Nonlinear dynamics of classical counterpart of the generalized quantum nonlinear oscillator driven by position dependent mass

2015 ◽  
Vol 353 ◽  
pp. 222-237 ◽  
Author(s):  
Dibakar Ghosh ◽  
Barnana Roy
Keyword(s):  
Nonlinear Dynamics ◽  
Nonlinear Oscillator ◽  
Classical Counterpart ◽  
Quantum Nonlinear Oscillator ◽  
Dependent Mass ◽  
Position Dependent Mass

scholarly journals Vibrational resonances in driven oscillators with position-dependent mass

2021 ◽  
Vol 379 (2192) ◽  
pp. 20200227 ◽  
Author(s):  
T. O. Roy-Layinde ◽  
U. E. Vincent ◽  
S. A. Abolade ◽  
O. O. Popoola ◽  
J. A. Laoye ◽  
...  
Keyword(s):  
Quantum Mechanical ◽  
Theme Issue ◽  
Vibrational Resonance ◽  
Research Attention ◽  
Classical Counterpart ◽  
Wide Range ◽  
New Directions ◽  
Dependent Mass ◽  
Vibrational Resonances ◽  
Position Dependent Mass

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. This article is part of the theme issue ‘Vibrational and stochastic resonance in driven nonlinear systems (part 1)’.

scholarly journals Nonlinear dynamics of a position-dependent mass-driven Duffing-type oscillator

2012 ◽  
Vol 46 (3) ◽  
pp. 032001 ◽  
Author(s):  
Bijan Bagchi ◽  
Supratim Das ◽  
Samiran Ghosh ◽  
Swarup Poria
Keyword(s):  
Nonlinear Dynamics ◽  
Dependent Mass ◽  
Position Dependent Mass
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