Timeline for Unpredictability, per definitions of chaotic behavior
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 29, 2018 at 20:00 | comment | added | S. McGrew | I will pose a new question to address the questions that your comments have evoked at this end-- after I make some progress toward understanding Lyapunov exponents. | |
| Oct 29, 2018 at 17:28 | comment | added | Wrzlprmft | Note that the example of the moon just serves for illustration, not as proof. All real systems are inevitably coupled to chaotic ones, the question is just on what time and amplitude the chaos becomes visible. Also, for sufficiently high demands of a proof, you cannot show that any real system is chaotic, of course. But then again, that applies to experimental proofs of anything. | |
| Oct 29, 2018 at 15:37 | comment | added | S. McGrew | However: we are able to predict weather whose chaotic behavior is governed by nonlinear PDEs; it's just that the accuracy of our forecasts falls apart after a few days or weeks (rather than a few centuries as in the case of eclipses). The timescale of accurate predictability given a finite set of measurements doesn't seem like a good way to distinguish chaotic from non-chaotic behavior. It seems that no finite measurement of a black-box system could really determine whether the system is chaotic or not. | |
| Oct 29, 2018 at 15:19 | comment | added | S. McGrew | That answer is helpful! | |
| Oct 29, 2018 at 6:07 | history | answered | Wrzlprmft | CC BY-SA 4.0 |