Linked Questions
11 questions linked to/from Is there a Mathematica version of ODE tools pplane and dfield?
38
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7
answers
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How can I plot the direction field for a differential equation?
I'd like to plot the graph of the direction field for a differential equation, to get a feel for it. I'm a novice, right now, when it comes to plotting in Mathematica, so I'm hoping that someone can ...
46
votes
3
answers
71k
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Plotting a Phase Portrait
I'm trying to plot a phase portrait for the differential equation
$$x'' - (1 - x^2) x' + x = 0.5 \cos(1.1 t)\,.$$
The primes are derivatives with respect to $t$. I've reduced this second order ODE to ...
27
votes
2
answers
3k
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Phase portrait on a cylinder
It is very nice and very easy to make a sketch of a phase portrait with StreamPlot. For example, for the classical pendulum, defined by
\begin{eqnarray*}
\dot x&...
3
votes
3
answers
3k
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Phase portraits and StreamPlot
I typed
StreamPlot[{y, x-x^3-0.3y+0.5Cos[1.25t]}, {x, -2.5, 2.5}, {y, -2.5, 2.5}]
but all I got was a blank plot. What did I do wrong and can I fix it?
13
votes
1
answer
1k
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Why isn't my Stream code plotting multiple solution curves?
My code is:
...
5
votes
3
answers
1k
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Plotting the direction field of a differential equation
I have to sketch the direction field for the following differential equation:
$$\frac{dy}{dx}=\frac{-0.02 y +0.00002 xy}{0.08 x-0.001xy}$$
This is the code I used, which gives an incorrect plot:
<...
4
votes
2
answers
666
views
Cleaner Approach to Plotting Multiple Solution Curves on Phase Portrait
I am trying to plot multiple solution curves onto a phase portrait. I used the approach shown here, but is there a cleaner approach?
For example, can we just add a parameter $n$, that randomly ...
9
votes
1
answer
425
views
How to plot a vector field on a geographic map?
Suppose I want to VectorPlot on a geographic map a vector field defined on a Reference Ellipsoid.
The field is given to the following function as a ...
1
vote
1
answer
985
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Phase Portrait Trajectories
How do I make a phase portrait which looks like the ones demonnstrated here? Not the fancy version where I can use the controls to change it, just a screen-shotted version of say a spiral point? Any ...
2
votes
1
answer
473
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How to make program for phase portrait?
I need to add a phase portrait to my program. The program is below, and I need to create a graph like the one in the picture. My step size needs to be 5, from x0,y0 = 10 to x0,y0 = 50.
...
2
votes
1
answer
282
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Graphics Grid Direction Field Animations as GIF
I want to create a graphics grid as in this example below, but for the manipulate example below and store that as a playable gif file. Is this possible (I would like to see each grid location running ...