Some topics concerning the theory of singular dynamical systems
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...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2006 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/400 |
| Acceso en línea: | https://hdl.handle.net/2117/400 |
| Access Level: | acceso abierto |
| Palabra clave: | 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] |
| Sumario: | 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. |
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