Trying to find the value of K where all theta maintains constant differences with other theta
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%Four neurons coupled in a neuronal system.
%each of the ith neuron is connected to other j neurons
%angular frequencies
%w1=0.26
%w2=0.24
%w3=0.27
%w4=0.25
%Determine the minimum value of K
%All these delta i will lock using ode45
%no loop
%i=1,2,3,4
%j=1
%%
clearvars;
close all;
clc;
[K,y]=ode45(@BonusPointQ2Part2,[0 100],[0 0 0 0]);
plot(y(:,1),y(:,2),y(:,3),y(:,4))
grid on
function dydt=BonusPointQ2Part2(K,theta)
dydt=zeros(4,1);
w1=0.26
w2=0.24
w3=0.27
w4=0.25
dydt(1)=w1 + (K./4).* (sin(theta(1)-theta(1)) + sin(theta(2)-theta(1)) + sin(theta(3)-theta(1)) + sin(theta(4)-theta(1)));
dydt(2)=w2 + (K./4).* (sin(theta(1)-theta(2)) + sin(theta(2)-theta(2)) + sin(theta(3)-theta(2)) + sin(theta(4)-theta(2)));
dydt(3)=w3 + (K./4).* (sin(theta(1)-theta(3)) + sin(theta(2)-theta(3)) + sin(theta(3)-theta(3)) + sin(theta(4)-theta(3)));
dydt(4)=w4 + (K./4).* (sin(theta(1)-theta(4)) + sin(theta(2)-theta(4)) + sin(theta(3)-theta(4)) + sin(theta(4)-theta(4)));
end
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