Linked Questions
11 questions linked to/from Phase portrait on a cylinder
5
votes
1
answer
167
views
How to plot on a curved plane? [duplicate]
I'm ploting the phase space of a pendulum problem using a symplectic Euler scheme.
$\qquad H = \frac{1}{2}p^2 - \cos q$, where $\dot{p}=-\sin q$ and $\dot{q}=p$
...
- 283
23
votes
2
answers
7k
views
Basins of Attraction
How does one shade the basin(s) of attraction of a phase plot in Mathematica? I have been trying to do this using the system
$$\begin{align*}
\dot x &= y\\
\dot y &= -9\sin(x) - 0.20y
\end{...
- 263
15
votes
2
answers
3k
views
Mapping StreamPlot onto spherical surfaces
Suppose I have some vector field equations $(f(\theta,\phi), g(\theta,\phi))$. The StreamPlot can be created easily in 2D, but I would like to visualize the stream ...
- 555
9
votes
1
answer
2k
views
How to add texture to solid Graphics3D object such as cylinder?
I'd like to add texture to a Cylinder inside Graphics3D. I can't see how to use FaceForm and ...
- 150k
5
votes
1
answer
1k
views
Is there a Mathematica version of ODE tools pplane and dfield?
The toolkits dfield and pplane are staples in ODE courses. First in MATLAB, now in Java. Do they have a Mathematica expression?
Sample outputs follow:
@Michael E2
Your suggestions were great. Here ...
- 1,092
1
vote
1
answer
241
views
Draw phase portrait with StreamPlot on a sphere [closed]
I would like to draw this phase portrait using StreamPlot on sphere as in this picture
like that
In fact, i have seen this for the classical pendulum defined by ...
- 119
4
votes
1
answer
367
views
plot of phase on cylinder
I have a data including the function theta as a function of x ranging from 0 to pi and the function theta ranges from -pi to pi or from 0 to 2pi:
I would like to plot this function something like ...
- 41
3
votes
2
answers
166
views
Plotting a vector field on a cylinder
Assume a parametric equation for a cylinder
$$\mathrm{cyl} (\theta, z) = (r \cos\theta, r \sin\theta,z)$$
and a vector field given by
$$\mathrm{vecField} (\theta, z)=\frac{\sin(\alpha)}{r}\partial_\...
- 31
2
votes
1
answer
206
views
The vectorfield for nonauntonomous system?
The model is a nonautonomous system
$x'=(2+cos(2 π t))x -0.5 x^2-0.5$
and it can be transformed to the autonomous form by
...
- 469
1
vote
0
answers
243
views
Mapping two textures over a 3D surface
I would like to show the current distribution in a thin cylinder in 3D. The figure below shows the open cylinder.
I am trying to use that figure as a texture in a 3D plot inspired by this answer.
<...
0
votes
0
answers
93
views
streamplot for differntial equation
how I can use StreamPlot or VectorPlot to show x[t] and 1-x[t] and show convergence point in my plot with a different colour like a blue point?
...
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