Nonlinear interactions between vibration modes with vastly different eigenfrequencies

Oriel Shoshani, Steven W. Shaw

Research output: Contribution to journalArticlepeer-review


Nonlinear interactions between modes with eigenfrequencies that differ by orders of magnitude are ubiquitous in various fields of physics, ranging from cavity optomechanics to aeroelastic systems. Simplifying their description to a minimal model and grasping the essential physics is typically a system-specific challenge. We show that the complex dynamics of these interactions can be distilled into a single generic form, namely, the Stuart-Landau oscillator. With our model, we study the injection locking and frequency pulling of a low-frequency mode interacting with a blue-detuned high-frequency mode, which generate frequency combs. Such combs are tunable around both the high and low carrier frequencies. By discussing the analogy with a simple mechanical system model, we offer a minimalistic conceptual view of these complex interactions originating the frequency combs, together with showcasing their frequency tunability.

Original languageEnglish
Article number213
JournalCommunications Physics
Issue number1
StatePublished - 1 Dec 2023

ASJC Scopus subject areas

  • General Physics and Astronomy


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