A new geometrical look at Ostrogradsky procedure
classification
🧮 math-ph
gr-qcmath.MP
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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