Unified formalism for the generalized kth-order Hamilton-Jacobi problem (1310.1071v2)

Published 3 Oct 2013 in math-ph and math.MP

Abstract: The geometric formulation of the Hamilton-Jacobi theory enables us to generalize it to systems of higher-order ordinary differential equations. In this work we introduce the unified Lagrangian-Hamiltonian formalism for the geometric Hamilton-Jacobi theory on higher-order autonomous dynamical systems described by regular Lagrangian functions.

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