Some topics concerning the theory of singular dynamical systems

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/400

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV
dc.contributor	Universitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions
dc.contributor.author	Román Roy, Narciso
dc.date	2006-03-01
dc.identifier.uri	http://hdl.handle.net/2117/400
dc.language.iso	eng
dc.relation	MTM2005-04947
dc.rights	Attribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subject	Symplectic geometry
dc.subject	Lagrangian system
dc.subject	Hamiltonian system
dc.subject	Contact transformations
dc.subject	Presymplectic manifolds
dc.subject	Singular systems
dc.subject	Canonical transformations
dc.subject	Lagrangian formalism
dc.subject	Hamiltonian formalism
dc.subject	Hamilton, Sistemes de
dc.subject	Varietats simplèctiques
dc.subject	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]
dc.subject	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]
dc.subject	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]
dc.title	Some topics concerning the theory of singular dynamical systems
dc.type	info:eu-repo/semantics/article
dc.description.abstract	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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