Vibrational Resonances in Driven Oscillators with Position-dependent Mass

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dc.contributor.authorVincent, Uchechukwu
dc.date.accessioned2022-02-22T11:09:31Z
dc.date.available2022-02-22T11:09:31Z
dc.date.issued2021-01-18
dc.descriptionThis article is part of the theme issue ‘Vibrational and stochastic resonance in driven nonlinear systems (part 1)en_US
dc.description.abstractThe 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.en_US
dc.identifier.citationRoy-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.2020.0227en_US
dc.identifier.otherhttp://doi.org/10.1098/rsta.2020.0227
dc.identifier.urihttp://dspace.run.edu.ng:8080/jspui/handle/123456789/1359
dc.language.isoenen_US
dc.publisherThe Royal Society of Londonen_US
dc.subjectNonlinear systemsen_US
dc.subjectVibrational resonanceen_US
dc.subjectStochastic resonanceen_US
dc.titleVibrational Resonances in Driven Oscillators with Position-dependent Massen_US
dc.typeArticleen_US
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