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Molding the asymmetry of localized frequency-locking waves by a generalized forcing and implications to the inner ear

Yuval Edri, Dolores Bozovic, Ehud Meron, and Arik Yochelis
Phys. Rev. E 98, 020202(R) – Published 31 August 2018
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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 versus parametric forcing components; the stronger the parametric forcing, the more asymmetric is the response profile and the sharper is the traveling-wave front. The analysis qualitatively captures the empirically observed regions of linear and nonlinear responses and highlights the potential significance of parametric forcing mechanisms in shaping the resonant response in the inner ear.

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  • Received 3 December 2017
  • Revised 14 May 2018

DOI:https://doi.org/10.1103/PhysRevE.98.020202

©2018 American Physical Society

Physics Subject Headings (PhySH)

Physics of Living Systems

Authors & Affiliations

Yuval Edri1, Dolores Bozovic2, Ehud Meron1,3, and Arik Yochelis1,3,*

  • 1Department of Solar Energy and Environmental Physics, Swiss Institute for Dryland Environmental and Energy Research, Blaustein Institutes for Desert Research (BIDR), Ben-Gurion University of the Negev, Sede Boqer Campus, 8499000 Midreshet Ben-Gurion, Israel
  • 2Department of Physics and Astronomy and California NanoSystems Institute, University of California Los Angeles, Los Angeles, California 90095, USA
  • 3Department of Physics, Ben-Gurion University of the Negev, 8410501 Beer Sheva, Israel

  • *yochelis@bgu.ac.il

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Issue

Vol. 98, Iss. 2 — August 2018

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