3.0. Kuramoto

Introduction
1. •
2. •
Derivation
1. •
2. •
3. •
4. •
Kuramoto
1. •
2. •
3. •
4. •
5. •
Simulator
1. •
Modifications
1. •
2. •
3. •
References
1. •
2. •

The Kuramoto model considers a system of globally coupled oscillators, defined using the following equation [6].

Kuramoto Model Equation

Where θ_i is the phase of oscillator i, ω_i is the natural frequency of oscillator i, N is the total number of oscillators in the system and K is a constant referred to as the coupling constant.

The Kuramoto Model and it's corresponding analysis assumes the following to be true [4];

All oscillators in the system are Globally Coupled.
Individually, the oscillators are identical, except for possibly different natural frequencies ω_i.
The phase response curve depends on the phase between two oscillators.
The phase response curve is of a sinusoidal form.