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Area of Science:

  • Acoustics
  • Nonlinear Dynamics
  • Condensed Matter Physics

Background:

  • Multistability in nonlinear systems is crucial for applications like memory devices.
  • Controlling transitions between multiple stable states remains a significant challenge.
  • Previous studies often lacked methods for accessing all dynamically stable states.

Purpose of the Study:

  • To theoretically propose and experimentally demonstrate a nonlinear acoustic dimer system.
  • To investigate the role of amplitude-dependent and sign-reversible coupling in controlling multistability.
  • To achieve programmable control over multiple dynamically stable states.

Main Methods:

  • Theoretical modeling of a nonlinear acoustic dimer with engineered inter-resonator coupling.
  • Experimental realization of the proposed acoustic system.
  • Analysis of steady-state responses, hysteresis loops, and basin-of-attraction.
  • Development of an adiabatic protocol for state selection.

Main Results:

  • The system exhibits a quintic steady-state response with up to three stable states: low (LS), intermediate (IS), and high (HS).
  • Asymmetric hysteresis observed during monotonic sweeps, with IS dynamically inaccessible under conventional driving.
  • Nonlinear coupling reshapes phase-space geometry, isolating the IS.
  • A novel up-down-up adiabatic protocol successfully accessed all stable states, including the IS.
  • Transitions from bistable to tristable regimes observed by varying drive frequency and damping.

Conclusions:

  • This work presents the first experimental realization of nonlinear-coupling-governed multistability.
  • The engineered coupling provides unprecedented control over multistability and state selection.
  • The developed adiabatic protocol offers a versatile route for programmable multistate control in nonlinear systems.