Synchronization of Sound Sources

Abstract

Sound generation and -interaction is highly complex, nonlinear and self-organized. Already 150 years ago Lord Rayleigh raised the following problem: Two nearby organ pipes of different fundamental frequencies sound together almost inaudibly with identical pitch. This effect is now understood qualitatively by modern synchronization theory (M. Abel et al., J. Acoust. Soc. Am., 119(4), 2006). For a detailed, quantitative investigation, we substituted one pipe by an electric speaker. We observe that even minute driving signals force the pipe to synchronization, thus yielding three decades of synchronization -- the largest range ever measured to our knowledge. Furthermore, a mutual silencing of the pipe is found, which can be explained by self-organized oscillations, of use for novel methods of noise abatement. Finally, we develop a specific nonlinear reconstruction method which yields a perfect quantitative match of experiment and theory.

5 pages, 4 figures

References in corpus (3)

• Topological time series analysis of a string experiment and its synchronized model
• Synchronization of organ pipes: experimental observations and modeling
• Additive Nonparametric Reconstruction of Dynamical Systems from Time Series

Cited by in corpus (8)

• Oscillation death in diffusively coupled oscillators by local repulsive link
• Parametric oscillation, frequency mixing and injection locking of strongly coupled nanomechanical resonator modes
• Diverse routes of transition from amplitude to oscillation death in coupled oscillators under additional repulsive link
• Synchronization of organ pipes
• Orbital Synchronization Capture of Two Binaries Emitting Gravitational Waves
• Mode-locking in advection-reaction-diffusion systems: an invariant manifold perspective
• On the Dynamics of the Flow and the Sound Field of an Organ Pipes's Mouth Region
• The Arnold-Tongue of Coupled Acoustic Oscillators