Ostrogradski’s theorem's proof

  • #1
MathematicalPhysicist
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I am looking for a proof of the next theorem:

"If the higher order time derivative Lagrangian is non-degenerate, there is at least one linear instability in the Hamiltonian of this system."

Where Non-degeneracy means that the highest time derivative term can be expressed in terms of canonical variables.

P.S
I prefer a reference, as in a book or article.
 

Answers and Replies

  • #2
vanhees71
Science Advisor
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Where did you get the theorem from? I've never heard of it.
 
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