Geometric Hamilton-Jacobi theory for higher-order autonomous systems

Leonardo Colombo; Manuel de Le\'on; Narciso Rom\'an-Roy; Pedro Daniel Prieto-Mart\'inez

arxiv: 1309.2166 · v2 · pith:HKKYPH2Bnew · submitted 2013-09-09 · 🧮 math-ph · math.MP

Geometric Hamilton-Jacobi theory for higher-order autonomous systems

Leonardo Colombo , Manuel de Le\'on , Pedro Daniel Prieto-Mart\'inez , Narciso Rom\'an-Roy This is my paper

classification 🧮 math-ph math.MP

keywords hamilton-jacobitheoryformalismsgeometrichigher-ordersystemsambientanalyze

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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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Geometric Hamilton-Jacobi theory for higher-order autonomous systems

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