A Coupled Oscillator Model for the Origin of Bimodality and Multimodality
| Autor: | Daniel M. Abrams, Joseph D. Johnson |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Class (set theory)
Gaussian FOS: Physical sciences General Physics and Astronomy Dynamical Systems (math.DS) 01 natural sciences 010305 fluids & plasmas Multimodality Normal distribution symbols.namesake 0103 physical sciences FOS: Mathematics Statistical physics Mathematics - Dynamical Systems 010306 general physics Mathematical Physics Central limit theorem Physics Applied Mathematics Kuramoto model 34C15 Statistical and Nonlinear Physics Nonlinear Sciences - Adaptation and Self-Organizing Systems Bimodality Coupling (physics) symbols Adaptation and Self-Organizing Systems (nlin.AO) |
| Popis: | 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. 11 pages, 12 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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