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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Vibrational resonances in driven oscillators with position-dependent mass
AU - Roy-Layinde, T. O.
AU - Vincent, Uchechukwu E.
AU - Abolade, S. A.
AU - Popoola, O. O.
AU - Laoye, J. A.
AU - McClintock, Peter V. E.
N1 - Part of a Theme Issue on "Vibrational and Stochastic Resonance in Driven Nonlinear Systems".
PY - 2021/3/8
Y1 - 2021/3/8
N2 - The vibrational resonance (VR) phenomenon has received a great deal of research attention over the two decades since its introduction. The wide range of theoretical and experimental results obtained has, however, been confined to VR in systems with constant mass. We now extend the VR formalism to encompass systems with position-dependent mass (PDM).We consider a generalized classical counterpart of the quantum mechanical nonlinear oscillator with PDM. By developing a theoretical framework fordetermining the response amplitude of PDMsystems, we examine and analyse their VR phenomenona, obtain conditions for the occurrence of resonances, show that the role played by PDM can be both inductive and contributory, and suggest that PDM effects could usefully be explored to maximise the efficiency of devices being operated in VRmodes. Our analysis suggests new directions for the investigation of VR in a general class of PDM systems.
AB - The vibrational resonance (VR) phenomenon has received a great deal of research attention over the two decades since its introduction. The wide range of theoretical and experimental results obtained has, however, been confined to VR in systems with constant mass. We now extend the VR formalism to encompass systems with position-dependent mass (PDM).We consider a generalized classical counterpart of the quantum mechanical nonlinear oscillator with PDM. By developing a theoretical framework fordetermining the response amplitude of PDMsystems, we examine and analyse their VR phenomenona, obtain conditions for the occurrence of resonances, show that the role played by PDM can be both inductive and contributory, and suggest that PDM effects could usefully be explored to maximise the efficiency of devices being operated in VRmodes. Our analysis suggests new directions for the investigation of VR in a general class of PDM systems.
KW - Nonlinear systems
KW - Vibrational resonance
KW - Position-dependent mass
KW - Stochastic resonance
KW - Duffing oscillator
U2 - 10.1098/rsta.2020.0227
DO - 10.1098/rsta.2020.0227
M3 - Journal article
VL - 379
SP - 1
EP - 23
JO - Philosophical Transactions of the Royal Society of London A
JF - Philosophical Transactions of the Royal Society of London A
SN - 0264-3820
IS - 2192
ER -