Scholarlink

<p>The occurrence of vibrational resonance (VR) in a modulated spatially varying periodic system is investigated in this study. A modulation profile possessing a harmonic order is exerted on a spatially periodic function to yield a modulated landscape. The dual-frequency driven modulated system is subsequently treated within the separation of motion scheme, to yield a quantifier for VR in the form of response amplitude. Applying a linearly damped regime, within the domain of the fast field drive and for different values of the harmonic order, multiple resonances were detected in the response profile for particular values of the weak excitation frequency component. All analytical deductions were confirmed through numerical simulations, which demonstrated a reasonable level of agreement. Comparisons with related studies reveal the distinctive influence of harmonic order modulation in enhancing and transforming VR responses for specific operating values of field parameters. The impact of the modulating function in transforming features of the forced system, viz., effective potential and resonant frequency under VR analysis, provides avenues of active enrichment of the output signal at the low frequency. These unique characteristics may provide pertinent prospects for dynamical systems that adopt spatially periodic states.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Vibrational resonance in system with modulated periodic potential

  • 期刊论文

  • 发表日期：

    2026年5月12日

查看全文
  • Oluwasijibomi Prince Shomotun,
  • Kayode Stephen Ojo,
  • Kehinde Solomon Oyeleke,
  • Abidemi Emmanuel Adeniji,
  • Adewale Mutiu Lasisi

摘要

The occurrence of vibrational resonance (VR) in a modulated spatially varying periodic system is investigated in this study. A modulation profile possessing a harmonic order is exerted on a spatially periodic function to yield a modulated landscape. The dual-frequency driven modulated system is subsequently treated within the separation of motion scheme, to yield a quantifier for VR in the form of response amplitude. Applying a linearly damped regime, within the domain of the fast field drive and for different values of the harmonic order, multiple resonances were detected in the response profile for particular values of the weak excitation frequency component. All analytical deductions were confirmed through numerical simulations, which demonstrated a reasonable level of agreement. Comparisons with related studies reveal the distinctive influence of harmonic order modulation in enhancing and transforming VR responses for specific operating values of field parameters. The impact of the modulating function in transforming features of the forced system, viz., effective potential and resonant frequency under VR analysis, provides avenues of active enrichment of the output signal at the low frequency. These unique characteristics may provide pertinent prospects for dynamical systems that adopt spatially periodic states.