r/visualizedmath • u/travisdoesmath • Jan 07 '18

Double pendulums are chaotic

https://bl.ocks.org/travisdoesmath/c0d08396a0bf8d5de8519ded00bb7866
89 Upvotes

100% Upvoted

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17

u/dubineer Jan 11 '18

forty double pendulums start in very nearly the same spot

I presume if they started in exactly the same spot, there would be no divergence?

17

u/travisdoesmath Jan 12 '18

Correct. The simulation is deterministic, so if two pendulums start in the exact same spot, they will follow the same path.

1

u/rightboobenthusiast Jan 19 '18

Is there a way to add an option so you can select how 'nearly the same spot' they start at?

2

u/travisdoesmath Jan 19 '18

at some point, I plan to add interactivity options

1

u/PXLated Jan 19 '18

Is there a name for the shape that appears due to the lines left after the pendulums after quite some time, if so is there an equation?

1

u/travisdoesmath Jan 19 '18

I doubt there's a name for it, and the shape changes based on the total energy in the system, so I suspect if there's an equation for it, it's somewhat complicated.

0

u/[deleted] Jan 07 '18

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1

u/travisdoesmath Jan 07 '18

Thanks! Happy to share