Studies // Cited work

Chemical oscillations, waves, and turbulence

Kuramoto, Y. (1984). Chemical oscillations, waves, and turbulence.

Level E Book doi:10.1007/978-3-642-69689-3

What this study supports

Supports attributing the coupled-oscillator model of synchronization to Kuramoto. It is mathematical and makes no claim about people, emotion or groups; its contents were not re-read for this appraisal, and the model's properties are cited from the 2000 review.

Who was studied
Not applicable: a mathematical monograph on oscillations and waves in chemical and other systems.
Design
Book
Level of evidence
Theory, classical and historical texts, records and software: no empirical claim of their own.

Claims that rest on it

Each claim states what the site asserts, at what strength, and with what caveat.

TheoreticalLevel DConfidence HIGH

In the Kuramoto model of coupled oscillators with natural frequencies drawn from a distribution, coupling above a threshold produces a transition in which some oscillators spontaneously synchronize while others remain incoherent.

Scope
The mathematical model in the limit of large populations.
Caveat
With the small numbers of oscillators in the page's simulation, the transition is blurred and the order parameter fluctuates.

Last reviewed · Review due · kuramoto-coupling-threshold