3 ms·
For example, the double pendulum: https://en.wikipedia.org/wiki/Double_pendulum https://en.wikipedia.org/wiki/Double_pendulum. That said, the phase space of a
by jayajay 10y ago
For example, the double pendulum: https://en.wikipedia.org/wiki/Double_pendulum https://en.wikipedia.org/wiki/Double_pendulum.
That said, the phase space of a double pendulum is bounded.
- duckingtest 10y agoIt's really funny that something as simple is impossible to predict over longer times, because you would need perfect information. Yet climate science is 'settled'.
- jayajay 10y agoTake an undamped double pendulum and divide the space up into 2 sections. Suppose you can only check which section the pendulum is every N seconds. Every time you check, you record the value, and over time you build up a sequence of K numbers: 1,0,1,0,0,1,1,1,1,0,0,1,0,... Suppose you know the exact initial state (dx/dt, x) of the pendulum. What bounds on K and T are required such that the sequence of numbers is asymptotically indistinguishable from a purely random sequence? So, because of a silly thought experiment, one might think there is very simple order to the apparent randomness. But, as Pauli would say, "it's not even wrong"...