A new presymplectic geometrical framework for time-dependent Lagrangian systems: the constraint algorithm and the second-order differential equation problem

DOI10.1088/0305-4470/33/28/314zbMath0972.37046OpenAlexW2038370569WikidataQ115293428 ScholiaQ115293428MaRDI QIDQ4520707

Stefano Vignolo

Publication date: 13 December 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/33/28/314

zbMATH Keywords

Hamiltonian systemsLagrangian systemsgaugeconstraint algorithmpresymplectic

Mathematics Subject Classification ID

Constrained dynamics, Dirac's theory of constraints (70H45) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrange's equations (70H03) Nonholonomic dynamical systems (37J60)

Related Items (6)

Legendre transformation and analytical mechanics: A geometric approach ⋮ Constraint algorithm for singular field theories in the \(k\)-cosymplectic framework ⋮ GEOMETRIC ASPECTS OF TIME-DEPENDENT SINGULAR DIFFERENTIAL EQUATIONS ⋮ PRE-MULTISYMPLECTIC CONSTRAINT ALGORITHM FOR FIELD THEORIES ⋮ AV-differential geometry: Poisson and Jacobi structures ⋮ CONSTRAINT ALGORITHM FOR k-PRESYMPLECTIC HAMILTONIAN SYSTEMS: APPLICATION TO SINGULAR FIELD THEORIES

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