Plotting multiple curves using ODE45
0
I am a beginner to using MATLAB, and I need a lot of help to understand what to do here.
I would like to plot multiple curves using different initial conditions to my system of ODEs.
Here is my code:
f = @(t,x) [-1*x(1)-x(3)*x(3);2*x(2);x(3)-x(2)*x(2)];
[t,xa] = ode45(f,[0 5],[-1 0 0]);
plot3(xa(:,1),xa(:,2),xa(:,3));
grid on
title('Solution curve')
Does anybody know how I could do this?
It would make plotting phase planes a lot easier.
matlab
edited Nov 13 '14 at 14:21
dustin
6,70892968
asked Nov 13 '14 at 14:05
MarcMarc
12
|
show 2 more comments
0
I am a beginner to using MATLAB, and I need a lot of help to understand what to do here.
I would like to plot multiple curves using different initial conditions to my system of ODEs.
Here is my code:
f = @(t,x) [-1*x(1)-x(3)*x(3);2*x(2);x(3)-x(2)*x(2)];
[t,xa] = ode45(f,[0 5],[-1 0 0]);
plot3(xa(:,1),xa(:,2),xa(:,3));
grid on
title('Solution curve')
Does anybody know how I could do this?
It would make plotting phase planes a lot easier.
matlab
edited Nov 13 '14 at 14:21
dustin
6,70892968
asked Nov 13 '14 at 14:05
MarcMarc
12
You want to just plot phase planes in Matlab?
– dustin
Nov 13 '14 at 14:13
Yes, or even just have 3 curves from different initial conditions.
– Marc
Nov 13 '14 at 14:23
At least you should tell us what error message you receive from MATLAB.
– Evgeny
Nov 13 '14 at 14:23
Heck, I'll settle with 2 curves, but 3 would be excellent. There is no error code, I just don't know how to do it.
– Marc
Nov 13 '14 at 14:23
I have code that does this already will post at 950 when i get out of class
– dustin
Nov 13 '14 at 14:24
|
show 2 more comments
0
0
0
I am a beginner to using MATLAB, and I need a lot of help to understand what to do here.
I would like to plot multiple curves using different initial conditions to my system of ODEs.
Here is my code:
f = @(t,x) [-1*x(1)-x(3)*x(3);2*x(2);x(3)-x(2)*x(2)];
[t,xa] = ode45(f,[0 5],[-1 0 0]);
plot3(xa(:,1),xa(:,2),xa(:,3));
grid on
title('Solution curve')
Does anybody know how I could do this?
It would make plotting phase planes a lot easier.
matlab
edited Nov 13 '14 at 14:21
dustin
6,70892968
asked Nov 13 '14 at 14:05
MarcMarc
12
I am a beginner to using MATLAB, and I need a lot of help to understand what to do here.
I would like to plot multiple curves using different initial conditions to my system of ODEs.
Here is my code:
f = @(t,x) [-1*x(1)-x(3)*x(3);2*x(2);x(3)-x(2)*x(2)];
[t,xa] = ode45(f,[0 5],[-1 0 0]);
plot3(xa(:,1),xa(:,2),xa(:,3));
grid on
title('Solution curve')
Does anybody know how I could do this?
It would make plotting phase planes a lot easier.
matlab
matlab
edited Nov 13 '14 at 14:21
dustin
6,70892968
asked Nov 13 '14 at 14:05
MarcMarc
12
edited Nov 13 '14 at 14:21
dustin
6,70892968
asked Nov 13 '14 at 14:05
MarcMarc
12
edited Nov 13 '14 at 14:21
dustin
6,70892968
edited Nov 13 '14 at 14:21
dustin
6,70892968
edited Nov 13 '14 at 14:21
dustin
6,70892968
6,70892968
asked Nov 13 '14 at 14:05
MarcMarc
12
asked Nov 13 '14 at 14:05
MarcMarc
12
asked Nov 13 '14 at 14:05
MarcMarc
12
12
You want to just plot phase planes in Matlab?
– dustin
Nov 13 '14 at 14:13
Yes, or even just have 3 curves from different initial conditions.
– Marc
Nov 13 '14 at 14:23
At least you should tell us what error message you receive from MATLAB.
– Evgeny
Nov 13 '14 at 14:23
Heck, I'll settle with 2 curves, but 3 would be excellent. There is no error code, I just don't know how to do it.
– Marc
Nov 13 '14 at 14:23
I have code that does this already will post at 950 when i get out of class
– dustin
Nov 13 '14 at 14:24
|
show 2 more comments
You want to just plot phase planes in Matlab?
– dustin
Nov 13 '14 at 14:13
Yes, or even just have 3 curves from different initial conditions.
– Marc
Nov 13 '14 at 14:23
At least you should tell us what error message you receive from MATLAB.
– Evgeny
Nov 13 '14 at 14:23
Heck, I'll settle with 2 curves, but 3 would be excellent. There is no error code, I just don't know how to do it.
– Marc
Nov 13 '14 at 14:23
I have code that does this already will post at 950 when i get out of class
– dustin
Nov 13 '14 at 14:24
You want to just plot phase planes in Matlab?
