Home > Research > Publications & Outputs > Vibrational resonance in an oscillator with an ...

Associated organisational unit

Electronic data

  • DeformedVibrationalPRE2018RevisedFinal

    Accepted author manuscript, 7.96 MB, PDF document

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

  • VincentPREVibeResonance

    Rights statement: © 2018 American Physical Society

    Final published version, 2.24 MB, PDF document

    Available under license: Unspecified

Links

Text available via DOI:

View graph of relations

Vibrational resonance in an oscillator with an asymmetrical deformable potential

Research output: Contribution to journalJournal article

Published
Close
Article number062203
<mark>Journal publication date</mark>5/12/2018
<mark>Journal</mark>Physical Review E
Issue number6
Volume98
Number of pages11
Publication statusPublished
Original languageEnglish

Abstract

We report the occurrence of vibrational resonance (VR) for a particle placed in a nonlinear asymmetrical Remoissenet-Peyrard potential substrate whose shape is subjected to deformation. We focus on the possible influence of deformation on the occurrence of vibrational resonance (VR) and show evidence of deformation-induced double resonances. By an approximate method involving direct separation of the time scales, we derive the equation of slow motion and obtain the response amplitude. We validate the theoretical results by numerical simulation. Besides revealing the existence of deformation-induced VR, our results show that the parameters of the deformed potential have a significant effect on the VR and can be employed to either suppress or modulate the resonance peaks, thereby controlling the resonances. By exploring the time series, the phase space structures, and the bifurcation of the attractors in the Poincaré section, we demonstrate that there are two distinct dynamical mechanisms that can give rise to deformation-induced resonances, viz., (i) monotonic increase in the size of a periodic orbit and (ii) bifurcation from a periodic to a quasiperiodic attractor.

Bibliographic note

© 2018 American Physical Society