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

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

arxiv: 1310.1071 · v2 · pith:GZ7Y2G7Gnew · submitted 2013-10-03 · 🧮 math-ph · math.MP

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

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

classification 🧮 math-ph math.MP

keywords hamilton-jacobiformalismgeometrichigher-ordersystemstheoryunifiedautonomous

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

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