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<p>This paper addresses the issues of vibrational resonance and dynamics of the nonlinear electromagnetic model. After the mathematical modeling, the analytical study of the resonance is done by considering the slow and fast movements. The study of the effect of the parameters is done in order to identify those which are unfavorable to the appearance of the vibrational resonance. Subsequently, the influence of the amplitude modulated disturbances on the dynamics of the system is numerically studied by solving the dynamic equation obtained using a Runge–Kutta algorithm of order 4 executed on fortran. The different movements are sought when the modulation frequency is rational and irrational.</p>

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Amplitude-modulated perturbation of a nonlinear electromagnetic force model: vibrational resonance and chaotic dynamic

  • 期刊论文

  • 发表日期：

    2025年7月19日

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  • F. Y. Codjo,
  • C. H. Miwadinou

摘要

This paper addresses the issues of vibrational resonance and dynamics of the nonlinear electromagnetic model. After the mathematical modeling, the analytical study of the resonance is done by considering the slow and fast movements. The study of the effect of the parameters is done in order to identify those which are unfavorable to the appearance of the vibrational resonance. Subsequently, the influence of the amplitude modulated disturbances on the dynamics of the system is numerically studied by solving the dynamic equation obtained using a Runge–Kutta algorithm of order 4 executed on fortran. The different movements are sought when the modulation frequency is rational and irrational.