how to mark a given point on the graph?

ti = 0;
tf = 1E-3;
tspan=[ti tf];
KC = 4E-3;
y0= [ (10e-6)*rand(2,1); ((-3.14).*rand(1,1) + (3.14).*rand(1,1));
      (10e-6)*rand(2,1); ((-3.14).*rand(1,1) + (3.14).*rand(1,1));
      (10e-6)*rand(2,1); ((-3.14).*rand(1,1) + (3.14).*rand(1,1)); 
      (10e-6)*rand(2,1); ((-3.14).*rand(1,1) + (3.14).*rand(1,1)); 
      (10e-6)*rand(2,1); ((-3.14).*rand(1,1) + (3.14).*rand(1,1));
      ((-3.14).*rand(5,1) + (3.14).*rand(5,1))];
yita_mn = [
    0 1 0 0 1;
    1 0 1 0 0; 
    0 1 0 1 0;
    0 0 1 0 1;
    1 0 0 1 0;
      ]*(KC);
N = 5;
t = 1E-3;
o = sort(10e2*rand(1,10),'ascend');
[T,Y]= ode45(@(t,y) rate_eq(t,y,yita_mn,N,o),tspan,y0);

figure(1)
plot(Y(:,1),(Y(:,2)),'linewidth',2);
% i want to mark in y axis 3.57832 and in x axis 0.092
xlabel("Gain")
ylabel("Amplitude")
grid on
set(gca,'fontname','times New Roman','fontsize',18,'linewidth',1.8);

function dy = rate_eq(t,y,yita_mn,N,o)

dy = zeros(4*N,1);
dGdt = zeros(N,1);
dAdt = zeros(N,1);
dOdt = zeros(N,1);
P = 1.27;
a = 0.1;
tc = 230E-6;
tp = 5.4E-9;
Gt = y(1:3:3*N-2);
At = y(2:3:3*N-1);
Ot = y(3:3:3*N-0);
k = 4E-3;
for i = 1:N
    dGdt(i) = (P - Gt(i).*((abs(At(i)))^2 +1))./tc ; 
    dAdt(i) = (Gt(i)-a).*((At(i))./tp);
    dOdt(i) = o(1,i);  
    for j = 1:N
        dAdt(i) = dAdt(i)+yita_mn(i,j)*(1/tp)*(At(j))*cos(Ot(j)-Ot(i));
        dOdt(i) = dOdt(i)+yita_mn(i,j)*(1/tp)*((At(j)/At(i)))*sin(Ot(j)-Ot(i));
    end
end
dy(1:3:3*N-2) = dGdt;
dy(2:3:3*N-1) = dAdt;
dy(3:3:3*N-0) = dOdt;

n1 = (1:5)';
n2 = circshift(n1,-1);
n16 = n1 + 15;
n17 = circshift(n16,-1);
n20 = circshift(n16,1);

j2 =  3*(1:5)-1;
j5 = circshift(j2,-1);
j8 = circshift(j2,-2);
j19 = circshift(j2,1);

dy(n16) =  o(1,n2).' - o(1,n1).' - (k./tp).*(y(j2)./y(j5)).*sin(y(n16)) - (k./tp).*(y( j5)./y(j2)).*sin(y(n16)) + (k./tp).*(y(j8)./y(j5)).*sin(y(n17)) + (k./tp).*(y(j19)./y(j2)).*sin(y(n20));  
end

[Star Strider]

After the plot call in figure(1), add:

hold on

plot(3.57832, 0.092, 'xr') % i want to mark in y axis 3.57832 and in x axis 0.092

hold off

However that is not anywhere near the plotted lines.

Be certain that you have the value correct for the x-coordinate (3.57832).

[dpb]

"i want to mark in y axis 3.57832 and in x axis 0.092"

That's in the edge of the dark blob where line space is so close as to be indistinguishable, but definitely in the ROI.

You swapped x,y, Star... :)

hXY=plot(0.092,3.57832,'xr');

where saved a handle to the specific point/line so can delete/recreate/modify at will more easily...

[SAHIL SAHOO]

thanks for the help