Vibrational Resonances in Driven Oscillators with Position-dependent Mass
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Date
2021-01-18
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
The Royal Society of London
Abstract
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 for determining the response amplitude of PDM systems, 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 maximize the efficiency of devices being operated in VR modes. Our analysis suggests new directions for the investigation of VR in a general class of PDM systems.
Description
This article is part of the theme issue ‘Vibrational and stochastic resonance in driven nonlinear systems (part 1)
Keywords
Nonlinear systems, Vibrational resonance, Stochastic resonance
Citation
Roy-Layinde T. O., Vincent U. E., Abolade S. A., Popoola O. O., Laoye J. A. and McClintock P. V. E. 2021 Vibrational resonances in driven oscillators with position-dependent massPhil. Trans. R. Soc. A.3792020022720200227 http://doi.org/10.1098/rsta.2020.0227