Noether (and Gauge) transformations for higher order singular lagrangians.
Xavier Gràcia, Josep M. Pons (1996)
Extracta Mathematicae
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Displaying similar documents to “Gauge-independent Hamiltonian reduction of constrained systems.”
Noether (and Gauge) transformations for higher order singular lagrangians.
Noether transformations with vanishing conserved quantity
Xavier Gràcia, Josep M. Pons (1994)
Annales de l'I.H.P. Physique théorique
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On symmetries and constants of motion in Hamiltonian systems with nonholonomic constraints
Charles-Michel Marle (2003)
Banach Center Publications
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Hamiltonian approaches of field theory.
Udrişte, Constantin, Teleman, Ana-Maria (2004)
International Journal of Mathematics and Mathematical Sciences
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Invariance of global solutions of the Hamilton-Jacobi equation
Ezequiel Maderna (2002)
Bulletin de la Société Mathématique de France
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We show that every global viscosity solution of the Hamilton-Jacobi equation associated with a convex and superlinear Hamiltonian on the cotangent bundle of a closed manifold is necessarily invariant under the identity component of the group of symmetries of the Hamiltonian (we prove that this group is a compact Lie group). In particular, every Lagrangian section invariant under the Hamiltonian flow is also invariant under this group.
GO++ : a modular lagrangian/eulerian software for Hamilton Jacobi equations of geometric optics type
Jean-David Benamou, Philippe Hoch (2002)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We describe both the classical lagrangian and the Eulerian methods for first order Hamilton–Jacobi equations of geometric optic type. We then explain the basic structure of the software and how new solvers/models can be added to it. A selection of numerical examples are presented.