Bifurcation Generated Mechanical Frequency Comb

David A. Czaplewski, Changyao Chen, Daniel Lopez, Oriel Shoshani, Axel M. Eriksson, Scott Strachan, Steven W. Shaw

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We demonstrate a novel response of a nonlinear micromechanical resonator when operated in a region of strong, nonlinear mode coupling. The system is excited with a single drive signal and its response is characterized by periodic amplitude modulations that occur at timescales based on system parameters. The periodic amplitude modulations of the resonator are a consequence of nonlinear mode coupling and are responsible for the emergence of a "frequency-comb" regime in the spectral response. By considering a generic model for a 13 internal resonance, we demonstrate that the novel behavior results from a saddle node on an invariant circle (SNIC) bifurcation. The ability to control the operating parameters of the micromechanical structures reported here makes the simple micromechanical resonator an ideal test bed to study the dynamic response of SNIC behavior demonstrated in mechanical, optical, and biological systems.

Original languageEnglish (US)
Article number244302
JournalPhysical review letters
Volume121
Issue number24
DOIs
StatePublished - Dec 14 2018

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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