Singular reduction of implicit Hamiltonian systems

DOI10.1016/S0034-4877(04)90013-4zbMath1065.37040arXivmath/0303022OpenAlexW2088858694MaRDI QIDQ1769820

Guido Blankenstein, Tudor S. Ratiu

Publication date: 30 March 2005

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0303022

zbMATH Keywords

singular reductionsingular dynamicsimplicit Hamiltonian systems

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Momentum maps; symplectic reduction (53D20)

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Implicit Lagrange-Routh equations and Dirac reduction, Dirac structures in Lagrangian mechanics. I: Implicit Lagrangian systems, Dirac structures in Lagrangian mechanics. II: Variational structures, Symmetries in generalized Kähler geometry, Deformation of Dirac structures along isotropic subbundles, Pseudo-spectral methods for the spatial symplectic reduction of open systems of conservation laws, Invariant frames for vector bundles and applications, Dirac structures, nonholonomic systems and reduction, Reduction of Dirac structures and the Hamilton-Pontryagin principle, Singular reduction of Dirac structures, Reduction of generalized complex structures, Reduction of symmetries of Dirac structures, Induced Dirac structures on isotropy-type manifolds, Dirac Structures and the Legendre Transformation for Implicit Lagrangian and Hamiltonian Systems, An extension of the Dirac and Gotay-Nester theories of constraints for Dirac dynamical systems, Dimension reduction in recurrent networks by canonicalization, The Hamilton-Pontryagin principle and multi-Dirac structures for classical field theories

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