Molding the asymmetry of localized frequency-locking waves by a generalized forcing and implications to the inner ear
arXiv:1808.04650 · doi:10.1103/PhysRevE.98.020202
Abstract
Frequency locking to an external forcing frequency is a {well} known phenomenon. In the auditory system, it results in a localized traveling wave, the shape of which is essential for efficient discrimination between incoming frequencies. An amplitude equation approach is used to show that the shape of the localized traveling wave depends crucially on the relative strength of additive vs. parametric forcing components; the stronger the parametric forcing the more asymmetric the response profile and the sharper the traveling-wave front. The analysis captures the empirically observed regions of linear and nonlinear responses and highlights the significance of parametric forcing mechanisms in shaping the resonant response in the inner ear.
arXiv comment6 pages, 4 figures
References in corpus (14)
- The World of the Complex Ginzburg-Landau Equation
- Essential nonlinearities in hearing
- Auditory Sensitivity Provided by Self-tuned Critical Oscillations of Hair Cells
- The physics of hearing: fluid mechanics and the active process of the inner ear
- Response of parametrically-driven nonlinear coupled oscillators with application to micro- and nanomechanical resonator arrays
- The Active Traveling Wave in the Cochlea
- The Cochlear Tuning Curve
- Resonance tongues and patterns in periodically forced reaction-diffusion systems
- A Phase Front Instability in Periodically Forced Oscillatory Systems
- A ratchet mechanism for amplification in low-frequency mammalian hearing
- On the Origin of Traveling Pulses in Bistable Systems
- Frequency locking in auditory hair cells: Distinguishing between additive and parametric forcing
- An immersed boundary model of the cochlea with parametric forcing
- Comb-like Turing patterns embedded in Hopf oscillations: Spatially localized states outside the 2:1 frequency locked region