How to plot phase portrait given a system of equations

13 次查看(过去 30 天)
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.

采纳的回答

Alan Stevens
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
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.

请先登录,再进行评论。

更多回答(0 个)

类别

Help CenterFile Exchange 中查找有关 Mathematics 的更多信息

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by