– dustin
Nov 13 '14 at 14:13
You want to just plot phase planes in Matlab?
– dustin
Nov 13 '14 at 14:13
Yes, or even just have 3 curves from different initial conditions.
– Marc
Nov 13 '14 at 14:23
Yes, or even just have 3 curves from different initial conditions.
– Marc
Nov 13 '14 at 14:23
At least you should tell us what error message you receive from MATLAB.
– Evgeny
Nov 13 '14 at 14:23
At least you should tell us what error message you receive from MATLAB.
– Evgeny
Nov 13 '14 at 14:23
Heck, I'll settle with 2 curves, but 3 would be excellent. There is no error code, I just don't know how to do it.
– Marc
Nov 13 '14 at 14:23
Heck, I'll settle with 2 curves, but 3 would be excellent. There is no error code, I just don't know how to do it.
– Marc
Nov 13 '14 at 14:23
I have code that does this already will post at 950 when i get out of class
– dustin
Nov 13 '14 at 14:24
I have code that does this already will post at 950 when i get out of class
– dustin
Nov 13 '14 at 14:24
|
show 2 more comments
1 Answer
1
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oldest
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0
As far as I've understood, you have problems with plotting multiple trajectories. Here is your modified code for the case of two trajectories:
title('Solution curve')
f = @(t,x) [-1*x(1)-x(3)*x(3);2*x(2);x(3)-x(2)*x(2)];
[t,xa] = ode45(f,[0 5],[-1 0 0]);
plot3(xa(:,1),xa(:,2),xa(:,3));
grid on
hold on
[t,xa] = ode45(f,[0 5],[-2 0 0]);
plot3(xa(:,1),xa(:,2),xa(:,3));
However, it's better to use loops when you have many trajectories.
answered Nov 13 '14 at 14:34
EvgenyEvgeny
4,63521022
It would be better to have a script that calls a function that will do this. That way you dont need to write a loop every time you want the phase plane. One would aimple change the function definition and hit run.
– dustin
Nov 13 '14 at 14:40
I agree. The loop here is just for handling many initial conditions.
– Evgeny
Nov 13 '14 at 14:42
This code isn't working, it is only plotting one curve.
– Marc
Nov 13 '14 at 14:56
@Marc It works, but graphically, only one curve is visible because they are superimposed. For instance, add the'o'option to one of the plot3 calls, e.g.plot3(xa(:,1),xa(:,2),xa(:,3),'o');.
– Harry49
Sep 1 '17 at 11:14
add a comment |
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As far as I've understood, you have problems with plotting multiple trajectories. Here is your modified code for the case of two trajectories:
title('Solution curve')
f = @(t,x) [-1*x(1)-x(3)*x(3);2*x(2);x(3)-x(2)*x(2)];
[t,xa] = ode45(f,[0 5],[-1 0 0]);
plot3(xa(:,1),xa(:,2),xa(:,3));
grid on
hold on
[t,xa] = ode45(f,[0 5],[-2 0 0]);
plot3(xa(:,1),xa(:,2),xa(:,3));
However, it's better to use loops when you have many trajectories.
answered Nov 13 '14 at 14:34
EvgenyEvgeny
4,63521022
It would be better to have a script that calls a function that will do this. That way you dont need to write a loop every time you want the phase plane. One would aimple change the function definition and hit run.
– dustin
Nov 13 '14 at 14:40
I agree. The loop here is just for handling many initial conditions.
– Evgeny
Nov 13 '14 at 14:42
This code isn't working, it is only plotting one curve.
– Marc
Nov 13 '14 at 14:56
@Marc It works, but graphically, only one curve is visible because they are superimposed. For instance, add the'o'option to one of the plot3 calls, e.g.plot3(xa(:,1),xa(:,2),xa(:,3),'o');.
– Harry49
Sep 1 '17 at 11:14
add a comment |
0
As far as I've understood, you have problems with plotting multiple trajectories. Here is your modified code for the case of two trajectories:
title('Solution curve')
f = @(t,x) [-1*x(1)-x(3)*x(3);2*x(2);x(3)-x(2)*x(2)];
[t,xa] = ode45(f,[0 5],[-1 0 0]);
plot3(xa(:,1),xa(:,2),xa(:,3));
grid on
hold on
[t,xa] = ode45(f,[0 5],[-2 0 0]);
plot3(xa(:,1),xa(:,2),xa(:,3));
However, it's better to use loops when you have many trajectories.
answered Nov 13 '14 at 14:34
EvgenyEvgeny
4,63521022
It would be better to have a script that calls a function that will do this. That way you dont need to write a loop every time you want the phase plane. One would aimple change the function definition and hit run.
– dustin
Nov 13 '14 at 14:40
I agree. The loop here is just for handling many initial conditions.
– Evgeny
Nov 13 '14 at 14:42
This code isn't working, it is only plotting one curve.
