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arXiv · 1905.05230

A Coupled Oscillator Model for the Origin of Bimodality and Multimodality

Joseph D. Johnson·Daniel M. Abrams
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Abstract

Perhaps because of the elegance of the central limit theorem, it is often assumed that distributions in nature will approach singly-peaked, unimodal shapes reminiscent of the Gaussian normal distribution. However, many systems behave differently, with variables following apparently bimodal or multimodal distributions. Here we argue that multimodality may emerge naturally as a result of repulsive or inhibitory coupling dynamics, and we show rigorously how it emerges for a broad class of coupling functions in variants of the paradigmatic Kuramoto model.

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Joseph D. Johnson, Daniel M. Abrams. 2019-05-13. A Coupled Oscillator Model for the Origin of Bimodality and Multimodality. https://doi.org/10.1063/1.5100289

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