Define the System:
\(\frac{dx}{dt} = \)
\(\frac{dy}{dt} = \)
\(\frac{dz}{dt} = \)
Display Settings:
Arrows
Scales
X:
Y:
Z:
Trajectory
Information
I recommend zooming out a bit, as the result is easier to comprehend in this case.
I have decided to keep the axes fixed length (in the clip space) for this project, but what the lengths represent can be changed according to the scales property.
The backward trajectory will be colored in bright pink, the forward in a light blue color.
The reason that we can see multiple layers of arrows without having rotated the axes into the 3D setting (refresh page to see what I mean), is because of the perspective projection.
Note that only \( \lfloor \sqrt[3]{n} \rfloor^{3} \) arrows will be displayed for parameter $n$, the number of arrows, so there is a jump in the number of arrows displayed for every cube number