Linked Questions

139 votes
8 answers
9k views

Can one identify the design patterns of Mathematica?

... or are they unnecessary in such a high-level language? I've been thinking about programming style, coding standards and the like quite a bit lately, the result of my current work on a mixed .Net/...
Verbeia's user avatar
  • 34.3k
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{...
Gregory Lane's user avatar
7 votes
2 answers
503 views

Plotting the image of a curve under a flow

I have some explicit time-independent vector field on the plane, and I would like to study how points evolve under the flow generated by this vector field. The flow is rather complicated and cannot be ...
user45824's user avatar
0 votes
3 answers
422 views

Speed up manipulate by exporting each step as an image

Consider a manipulate function such as: ...
martin's user avatar
  • 8,748
1 vote
1 answer
865 views

Looping with NDSolve?

I have a series of PDE equations that are solved with NDSolve for certain variables $a$ and $b$ - Now, I want to see the output at a time $t$ as $a$ and $b$ change; so I was thinking of a loop ...
DRG's user avatar
  • 877
1 vote
2 answers
334 views

NDSolve ensemble of initial points

I want to illustrate how the differential equation depends on the initial conditions. First if all differential equations: ...
WoofDoggy's user avatar
  • 314
5 votes
0 answers
407 views

Volume Deformation

I want to do a volume deformation based on Bezier volumes. For example, if I have a triangle mesh, then I want to deform the mesh into a weird shape like the example image attached here. Can anyone ...
BayWilson's user avatar
  • 347
1 vote
1 answer
385 views

how to create Panel for Plot?

Can You advice me how to put the whole thing below into an interactive Panel, so I can values of parameters dynamically - type other values (alpha, beta, x0, y0, R, tmax) and plot updates ...
WoofDoggy's user avatar
  • 314
3 votes
2 answers
174 views

Transform a region using the flow of differential equation

I was looking to apply a nonlinear transformation to a geometric region, say a rectangle to obtain a transformed region. According to the documentation for TransformedRegion, one requires a Region and ...
NoobNoob's user avatar
  • 159
3 votes
1 answer
156 views

Reevaluation issue in Animate

I have an animation coded like this: ...
Pirx's user avatar
  • 4,149