Amplifying the response of a driven resonator via nonlinear interaction with a secondary resonator

Sahar Rosenberg, Oriel Shoshani

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


We study the dynamics of a resonantly driven nonlinear resonator (primary) that is nonlinearly coupled to a non-resonantly driven linear resonator (secondary) with a relatively short decay time. Due to its short relaxation time, the secondary resonator adiabatically tracks the primary resonator and modifies its response. Our model, which is motivated by experimental studies on the interaction between nano- and micro-resonators, is relatively simple and can be analyzed analytically and numerically to show that the driven response of the primary resonator can be enhanced significantly due to the interaction with the secondary resonator. Such an arrangement may pave the way for systematic control of driven responses and signal amplification in engineering applications involving nano- and micro-electro-mechanical-systems.

Original languageEnglish
Pages (from-to)1427-1436
Number of pages10
JournalNonlinear Dynamics
Issue number2
StatePublished - 1 Jul 2021


  • Nano- and micro-electro-mechanical-systems
  • Nonlinear driven resonators
  • Signal amplification

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Electrical and Electronic Engineering
  • Applied Mathematics


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