Ara es mostren els items 1-20 de 54

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

    Kiesenhofer, Anna; Miranda Galcerán, Eva; Scott, Geoffrey (2015-02)
    Report de recerca
    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 [LMV11] for general Poisson manifolds in this setting. As an application, we ...
  • 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 ...
  • An invitation to singular symplectic geometry 

    Miranda Galcerán, Eva; Delshams Valdés, Amadeu; Planas Bahí, Arnau; Oms, Cedric; Dempsey Bradell, Roisin Mary (2017)
    Report de recerca
    Accés obert
    In this paper we analyze in detail a collection of motivating examples to consider bm- symplectic forms and folded-type symplectic structures. In particular, we provide models in Celestial Mechanics for every bm-symplectic ...
  • An invitation to singular symplectic geometry 

    Miranda Galcerán, Eva; Delshams Valdés, Amadeu; Dempsey Bradell, Roisin Mary; Oms, Cedric; Planas Bahí, Arnau (2017)
    Article
    Accés obert
    In this paper we analyze in detail a collection of motivating examples to consider bm-symplectic forms and folded-type symplectic structures. In particular, we provide models in Celestial Mechanics for every bm-symplectic ...
  • A normal form theorem for integrable systems on contact manifolds 

    Miranda Galcerán, Eva (2005)
    Article
    Accés obert
    We present a normal form theorem for singular integrable systems on contact manifolds
  • A note on symplectic and Poisson linearization of semisimple Lie algebra actions 

    Miranda Galcerán, Eva (2015-03)
    Report de recerca
    Accés obert
    In this note we prove that an analytic symplectic action of a semisimple Lie algebra can be locally linearized in Darboux coordinates. This result yields simultaneous analytic linearization for Hamiltonian vector fields ...
  • A note on the symplectic topology of b-manifolds 

    Miranda Galcerán, Eva; Martinez Torres, David; Frejlich, Pedro (2017)
    Article
    Accés obert
    Poisson manifold (M2n; ) is b-symplectic if Vn is transverse to the zero section. In this paper we apply techniques native to Symplectic Topology to address questions pertaining to b-symplectic manifolds. We pro- vide ...
  • A Poincaré lemma in geometric quantisation 

    Miranda Galcerán, Eva; Solha, Romero (American Institute of Mathematical Sciences, 2013-12)
    Article
    Accés obert
    This article presents a Poincar e lemma for the Kostant complex, used to compute geometric quantisation, when the polarisation is given by a Lagrangian foliation de ned by an integrable system with nondegenerate singularities.
  • Classification of b^m-Nambu structures of top degree 

    Miranda Galcerán, Eva; Planas Bahí, Arnau (2018-01)
    Article
    Accés obert
    We obtain sufficient conditions for the existence and uniqueness of a positive compact almost automorphic solution to a logistic equation with discrete and continuous delay. Moreover, we provide a counterexample to some ...
  • Codimension one symplectic foliations and regular Poisson manifolds 

    Guillemin, Victor; Miranda Galcerán, Eva; Pires, Ana Rita (2010)
    Report de recerca
    Accés obert
    In this short note we give a complete characterization of a certain class of compact corank one Poisson manifolds, those equipped with a closed one-form defining the symplectic foliation and a closed two-form extending ...
  • Contact structures with singularities 

    Miranda Galcerán, Eva; Oms, Cédric (2018-06-15)
    Report de recerca
    Accés obert
    We study singular contact structures, which are tangent to a given smooth hypersurface Z and satisfy certain transversality conditions. These singular contact structures are determined by the kernel of non-smooth differential ...
  • Cotangent models of integrable systems 

    Miranda Galcerán, Eva; Kiesenhofer, Anna (2016-07)
    Article
    Accés obert
    We associate cotangent models to a neighbourhood of a Liouville torus in symplectic and Poisson manifolds focusing on b-Poisson/b-symplectic manifolds. The semilocal equivalence with such models uses the corresponding ...
  • Coupling symmetries with Poisson structures 

    Laurent-Gengoux, Camille; Miranda Galcerán, Eva (2012-10-30)
    Report de recerca
    Accés restringit per decisió de l'autor
    In this paper we study normal forms problems for integrable systems on Poisson manifolds in the presence of additional symmetries. The symmetries that we consider are encoded in actions of compact Lie groups. The ...
  • Desingularizing b^m-symplectic structures 

    Miranda Galcerán, Eva; Guillemin, Victor; Weitsman, Jonathan (2017)
    Article
    Accés obert
    A 2n-dimensional Poisson manifold (M; ) is said to be bm-symplectic if it is symplectic on the complement of a hypersurface Z and has a simple Darboux canonical form at points of Z which we will describe below. In this ...
  • Equivariant classification of bm-symplectic surfaces 

    Miranda Galcerán, Eva; Planas Bahí, Arnau (Springer, 2018-07-24)
    Article
    Accés obert
    Inspired by Arnold’s classification of local Poisson structures [1] in the plane using the hierarchy of singularities of smooth functions, we consider the problem of global classification of Poisson structures on surfaces. ...
  • Examples of integrable and non-integrable systems on singular symplectic manifolds 

    Miranda Galcerán, Eva; Delshams Valdés, Amadeu; Kiesenhoferb, Anna (2016)
    Article
    Accés obert
    We present a collection of examples borrowed from celestial mechanics and projective dynamics. In these examples symplectic structures with singularities arise naturally from regularization transformations, Appell’s ...
  • 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 ...
  • From b-Poisson manifolds to symplectic mapping tori and back 

    Miranda Galcerán, Eva; Guillemin, Victor; Pissarra Pires, Ana Rita (2012)
    Comunicació de congrés
    Accés obert
  • Geometric Quantization of real polarizations via sheaves 

    Miranda Galcerán, Eva; Presas, Francisco (2015)
    Article
    Accés obert
    In this article we develop tools to compute the Geometric Quantization of a symplectic manifold with respect to a regular In this article we develop tools to compute the Geometric Quantization of a symplectic manifold with ...
  • Geometric Quantization of real polarizations via sheaves 

    Miranda Galcerán, Eva; Presas, Francisco (2013-01)
    Report de recerca
    Accés obert
    In this article we develop tools to compute the Geometric Quantization of a symplectic manifold with respect to a regular Lagrangian foliation via sheaf cohomology. The starting point is the definition of representation ...