I got a blank figure while trying to plot the phase space

1 vue (au cours des 30 derniers jours)
OGUNGBEMI Ezekiel
OGUNGBEMI Ezekiel le 18 Mai 2023
I got a blank figure while trying to plot the phase space of this code.
This is the function file
function dxdt = IP(t,x,B,C,D,r,z,A,K)
dxdt = zeros(4,1);
dxdt(1) = x(3);
dxdt(2) = x(4);
dxdt(3) = (z*D*exp(-z*x(1))*(2*A*exp(2*z*r)*exp(-z*x(1)))+(B*exp(z*r))*(1+exp(-(z*x(1))))+2*C)/((1-exp(-(z*x(1))))^3)+K*(x(2)-x(1));
dxdt(4) = (z*D*exp(-z*x(2))*(2*A*exp(2*z*r)*exp(-z*x(2)))+(B*exp(z*r))*(1+exp(-(z*x(2))))+2*C)/((1-exp(-(z*x(2))))^3)+K*(x(1)-x(2));
end
this is the script:
close all
D=0.02;
r=0.04;
A=2.5;
B=0.001;
z=3.0;
C=3.25;
q1=0;
q2=0;
p1=0.632;
E=0.2;
p2=sqrt(2*E- p1^2);
dt=1/5;
tspan=[10:dt:100];
K=[0 0.050 0.5 1.5];
m=length(K);
for i=1:m;
[t x]=ode45(@(t,x)IP(t,x,B,C,D,r,z,A,K(i)),[0 100],[q1 q2 p1 p2]);
figure(1)
subplot(2,2,(i))
plot(x(:,1),x(:,3),'-b',x(:,2),x(:,4),'-r ')
xlabel('q');
ylabel('p');
end

Réponse acceptée

VBBV
VBBV le 18 Mai 2023
Choose better initial conditions e.g. for q1 and q2 they are both zero
close all
D=0.02;
r=0.04;
A=2.5;
B=0.01;
z=3.0;
C=3.25;
%>>>>>>>>> choose hetter intial coditions
q1=1;
q2=0.5;
%-->>>>>>>>>
p1=0.632;
E=0.2;
p2=sqrt(2*E- p1^2);
dt=1/5;
tspan=[10:dt:100];
K=[0 0.050 0.5 1.5];
m=length(K);
figure(1)
hold on
for i=1:m;
[t,x]=ode45(@(t,x)IP(t,x,B,C,D,r,z,A,K(i)),[0 100],[q1 q2 p1 p2]);
subplot(2,2,(i))
plot(x(:,1),x(:,3),'-b',x(:,2),x(:,4),'-r ')
end
xlabel('q');
ylabel('p');
function dxdt = IP(t,x,B,C,D,r,z,A,K)
dxdt = zeros(4,1);
dxdt(1) = x(3);
dxdt(2) = x(4);
dxdt(3) = (z*D*exp(-z*x(1))*(2*A*exp(2*z*r)*exp(-z*x(1)))+(B*exp(z*r))*(1+exp(-(z*x(1))))+2*C)/((1-exp(-(z*x(1))))^3)+K*(x(2)-x(1));
dxdt(4) = (z*D*exp(-z*x(2))*(2*A*exp(2*z*r)*exp(-z*x(2)))+(B*exp(z*r))*(1+exp(-(z*x(2))))+2*C)/((1-exp(-(z*x(2))))^3)+K*(x(1)-x(2));
end
  3 commentaires
VBBV
VBBV le 18 Mai 2023
yes, xlabel and ylabel commands need to be present inisde the loop
OGUNGBEMI Ezekiel
OGUNGBEMI Ezekiel le 18 Mai 2023
Thanks for the assistance. the result is not producing a phase space plot.

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