A coupled oscillator model for the origin of bimodality and multimodality

J. D. Johnson, Daniel M Abrams

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Article number073120
JournalChaos
Volume29
Issue number7
DOIs
StatePublished - Jul 1 2019

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Bimodality
Multimodality
Coupled Oscillators
Normal distribution
Gaussian distribution
oscillators
Kuramoto Model
Bimodal
normal density functions
Central limit theorem
theorems
Model
Class

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

Cite this

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A coupled oscillator model for the origin of bimodality and multimodality. / Johnson, J. D.; Abrams, Daniel M.

In: Chaos, Vol. 29, No. 7, 073120, 01.07.2019.

Research output: Contribution to journalArticle

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