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Area of Science:

  • Physics
  • Mechanical Engineering
  • Nanoscience

Background:

  • Singularities are crucial in physics and sensor development.
  • Higher-order singularities usually require complex system tuning or nonlinear potentials.

Purpose of the Study:

  • To theoretically propose and experimentally confirm a novel cusp singularity in coupled mechanical modes.
  • To demonstrate enhanced performance in micromechanical systems using this singularity.

Main Methods:

  • Theoretical proposal of a cusp singularity in phase-tracked (PhT) steady states.
  • Experimental confirmation using a pair of coherently coupled mechanical modes.
  • Manipulation of PhT singularities in an electrostatically tunable micromechanical system.

Main Results:

  • Existence of an unexplored cusp singularity demonstrated.
  • Achieved a cubic-root enhanced response to frequency perturbations.
  • Showcased a new phase-tracking method for interacting systems.

Conclusions:

  • Introduced a simple method to achieve higher-order singularities without complex requirements.
  • Highlighted potential applications in precision metrology, nonreciprocal devices, and on-chip mechanical computing.
  • Opened new avenues for engineering advanced singular devices.