3 ms·
Allow me to draw your attention to this astounding diagram my friend showed me: http://en.wikipedia.org/wiki/File:All.png http://en.wikipedia.org/wiki/File:All.
by JonnieCache 16y ago
Allow me to draw your attention to this astounding diagram my friend showed me:
http://en.wikipedia.org/wiki/File:All.png http://en.wikipedia.org/wiki/File:All.png
"The colour of each pixel indicates whether either pendulum of a double pendulum flips within 10 (green), within 100 (red), 1000 (purple) or 10000 (blue). Those that don't flip within 10000 are plotted white. The angle that the upper pendulum makes with the vertical initially ranges from -3 at the left-hand side of the plot to +3 at the right-hand side. The angle that the lower pendulum initial makes with the vertical ranges from -3 at the top to +3 at the bottom."
Mathematics people: Does this image represent the landscape this robot walks in any way?
- mdda 16y agoThat diagram is showing something related, but not really directly applicable. The important extra feature the controller has is the ability to add energy to the pendulum - which is akin to being able to move between locations on the plot. However, the graph doesn't suggest anything about the results of any particular move by the controller, so (even using an extended version of the plot, dealing with upright target positions) this doesn't really a way to solve for the controller's actions. What the plot shows is how complex the behaviour of a double pendulum is : small changes can result in wildly different outcomes, even though it's deterministic.
- brown9-2 16y agowithin 10 (green), within 100 (red), 1000 (purple) or 10000 (blue) What are the units being discussed here - "within 10" of what?
- JonnieCache 16y agoon the wiki page it says "oscillations"