How to draw the direction field of van der pol oscillator?
8 views (last 30 days)
Show older comments
Hi, I am trying to get the direction field and phase portrait shown on this wiki page:
My code:
options = odeset('MaxStep',0.5);
temp = inputdlg('Enter mu value');
mu = str2double(temp{1,1});
[t,y] = ode45(@(t,y) vdp1_1(t,y,mu),[0 10],[2; 0],options);
figure(1);
plot(t,y(:,1)),
xlabel('time t');
ylabel('Y1(t)');
title('t vs Y1(t)');
figure(2);
plot(t,y(:,2))
xlabel('time t');
ylabel('Y2(t)');
title('t vs Y2(t)');
figure(3),
plot(y(:,1),y(:,2)) , hold on
quiver(y(:,1), y(:,2), gradient(y(:,1)), gradient(y(:,2) ))
hold off
function dydt = vdp1_1(t,y,mu)
dydt = zeros(2,1);
dydt(1) = y(2);
dydt(2) = [mu * (1-y(1)^2)*y(2)-y(1)];
end
Output
Desired output: How to get the direction field on top of this as shown in the wiki page figure https://en.wikipedia.org/wiki/Van_der_Pol_oscillator#/media/File:VanDerPolOscillator.png
Thanks, Gopi
Answers (1)
See Also
Categories
Find more on Ordinary Differential Equations in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!