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math-phApr 27, 2012
18
citations (OpenAlex)
authors
  • Manuel de León
  • Juan Carlos Marrero
  • David Martín de Diego
  • Miguel Vaquero
institutions
  • Consejo Superior de Investigaciones Científicas
  • Institute of Mathematical Sciences
  • Universidad Autónoma de Madrid
  • Universidad Carlos III de Madrid
  • Universidad Complutense de Madrid
  • Universidad de La Laguna
arXiv abstractPDF
paper

On the Hamilton-Jacobi Theory for Singular Lagrangian Systems

arXiv:1204.6217 · doi:10.1063/1.4796088

Abstract

We develop a Hamilton-Jacobi theory for singular lagrangian systems using the Gotay-Nester-Hinds constraint algorithm. The procedure works even if the system has secondary constraints.

36 pages

References in corpus (1)

  • A Geometric Hamilton-Jacobi Theory for Classical Field Theories

Cited by in corpus (9)

  • Hamilton-Jacobi theory and integrability for autonomous and non-autonomous contact systems
  • Reparametrization Invariance and Some of the Key Properties of Physical Systems
  • Structural aspects of Hamilton-Jacobi theory
  • A geometric Hamilton--Jacobi theory for a Nambu--Poisson structure
  • Geometric Hamilton-Jacobi theory for systems with external forces
  • Hamilton-Jacobi theory in multisymplectic classical field theories
  • A Hamilton-Jacobi theory for implicit differential systems
  • Hamilton-Jacobi theory for gauge field theories
  • A geometric Hamilton--Jacobi theory on a Nambu-Jacobi manifold
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