E-ISSN 2705-3954 | ISSN 0794-4756
 
2025, Vol: 32, Issue: 1
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Original Research 


NUMERICAL ANALYSES OF SUBTHRESHOLD SIGNAL ENHANCEMENT IN A SPACE-DEPENDENT DAMPED MULTI-STABLE VAN DER POL-DUFFING OSCILLATOR VIA VIBRATIONAL RESONANCE

Usama Ibrahim Bello, Hamza Mustapha, Munir Ahmad, Adamu Abubakar Saidu.


Abstract
This paper presents a numerical investigation of subthreshold signal enhancement in a Van der Pol-Duffing oscillator through the phenomenon of Vibrational Resonance. The oscillator models the motion of a particle in a muti-stable periodic potential, influenced by a space-dependent nonlinear damping and driven by an external bichromatic excitation. Temporal and spectral analyses methods were applied to examine the system’s response. The results show that the low-frequency input signal 2|X(f_Lf )| is amplified from 0.03316 to 0.1787 when the amplitude of the high-frequency perturbation is adjusted from G=50 to an intermediate value G=430 respectively. This finding is further supported by the linear response analyses for fixed damping amplitude γ=0.06. Additionally, the damping amplitudes were found to influence the system's behavior, with the optimal linear responses, Q=1.787 and Q=1.869, occurring at damping amplitude values of γ=0.04 and h=1.5 respectively.

Key words: Subthreshold signal, signal enhancement, van der Pol-Duffing oscillator, multi-stability space-dependent damping, Vibrational Resonance


 
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How to Cite this Article
Pubmed Style

Bello UI, Mustapha H, Ahmad M, Saidu AA. NUMERICAL ANALYSES OF SUBTHRESHOLD SIGNAL ENHANCEMENT IN A SPACE-DEPENDENT DAMPED MULTI-STABLE VAN DER POL-DUFFING OSCILLATOR VIA VIBRATIONAL RESONANCE. NJE. 2025; 32(1): 27-31.

Web Style

Bello UI, Mustapha H, Ahmad M, Saidu AA. NUMERICAL ANALYSES OF SUBTHRESHOLD SIGNAL ENHANCEMENT IN A SPACE-DEPENDENT DAMPED MULTI-STABLE VAN DER POL-DUFFING OSCILLATOR VIA VIBRATIONAL RESONANCE. https://www.njeabu.com.ng/?mno=224287 [Access: May 11, 2025].

AMA (American Medical Association) Style

Bello UI, Mustapha H, Ahmad M, Saidu AA. NUMERICAL ANALYSES OF SUBTHRESHOLD SIGNAL ENHANCEMENT IN A SPACE-DEPENDENT DAMPED MULTI-STABLE VAN DER POL-DUFFING OSCILLATOR VIA VIBRATIONAL RESONANCE. NJE. 2025; 32(1): 27-31.


Vancouver/ICMJE Style

Bello UI, Mustapha H, Ahmad M, Saidu AA. NUMERICAL ANALYSES OF SUBTHRESHOLD SIGNAL ENHANCEMENT IN A SPACE-DEPENDENT DAMPED MULTI-STABLE VAN DER POL-DUFFING OSCILLATOR VIA VIBRATIONAL RESONANCE. NJE. (2025), [cited May 11, 2025]; 32(1): 27-31.


Harvard Style

Bello, U. I., Mustapha, . H., Ahmad, . M. & Saidu, . A. A. (2025) NUMERICAL ANALYSES OF SUBTHRESHOLD SIGNAL ENHANCEMENT IN A SPACE-DEPENDENT DAMPED MULTI-STABLE VAN DER POL-DUFFING OSCILLATOR VIA VIBRATIONAL RESONANCE. NJE, 32 (1), 27-31.


Turabian Style

Bello, Usama Ibrahim, Hamza Mustapha, Munir Ahmad, and Adamu Abubakar Saidu. 2025. NUMERICAL ANALYSES OF SUBTHRESHOLD SIGNAL ENHANCEMENT IN A SPACE-DEPENDENT DAMPED MULTI-STABLE VAN DER POL-DUFFING OSCILLATOR VIA VIBRATIONAL RESONANCE. Nigerian Journal of Engineering, 32 (1), 27-31.


Chicago Style

Bello, Usama Ibrahim, Hamza Mustapha, Munir Ahmad, and Adamu Abubakar Saidu. "NUMERICAL ANALYSES OF SUBTHRESHOLD SIGNAL ENHANCEMENT IN A SPACE-DEPENDENT DAMPED MULTI-STABLE VAN DER POL-DUFFING OSCILLATOR VIA VIBRATIONAL RESONANCE." Nigerian Journal of Engineering 32 (2025), 27-31.


MLA (The Modern Language Association) Style

Bello, Usama Ibrahim, Hamza Mustapha, Munir Ahmad, and Adamu Abubakar Saidu. "NUMERICAL ANALYSES OF SUBTHRESHOLD SIGNAL ENHANCEMENT IN A SPACE-DEPENDENT DAMPED MULTI-STABLE VAN DER POL-DUFFING OSCILLATOR VIA VIBRATIONAL RESONANCE." Nigerian Journal of Engineering 32.1 (2025), 27-31. Print.


APA (American Psychological Association) Style

Bello, U. I., Mustapha, . H., Ahmad, . M. & Saidu, . A. A. (2025) NUMERICAL ANALYSES OF SUBTHRESHOLD SIGNAL ENHANCEMENT IN A SPACE-DEPENDENT DAMPED MULTI-STABLE VAN DER POL-DUFFING OSCILLATOR VIA VIBRATIONAL RESONANCE. Nigerian Journal of Engineering, 32 (1), 27-31.


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