How to plot phase portrait given a system of equations
13 次查看(过去 30 天)
显示 更早的评论
Suppose I have the system represented as

How would I plot the phase portriats for A=0.5,1, and 3? I know how to do it if I was given the equations, but I am confused how I would do it given matrix notation. Thank you.
0 个评论
采纳的回答
Alan Stevens
2021-2-12
Do you mean something like this
A = 0.5;
M = [A 0; 1 A];
dXdt = @(t,X) M*X;
tspan = [0 1];
X0 = [1; 1];
[t, X] = ode45(dXdt, tspan, X0);
x1 = X(:,1); x2 = X(:,2);
V = dXdt(t,X')';
v1 = V(:,1); v2 = V(:,2);
figure
plot(t,x1,t,x2), grid
xlabel('t'),ylabel('x')
legend('x1','x2')
figure
subplot(2,1,1)
plot(x1,v1),grid
xlabel('x1'),ylabel('v1')
subplot(2,1,2)
plot(x2,v2),grid
xlabel('x2'),ylabel('v2')
3 个评论
prajith samraj
2021-8-18
x'' + a x' +bx+cx^3 +c x5= f coswt
how would you plot phase portrait . i have some parameter from above equations and i have choose the control parameter f. how to write phase portrait code in matlab.
更多回答(0 个)
另请参阅
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!