Home > Research > Publications & Outputs > Vibrational resonance in an inhomogeneous mediu...

Research

Associated organisational units

Electronic data

  • VibrationalPRE2017Revp

    Accepted author manuscript, 1.03 MB, PDF document

    Available under license: CC BY-NC: Creative Commons Attribution-NonCommercial 4.0 International License

Links

Text available via DOI:

View graph of relations

Vibrational resonance in an inhomogeneous medium with periodic dissipation

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published

Standard

Vibrational resonance in an inhomogeneous medium with periodic dissipation. / Roy-Layinde, T. O.; Laoye, J. A.; Popoola, O. O. et al.
In: Physical Review E, Vol. 96, No. 3, 032209, 08.09.2017.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Roy-Layinde, TO, Laoye, JA, Popoola, OO, Vincent, UE & McClintock, PVE 2017, 'Vibrational resonance in an inhomogeneous medium with periodic dissipation', Physical Review E, vol. 96, no. 3, 032209. https://doi.org/10.1103/PhysRevE.96.032209

APA

Roy-Layinde, T. O., Laoye, J. A., Popoola, O. O., Vincent, U. E., & McClintock, P. V. E. (2017). Vibrational resonance in an inhomogeneous medium with periodic dissipation. Physical Review E, 96(3), Article 032209. https://doi.org/10.1103/PhysRevE.96.032209

Vancouver

Roy-Layinde TO, Laoye JA, Popoola OO, Vincent UE, McClintock PVE. Vibrational resonance in an inhomogeneous medium with periodic dissipation. Physical Review E. 2017 Sept 8;96(3):032209. doi: 10.1103/PhysRevE.96.032209

Author

Roy-Layinde, T. O. ; Laoye, J. A. ; Popoola, O. O. et al. / Vibrational resonance in an inhomogeneous medium with periodic dissipation. In: Physical Review E. 2017 ; Vol. 96, No. 3.

Bibtex

@article{58f0b93e3c6f4ad7b5d08e1e7b9d079d,
title = "Vibrational resonance in an inhomogeneous medium with periodic dissipation",
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{\textquoteright}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.",
author = "Roy-Layinde, {T. O.} and Laoye, {J. A.} and Popoola, {O. O.} and Vincent, {Uchechukwu Enyim} and McClintock, {Peter Vaughan Elsmere}",
year = "2017",
month = sep,
day = "8",
doi = "10.1103/PhysRevE.96.032209",
language = "English",
volume = "96",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "3",

}

RIS

TY - JOUR

T1 - Vibrational resonance in an inhomogeneous medium with periodic dissipation

AU - Roy-Layinde, T. O.

AU - Laoye, J. A.

AU - Popoola, O. O.

AU - Vincent, Uchechukwu Enyim

AU - McClintock, Peter Vaughan Elsmere

PY - 2017/9/8

Y1 - 2017/9/8

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevE.96.032209

DO - 10.1103/PhysRevE.96.032209

M3 - Journal article

VL - 96

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 3

M1 - 032209

ER -