Recall that ε << 1 and so from
We can devise that, for all values of k;
As we can see r remains constant, and so does the radius of the solution. Hence, we have a system that will move around a circle (which can be scaled to a unit circle) as the argument changes. Finally, we can replace the above value of rk into the coupling term of the equation of the argument to get the Kuramoto model;
We can devise that, for all values of k;
As we can see r remains constant, and so does the radius of the solution. Hence, we have a system that will move around a circle (which can be scaled to a unit circle) as the argument changes. Finally, we can replace the above value of rk into the coupling term of the equation of the argument to get the Kuramoto model;
