 ##  [Kuramoto Model](/kuramoto-model) 

  ##  [Kuramoto Model](https://mathlogic.quantumdictionary.io/kuramoto-model-0) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A canonical mathematical model of N coupled phase oscillators, each with its own natural frequency, interacting through sinusoidal coupling so that phases evolve according to θ̇_i = ω_i + (K/N)∑_j sin(θ_j − θ_i). It is used to study synchronization transitions and collective phase coherence in heterogeneous oscillator populations.

 
 ##  [Kuramoto Model](https://engineering.quantumdictionary.io/kuramoto-model-1) 

  
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**Engineering &amp; Applied Technologies Dictionary**

 
Definition

A mathematical, phase-only model of N coupled oscillators in which each unit i is described by a phase θ_i and natural frequency ω_i and evolves according to dθ_i/dt = ω_i + (K/N) Σ_j sin(θ_j−θ_i).