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Non-linear coupling in two non-linear delayed acoustic resonatorsa).

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We studied coupled acoustic resonators with feedback loops. Modulating gain and coupling strength shows frequency synchronization at low amplitudes and desynchronization at higher amplitudes, offering insights into auditory systems.

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Area of Science:

  • Acoustics
  • Non-linear Dynamics
  • Auditory Neuroscience

Background:

  • The human inner ear contains thousands of coupled resonators.
  • Previous work established a Hopf resonator mimicking the cochlear amplifier.
  • Understanding resonator interactions is crucial for auditory modeling.

Purpose of the Study:

  • To investigate the coupling mechanisms between acoustic resonators.
  • To analyze the effects of detuned resonance frequencies and time-delayed feedback loops.
  • To explore non-linear interactions in coupled acoustic systems.

Main Methods:

  • Coupling two acoustic resonators with slightly detuned resonance frequencies.
  • Implementing time-delayed feedback loops.
  • Modulating loop gain and coupling strength.

Main Results:

  • Observed frequency synchronization at low amplitudes.
  • Demonstrated bifurcations leading to desynchronization at higher amplitudes.
  • Showcased tunable non-linear interactions.

Conclusions:

  • Coupled resonators exhibit amplitude-dependent synchronization and desynchronization.
  • This tunable non-linear interaction provides insights into resonance phenomena.
  • Findings have potential implications for auditory modeling and complex acoustic systems.