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arXiv · 1310.1071

Unified formalism for the generalized kth-order Hamilton-Jacobi problem

Leonardo Colombo·Manuel de León·Pedro D. Prieto-Martínez·Narciso Román-Roy
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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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Leonardo Colombo, Manuel de León, Pedro D. Prieto-Martínez, Narciso Román-Roy. 2014-05-19. Unified formalism for the generalized kth-order Hamilton-Jacobi problem. https://doi.org/10.1142/s0219887814600378

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