https://doi.org/10.1140/epjb/s10051-023-00527-w
Regular Article - Statistical and Nonlinear Physics
Studies on ghost-vibrational resonance in a periodically driven anharmonic oscillator
1
School of Physics, Bharathidasan University, 620024, Tiruchirappalli, Tamil Nadu, India
2
Centre for Computational Modeling, Chennai Institute of Technology, 600069, Chennai, Tamil Nadu, India
3
Centre for Nonlinear Systems, Chennai Institute of Technology, 600069, Chennai, Tamil Nadu, India
d
karthikeyan.rajagopal@citchennai.net
Received:
31
January
2023
Accepted:
24
April
2023
Published online:
11
May
2023
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 
. 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 
at the missing fundamental frequency is independent of other parameters in the coupled dynamical system and only depends on the coupling constant.
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