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Ostrogradski’s theorem's proof

  1. Jan 3, 2015 #1

    MathematicalPhysicist

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    Gold Member

    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.
     
  2. jcsd
  3. Jan 5, 2015 #2

    vanhees71

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    Where did you get the theorem from? I've never heard of it.
     
  4. Jan 5, 2015 #3

    MathematicalPhysicist

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