Geometric Hamilton-Jacobi theory for higher-order autonomous systems

Published 9 Sep 2013 in math-ph and math.MP | (1309.2166v2)

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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