– Marc
Nov 13 '14 at 14:56
@Marc It works, but graphically, only one curve is visible because they are superimposed. For instance, add the'o'option to one of the plot3 calls, e.g.plot3(xa(:,1),xa(:,2),xa(:,3),'o');.
– Harry49
Sep 1 '17 at 11:14
add a comment |
0
0
0
As far as I've understood, you have problems with plotting multiple trajectories. Here is your modified code for the case of two trajectories:
title('Solution curve')
f = @(t,x) [-1*x(1)-x(3)*x(3);2*x(2);x(3)-x(2)*x(2)];
[t,xa] = ode45(f,[0 5],[-1 0 0]);
plot3(xa(:,1),xa(:,2),xa(:,3));
grid on
hold on
[t,xa] = ode45(f,[0 5],[-2 0 0]);
plot3(xa(:,1),xa(:,2),xa(:,3));
However, it's better to use loops when you have many trajectories.
answered Nov 13 '14 at 14:34
EvgenyEvgeny
4,63521022
As far as I've understood, you have problems with plotting multiple trajectories. Here is your modified code for the case of two trajectories:
title('Solution curve')
f = @(t,x) [-1*x(1)-x(3)*x(3);2*x(2);x(3)-x(2)*x(2)];
[t,xa] = ode45(f,[0 5],[-1 0 0]);
plot3(xa(:,1),xa(:,2),xa(:,3));
grid on
hold on
[t,xa] = ode45(f,[0 5],[-2 0 0]);
plot3(xa(:,1),xa(:,2),xa(:,3));
However, it's better to use loops when you have many trajectories.
answered Nov 13 '14 at 14:34
EvgenyEvgeny
4,63521022
answered Nov 13 '14 at 14:34
EvgenyEvgeny
4,63521022
answered Nov 13 '14 at 14:34
EvgenyEvgeny
4,63521022
answered Nov 13 '14 at 14:34
EvgenyEvgeny
4,63521022
4,63521022
It would be better to have a script that calls a function that will do this. That way you dont need to write a loop every time you want the phase plane. One would aimple change the function definition and hit run.
– dustin
Nov 13 '14 at 14:40
I agree. The loop here is just for handling many initial conditions.
– Evgeny
Nov 13 '14 at 14:42
This code isn't working, it is only plotting one curve.
– Marc
Nov 13 '14 at 14:56
@Marc It works, but graphically, only one curve is visible because they are superimposed. For instance, add the'o'option to one of the plot3 calls, e.g.plot3(xa(:,1),xa(:,2),xa(:,3),'o');.
– Harry49
Sep 1 '17 at 11:14
add a comment |
It would be better to have a script that calls a function that will do this. That way you dont need to write a loop every time you want the phase plane. One would aimple change the function definition and hit run.
– dustin
Nov 13 '14 at 14:40
I agree. The loop here is just for handling many initial conditions.
– Evgeny
Nov 13 '14 at 14:42
This code isn't working, it is only plotting one curve.
– Marc
Nov 13 '14 at 14:56
@Marc It works, but graphically, only one curve is visible because they are superimposed. For instance, add the'o'option to one of the plot3 calls, e.g.plot3(xa(:,1),xa(:,2),xa(:,3),'o');.
– Harry49
Sep 1 '17 at 11:14
It would be better to have a script that calls a function that will do this. That way you dont need to write a loop every time you want the phase plane. One would aimple change the function definition and hit run.
– dustin
Nov 13 '14 at 14:40
It would be better to have a script that calls a function that will do this. That way you dont need to write a loop every time you want the phase plane. One would aimple change the function definition and hit run.
– dustin
Nov 13 '14 at 14:40
I agree. The loop here is just for handling many initial conditions.
– Evgeny
Nov 13 '14 at 14:42
I agree. The loop here is just for handling many initial conditions.
– Evgeny
Nov 13 '14 at 14:42
This code isn't working, it is only plotting one curve.
– Marc
Nov 13 '14 at 14:56
This code isn't working, it is only plotting one curve.
– Marc
Nov 13 '14 at 14:56
@Marc It works, but graphically, only one curve is visible because they are superimposed. For instance, add the
'o' option to one of the plot3 calls, e.g. plot3(xa(:,1),xa(:,2),xa(:,3),'o');.– Harry49
Sep 1 '17 at 11:14
@Marc It works, but graphically, only one curve is visible because they are superimposed. For instance, add the
'o' option to one of the plot3 calls, e.g. plot3(xa(:,1),xa(:,2),xa(:,3),'o');.– Harry49
Sep 1 '17 at 11:14
add a comment |
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You want to just plot phase planes in Matlab?
– dustin
Nov 13 '14 at 14:13
Yes, or even just have 3 curves from different initial conditions.
– Marc
Nov 13 '14 at 14:23
At least you should tell us what error message you receive from MATLAB.
– Evgeny
Nov 13 '14 at 14:23
Heck, I'll settle with 2 curves, but 3 would be excellent. There is no error code, I just don't know how to do it.
– Marc
Nov 13 '14 at 14:23
I have code that does this already will post at 950 when i get out of class
– dustin
Nov 13 '14 at 14:24