3 ms·
If the balls don’t interact with each other and they all have the same initial condition, why would their paths diverge? Is it just down to lack of numerical pr
by Xophmeister 3y ago
If the balls don’t interact with each other and they all have the same initial condition, why would their paths diverge? Is it just down to lack of numerical precision, that compounds on each bounce?
- whenlambo 3y agoQuoting the author: “Whenever I animate more than one ball in these animations, the starting positions are slightly different. For chaotic systems, like this, the distances between the balls increases exponentially.”
- rubatuga 3y agoVideo description: "In the 1000-ball part balls are initially mutually separated by less than a millionth of the plot width. "
- pavel_lishin 3y agoI was wondering this too! The video description states: > In the 1000-ball part balls are initially mutually separated by less than a millionth of the plot width.
- vikingerik 3y agoRight. Also I think the initial drop position is deliberately selected to get the balls separating sooner. Once they get over the hump to the right side, they make several successive bounces at very shallow angles to the surface, which will magnify a small difference in ball position into a greater difference in bounce position and timing.
- Macha 3y agoThey don't have the same initial condition. It appears that in the rendering because it has a much lower resolution than the simulation it is rendering.