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arXiv · 1309.2166

Geometric Hamilton-Jacobi theory for higher-order autonomous systems

Leonardo Colombo·Manuel de León·Pedro Daniel Prieto-Martínez·Narciso Román-Roy
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Abstract

The geometric framework for the Hamilton-Jacobi theory is used to study this theory in the ambient of higher-order mechanical systems, both in the Lagrangian and Hamiltonian formalisms. Thus, we state the corresponding Hamilton-Jacobi equations in these formalisms and apply our results to analyze some particular physical examples.

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Leonardo Colombo, Manuel de León, Pedro Daniel Prieto-Martínez, Narciso Román-Roy. 2014-05-19. Geometric Hamilton-Jacobi theory for higher-order autonomous systems. https://doi.org/10.1088/1751-8113%2F47%2F23%2F235203

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