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.
A new geometrical look at Ostrogradsky’s procedure
Enrico Massa;Stefano Vignolo;Roberto Cianci;Sante Carloni
2018
Abstract
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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