Timeline for Rigorous treatment of Ostrogradsky's instability theorem?
Current License: CC BY-SA 4.0
14 events
| when toggle format | what | by | license | comment | |
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| S Jul 27 at 21:23 | history | bounty ended | user479223 | ||
| S Jul 27 at 21:23 | history | notice removed | user479223 | ||
| Jul 20 at 21:31 | answer | added | Carlo Beenakker | timeline score: 6 | |
| Jul 20 at 20:44 | comment | added | Carlo Beenakker | It might be helpful if you could tell us in what respect rigor is missing in the usual proof of the fact that the Hamiltonian corresponding to a Lagrangian $L(q,\dot{q},\ddot{q})$ is linear in $\partial L/\partial \ddot{q}$ and hence is unbounded, for example as given on page 1 of arXiv:2001.02483. Note that this not yet refer to the appearance of an instability. That goes beyond Ostrogradsky, is not part of the theorem, and is not true in general (counterexamples are in arXiv:2403.19777). | |
| Jul 20 at 20:37 | comment | added | algori | I've added the "classical mechanics" tag. People who work on it might know the answer. | |
| Jul 20 at 20:36 | history | edited | algori |
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| S Jul 20 at 20:04 | history | bounty started | user479223 | ||
| S Jul 20 at 20:04 | history | notice added | user479223 | Authoritative reference needed | |
| S Nov 26, 2023 at 2:01 | history | bounty ended | CommunityBot | ||
| S Nov 26, 2023 at 2:01 | history | notice removed | CommunityBot | ||
| S Nov 18, 2023 at 0:07 | history | bounty started | user479223 | ||
| S Nov 18, 2023 at 0:07 | history | notice added | user479223 | Authoritative reference needed | |
| Nov 10, 2023 at 22:45 | history | edited | YCor | CC BY-SA 4.0 |
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| Nov 10, 2023 at 22:30 | history | asked | user479223 | CC BY-SA 4.0 |