difficulties to add the arrowheads on phase portrait
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Latifah
el 7 de Feb. de 2023
Respondida: Joel Van Sickel
el 16 de Feb. de 2023
I still have some difficulties to add the arrowheads nicely on the curved trajectories. With dynamics on the script is now fixed, you may post a new question on the arrowhead plotting issue
to = 0;
tf = 30;
tspan = to:0.1:tf;
iv1 = [ 12.3 0.1 0 0.1 0.1 ] ;
[t y] = ode45(@(t, y) lnear(t, y), tspan, iv1);
plot(y(:,1), y(:,5)), hold on
iv2 = [ 12.3 0 0 0 0 ] ;
[t x] = ode45(@(t, x) lnear(t, x), tspan, iv2);
plot(x(:,1), x(:,5)),
iv3 = [ 12.65 0 0 0.1 0.1 ] ;
[t z] = ode45(@(t, z) lnear(t, z), tspan, iv3);
plot(z(:,1), z(:,5)),
iv4 = [ 12.65 0.1 0.1 0 0 ] ;
[t n] = ode45(@(t, n) lnear(t, n), tspan, iv4);
plot(n(:,1), n(:,5)),
iv5 = [ 12.485594 0 0 0 0.12 ] ;
[t w] = ode45(@(t, w) lnear(t, w), tspan, iv5);
plot(w(:,1), w(:,5)),
iv6 = [ 12.3 0.1 0 0.1 0 ] ;
[t v] = ode45(@(t, v) lnear(t, v), tspan, iv6);
plot(v(:,1), v(:,5)),
iv7 = [ 12.4 0.05 0 0.05 0 ] ;
[t s] = ode45(@(t, s) lnear(t, s), tspan, iv7);
plot(s(:,1), s(:,5)),
iv8 = [ 12.65 0.05 0 0.05 0.05 ] ;
[t p] = ode45(@(t, p) lnear(t, p), tspan, iv8);
plot(p(:,1), p(:,5)),
iv9 = [ 12.6 0.05 0 0.05 0 ] ;
[t c] = ode45(@(t, c) lnear(t, c), tspan, iv9);
plot(c(:,1), c(:,5)), grid on
xlabel('y_1'), ylabel('y_5')
function dydt = lnear(t,y)
dydt = zeros(5, 1);
e1 = 13;
g = 0.0125;
h = 0.284253;
f = 0.05;
q1 = 0;
k1 = 10;
d1 = 0.0412;
e2 = 0.0188;
j = 0.0082;
q2 = 0;
k2 = 10;
d2 = 0.0288;
b = 2;
d4 = 0.1152;
e3 = 0.166667;
a = 1.7;
q3 = 0;
k3 = 10;
d3 = 0.1152;
r = 0.5;
m = 1.02;
q4 = 0;
k4 = 10;
dydt(1) = e1 + (g*y(3)*y(1)/(h + y(3))) + (f*y(3)*y(1)) - (y(1)*(1 + ((q1/k1)*y(1)))) - (d1*y(1));
dydt(2) = e2*y(2) + (f*y(1)*y(3)) - (j*y(2)) - (y(2)*(1 + ((q2/k2)*y(2)))) - (d2*y(2));
dydt(3) = (b*e2*y(2)) - (d4*y(3));
dydt(4) = e3*y(4) + (j*y(2)) - (a*y(4)) - (y(4)*(1 + ((q3/k3)*y(4)))) - (d3*y(4));
dydt(5) = (r*y(5)*(1 - (m*y(5)))) + (a*y(4)) - y(5)*(1 + ((q4/k4)*y(5)));
end
2 comentarios
Sargondjani
el 7 de Feb. de 2023
Please be more specific where you run into problems. What did you try? What does not work? What is even wrong with your arrow heads? You post a lot of questions, which seem to be of the type "please do my (home)work for me"
Respuesta aceptada
Joel Van Sickel
el 16 de Feb. de 2023
Here are some previous posts that discuss this topic.
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