Studies on ghost-vibrational resonance in a periodically driven anharmonic oscillator

Rajamani Samikkannu (), Mohanasubha Ramasamy (), Suresh Kumarasamy () and Karthikeyan Rajagopal ()
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Rajamani Samikkannu: Bharathidasan University
Mohanasubha Ramasamy: Chennai Institute of Technology
Suresh Kumarasamy: Chennai Institute of Technology
Karthikeyan Rajagopal: Chennai Institute of Technology

The European Physical Journal B: Condensed Matter and Complex Systems, 2023, vol. 96, issue 5, 1-7

Abstract: Abstract In this study, we investigate the phenomenon of ghost vibrational resonance in single and one-way coupled plasma oscillator systems with multi-frequency driving forces, which has not been previously studied. We identify the origin of ghost-vibrational resonance caused by the high frequency at the missing fundamental frequency $$\omega _0$$ ω 0 . Our analysis shows undamped signal propagation and enhanced signal amplification in unidirectionally coupled networks of plasma oscillators. Moreover, we observe that amplitude enhancement and undamped propagation occur only when the coupling constant exceeds the critical value. Our results indicate that the plasma model exhibits enhanced signal propagation even in the absence of high-frequency forces. Additionally, we report that the response amplitude $$Q(\omega _0)$$ Q ( ω 0 ) at the missing fundamental frequency is independent of other parameters in the coupled dynamical system and only depends on the coupling constant. Graphic Abstract

Date: 2023
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DOI: 10.1140/epjb/s10051-023-00527-w

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