Ostrogradsky instability
id:
ostrogradsky-instability-248-16247436
title:
Ostrogradsky instability
text:
In applied mathematics, the Ostrogradsky instability is a feature of some solutions of theories having equations of motion with more than two time derivatives. It is suggested by a theorem of Mikhail Ostrogradsky in classical mechanics according to which a non-degenerate Lagrangian dependent on time derivatives higher than the first corresponds to a Hamiltonian unbounded from below. As usual, the Hamiltonian is associated with the Lagrangian via a Legendre transform. The Ostrogradsky instability
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Ostrogradsky_instability
date created:
date modified:
2023-10-23T08:03:08Z
main entity:
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13
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