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arXiv · 1612.03168

Mathematical modelling of the electric sense of fish: the role of multi-frequency measurements and movement

Habib Ammari·Thomas Boulier·Josselin Garnier·Han Wang
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Abstract

Understanding active electrolocation in weakly electric fish remains a challenging issue. In this article we propose a mathematical formulation of this problem, in terms of partial differential equations. This allows us to detail two algorithms: one for localizing a target using the multi-frequency aspect of the signal, and antoher one for identifying the shape of this target. Shape recognition is designed in a machine learning point of view, and take advantage of both the multi-frequency setup and the movement of the fish around its prey. Numerical simulations are shown for the computation of the electric field emitted and sensed by the fish; they are then used as an input for the two algorithms.

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Habib Ammari, Thomas Boulier, Josselin Garnier, Han Wang. 2016-12-09. Mathematical modelling of the electric sense of fish: the role of multi-frequency measurements and movement. https://doi.org/10.1088/1748-3190%2Faa5296

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