A HAMILTON–JACOBI THEORY FOR SINGULAR LAGRANGIAN SYSTEMS IN THE SKINNER AND RUSK SETTING

DOI10.1142/S0219887812500740zbMath1262.49035arXiv1205.0168OpenAlexW2963607937MaRDI QIDQ4917296

David Martín de Diego, Manuel de León, Miguel Vaquero

Publication date: 29 April 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.0168

zbMATH Keywords

Hamilton-Jacobi theorypresymplectic constraint algorithm

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Hamilton-Jacobi equations in mechanics (70H20) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Hamilton-Jacobi theories (49L99)

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Cites Work

• Unnamed Item
• Linear almost Poisson structures and Hamilton-Jacobi equation. Applications to nonholonomic mechanics
• Dirac structures in Lagrangian mechanics. I: Implicit Lagrangian systems
• On the Hamilton-Jacobi equation for second-class constrained systems.
• Hamilton–Jacobi theory for degenerate Lagrangian systems with holonomic and nonholonomic constraints
• THE HAMILTON–JACOBI FORMALISM FOR HIGHER-ORDER FIELD THEORIES
• Generalized Hamiltonian dynamics. I. Formulation on T*Q⊕T Q
• Generalized Hamiltonian dynamics. II. Gauge transformations
• GEOMETRIC HAMILTON–JACOBI THEORY
• GEOMETRIC HAMILTON–JACOBI THEORY FOR NONHOLONOMIC DYNAMICAL SYSTEMS
• Presymplectic manifolds and the Dirac–Bergmann theory of constraints
• A constraint algorithm for singular Lagrangians subjected to nonholonomic constraints