Vibrational resonance of ammonia molecule with doubly singular position-dependent mass

Vibrational resonance in a multistable system with position-dependent mass

“…The use of system parameters such as external signal, noise and time delay in controlling nonlinear phenomena such as multistability, synchronization and resonance is well established. Recently, it was suggested that the nature of the variable mass distribution could determine the outcome of a system's response to dual-frequency driving forces as the nonlinearity strength of the mass leads a system modelling vibration inversion mode of NH 3 from single resonance to double resonance [48]. Also, while the possibility of inducing resonances from variable mass parameters was first reported in the literature by Roy-Layinde et al [49], the possibility of generating single resonance from variable mass parameters in a multistable system is novel.…”

“…On the contrary, the coexistence of different stable states associated with multistability 5 offers great possibilities in inducing flexible system performance by leveraging the right control strategies to initiate a definite switching between different resonant states without necessarily choosing a new parameter regime as would be expected if the system undergoes single resonance. VR is a useful tool for the achievement of higher laser modulation bandwidths which is desirable in applications like multigigabit optical fibre transmitters [25,48,49]. Moreover, VR could be suitable for designing measurement techniques, and thus, exploring HF parametric vibrations can find practical applications in communications systems as well as in the detection and assessment of structural damage in systems with breathing cracks, thus, suggesting new directions for VR investigations, and in which the need for the consideration of variable particle mass appears crucial.…”

“…Nonlinear phenomena in systems with variable mass may differ significantly from those with constant mass [46,47]. For instance, the resonant state might be altered by mass variation as highlighted in our recent papers [48,49]. The nature and mechanism of resonance behaviour are yet to be fully understood.…”

“…The nature and mechanism of resonance behaviour are yet to be fully understood. The variable mass parameters were recently shown to influence VR in a biharmonically-driven PDM oscillator modelling the inversion of NH 3 molecule by driving the system from single to double resonance state [48]. Since it has been suggested that VR could be optimally explored in the control of the motion of tiny particles in nanoscience or microscale/macroscale oscillators [48][49][50], studies on the influence of particle mass variation on resonances will unravel certain features of systems modelled by variable mass functions.…”

“…The variable mass parameters were recently shown to influence VR in a biharmonically-driven PDM oscillator modelling the inversion of NH 3 molecule by driving the system from single to double resonance state [48]. Since it has been suggested that VR could be optimally explored in the control of the motion of tiny particles in nanoscience or microscale/macroscale oscillators [48][49][50], studies on the influence of particle mass variation on resonances will unravel certain features of systems modelled by variable mass functions. In practical applications, the variable mass efficiently re-tunes the frequency of a feasible adaptivepassive variable mass tuned mass damper (APVMTMD) with minimal power consumption, and no manual operations [51].…”