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Conversely, there are also extremely simple closed-form recurrence relations that exhibit chaotic behavior, e.g. the logistic map.
by MontyCarloHall 5y ago
Conversely, there are also extremely simple closed-form recurrence relations that exhibit chaotic behavior, e.g. the logistic map.
- phreeza 5y agoTrue but a recurrence relationship is not the same as a closed form solution. The differential equation for a three body problem is also very simple.
- MontyCarloHall 5y agoOf course. My point was just that you can evaluate a recurrence relation exactly (i.e. with zero numerical error) and still get chaotic behavior. OP’s mistaken point was that the three body problem’s chaos arises solely from numerical error during simulation, which is untrue.
- acjohnson55 5y agoWould a linear-feedback shift register be an example of a recurrence relation that exhibits chaotic behavior?