Vibrational resonance in an inhomogeneous medium with periodic dissipation

Roy-Layinde, T. O. and Laoye, J. A. and Popoola, O. O. and Vincent, Uchechukwu Enyim and McClintock, Peter Vaughan Elsmere (2017) Vibrational resonance in an inhomogeneous medium with periodic dissipation. Physical Review E, 96 (3). ISSN 1539-3755

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Abstract

The role of nonlinear dissipation in vibrational resonance (VR) is investigated in an inhomogeneous system characterized by a symmetric and spatially-periodic potential, and subjected to non-uniform, state-dependent, damping and a bi-harmonic driving force. The contributions of the parameters of the high frequency signal to the system’s effective dissipation are examined theoretically in comparison to linearly-damped systems, for which the parameter of interest is the effective stiffness in the equation of slow vibration. We show that the VR effect can be enhanced by varying the nonlinear dissipation parameters; and that it can be induced by a parameter that is shared by the damping inhomogeneity and the system potential. Furthermore, we have apparently identified the origin of the nonlinear-dissipation-enhanced response: we provide evidence of its connection to an Hopf bifurcation, accompanied by monotonic attractor enlargement in the VR regime.

Item Type:
Journal Article
Journal or Publication Title:
Physical Review E
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/3100/3104
Subjects:
ID Code:
87457
Deposited By:
Deposited On:
25 Aug 2017 08:22
Refereed?:
Yes
Published?:
Published
Last Modified:
23 Oct 2020 04:26