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

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.

9pp. Revised version: Minor corrections done. Second part of our previous work arXiv:1309.2166. arXiv admin note: substantial text overlap with arXiv:1309.2166

References in corpus (2)

• Geometric Hamilton-Jacobi theory for higher-order autonomous systems
• The Hamilton-Jacobi Formalism for Higher Order Field Theories

Cited by in corpus (6)

• Reviewing the Geometric Hamilton-Jacobi Theory concerning Jacobi and Leibniz identities
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• Hamilton-Jacobi theory in multisymplectic classical field theories
• An overview of the Hamilton--Jacobi theory: the classical and geometrical approaches and some extensions and applications
• Reductions of Topologically Massive Gravity I: Hamiltonian Analysis of The Second Order Degenerate Lagrangians
• Reductions of Topologically Massive Gravity II: First Order Realizations of Second Order Lagrangians