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Some topics concerning the theory of singular dynamical systems
Román Roy, Narciso
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV; Universitat Politècnica de Catalunya. Geometria Diferencial, Sistemes Dinàmics i Aplicacions
Some subjects related to the geometric theory of singular dynamical systems are reviewed in this paper. In particular, the following two matters are considered: the theory of canonical transformations for presymplectic Hamiltonian systems, and the Lagrangian and Hamiltonian constraint algorithms and the time-evolution operator.
Symplectic geometry
Lagrangian system
Hamiltonian system
Contact transformations
Presymplectic manifolds
Singular systems
Canonical transformations
Lagrangian formalism
Hamiltonian formalism
Hamilton, Sistemes de
Varietats simplèctiques
Classificació AMS::37 Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-xx]::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems [See also 53Dxx, 70Fxx, 70Hxx]
Classificació AMS::53 Differential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx}::53D Symplectic geometry, contact geometry [See also 37Jxx, 70Gxx, 70Hxx]
Classificació AMS::70 Mechanics of particles and systems {For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82-xx}::70H Hamiltonian and Lagrangian mechanics [See also 37Jxx]
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