Dirac structures, nonholonomic systems and reduction

DOI10.1016/S0034-4877(12)60016-0zbMath1247.53096arXiv0806.1261MaRDI QIDQ441278

Madeleine Jotz Lean, Tudor S. Ratiu

Publication date: 21 August 2012

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

Full work available at URL: https://arxiv.org/abs/0806.1261

zbMATH Keywords

symmetry reductionmomentum mapnonholonomic mechanicsDirac structure

Mathematics Subject Classification ID

Related Items (11)

Dorfman connections and Courant algebroids ⋮ Conservation of energy and momenta in nonholonomic systems with affine constraints ⋮ Invariant frames for vector bundles and applications ⋮ Conservative replicator and Lotka-Volterra equations in the context of Dirac\(\backslash\)big-isotropic structures ⋮ Moving energies as first integrals of nonholonomic systems with affine constraints ⋮ Singular reduction of Dirac structures ⋮ Gauge momenta as Casimir functions of nonholonomic systems ⋮ Induced Dirac structures on isotropy-type manifolds ⋮ Gauge transformations, twisted Poisson brackets and Hamiltonization of nonholonomic systems ⋮ Pseudo-Dirac structures ⋮ A geometric characterization of certain first integrals for nonholonomic systems with symmetries

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