roughness can be optimised by the HF signal to assist resonance enhancement. Furthermore, the traditional smooth VR shapes occurring in the absence of roughness experienced significant distortion occasioned by potential roughness manifesting as spikes that could ultimately be optimised by large amplitudes of the fast signal to energetically facilitate the potential barrier crossing process, thereby enabling VR enhancement.

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  • 03 January 2020

    In our recently published paper one of the author���s affiliation (O. O. Popoola) was wrongly indicated.

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Acknowledgements

U E Vincent is an alumnus of the Newton International Fellowships. He is supported by the Royal Society of London through their Newton International Fellowship Alumni Scheme.

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Authors and Affiliations

  1. Department of Physics, Olabisi Onabanjo University, Ago-Iwoye, Nigeria

    J A Laoye, T O Roy-Layinde, K A Omoteso & O O Popoola

  2. Department of Physics, University of Ibadan, Ibadan, Nigeria

    T O Roy-Layinde

  3. Department of Physical Sciences, Redeemer’s University, Ede, Osun State, Nigeria

    U E Vincent

  4. Department of Physics, Lancaster University, Lancaster, LA1 4YB, UK

    U E Vincent

Authors
  1. J A Laoye
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  2. T O Roy-Layinde
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  3. K A Omoteso
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  4. O O Popoola
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Correspondence to U E Vincent.

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Laoye, J.A., Roy-Layinde, T.O., Omoteso, K.A. et al. Vibrational resonance in a higher-order nonlinear damped oscillator with rough potential. Pramana - J Phys 93, 102 (2019). https://doi.org/10.1007/s12043-019-1865-5

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  • DOI: https://doi.org/10.1007/s12043-019-1865-5

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