Exploració per tema "Symplectic manifolds"

Ara es mostren els items 1-6 de 6

    • A summary on symmetries and conserved quantities of autonomous Hamiltonian systems 

      Román Roy, Narciso (AMER INST MATHEMATICAL SCIENCES-AIMS, 2020)
      Article
      Accés obert
      A complete geometric classification of symmetries of autonomous Hamiltonian systems is established; explaining how to obtain their associated conserved quantities in all cases. In particular, first we review well-known ...

    • Action-angle variables and a KAM theorem for b-Poisson manifolds 

      Miranda Galcerán, Eva; Kiesenhofer, Anna; Scott, Geoffrey (2016-01-01)
      Article
      Accés obert
      In this article we prove an action-angle theorem for b-integrable systems on b-Poisson manifolds improving the action-angle theorem contained in [14] for general Poisson manifolds in this setting. As an application, we ...

    • Examples of integrable and non-integrable systems on singular symplectic manifolds 

      Delshams Valdés, Amadeu; Miranda Galcerán, Eva; Kiesenhofer, Anna (2016-12)
      Report de recerca
      Accés obert
      We present a collection of examples borrowed from celes- tial mechanics and projective dynamics. In these examples symplectic structures with singularities arise naturally from regularization trans- formations, Appell's ...

    • Generic behaviour of asymptotically holomorphic Lefschetz pencils 

      Amorós Torrent, Jaume; Muñoz, Vicente; Presas, Francisco (World Scientific, 2005)
      Article
      Accés obert
      We prove that the vanishing spheres of the Lefschetz pencils constructed by Donaldson on symplectic manifolds of any dimension are conjugated under the action of the symplectomorphism group of the fiber. More precisely, ...

    • Singular cotangent models in fluids with dissipation 

      Coquinot, Baptiste; Mir Garcia, Pau; Miranda Galcerán, Eva (2023-04)
      Article
      Accés obert
      In this article we analyze several mathematical models with singularities where the classical cotangent model is replaced by a -cotangent model. We provide physical interpretations of the singular symplectic geometry ...

    • Unified formalism for non-autonomous mechanical systems 

      Barbero Liñán, María; Echeverría Enríquez, Arturo; Martín de Diego, David; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (2008-02-29)
      Article
      Accés obert
      We present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalisms of regular and non-regular time-dependent mechanical systems, which is based on the approach of Skinner and Rusk ...