A new geometrical look at Ostrogradsky procedure

Enrico Massa; Roberto Cianci; Sante Carloni; Stefano Vignolo

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A new geometrical look at Ostrogradsky procedure

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arxiv 1609.07388 v1 pith:EAOCNNSA submitted 2016-09-23 math-ph gr-qcmath.MP

Enrico Massa , Stefano Vignolo , Roberto Cianci , Sante Carloni This is my paper

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keywords ostrogradskycalculusconfigurationconstrainedderivativesdeterminedequationsevolution

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Making use of the modern techniques of non-holonomic geometry and constrained variational calculus, a revisitation of Ostrogradsky's Hamiltonian formulation of the evolution equations determined by a Lagrangian of order >= 2 in the derivatives of the configuration variables is presented.

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