Browsing by Author "Oms, Cedric"Més informacióMés informació

Now showing items 1-9 of 9

    • An invitation to singular symplectic geometry 

      Miranda Galcerán, Eva; Delshams Valdés, Amadeu; Planas Bahí, Arnau; Oms, Cedric; Dempsey Bradell, Roisin Mary (2017)
      Research report
      Open Access
      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 (2019)
      Article
      Open Access
      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 ...

    • On the singular Weinstein conjecture and the existence of escape orbits for $b$-Beltrami fields 

      Miranda Galcerán, Eva; Oms, Cedric; Peralta-Salas, Daniel (2020-10-02)
      Research report
      Open Access
      Motivated by Poincaré's orbits going to infinity in the (restricted) three-body problem (see \cite{poincare} and \cite{chenciner}), we investigate the generic existence of heteroclinic-like orbits in a neighbourhood of the ...

    • On the singular Weinstein conjecture and the existence of escape orbits for b-Beltrami fields 

      Miranda Galcerán, Eva; Oms, Cedric; Peralta-Salas, Daniel (2021-07-01)
      Article
      Open Access
      Motivated by Poincaré’s orbits going to infinity in the (restricted) three-body problem (see [26] and [6]), we investigate the generic existence of heteroclinic-like orbits in a neighbourhood of the critical set of a ...

    • The Arnold conjecture for singular symplectic manifolds 

      Brugués Mora, Joaquin; Miranda Galcerán, Eva; Oms, Cedric (2022-12-02)
      Research report
      Open Access
      In this article, we study the Hamiltonian dynamics on singular symplectic manifolds and prove the Arnold conjecture for a large class of bm-symplectic manifolds. More precisely, we prove a lower bound on the number 1-periodic ...

    • The Arnold conjecture for singular symplectic manifolds 

      Brugués Mora, Joaquim; Miranda Galcerán, Eva; Oms, Cedric (Springer, 2024-04-18)
      Article
      Open Access
      In this article, we study the Hamiltonian dynamics on singular symplectic manifolds and prove the Arnold conjecture for a large class of bm-symplectic manifolds. Novel techniques are introduced to associate smooth symplectic ...

    • The geometry and topology of contact structures with singularities 

      Miranda Galcerán, Eva; Oms, Cedric (2020-05-20)
      Research report
      Open Access
      In this article we introduce and analyze in detail singular contact structures, with an emphasis on $b^m$-contact structures, which are tangent to a given smooth hypersurface $Z$ and satisfy certain transversality conditions. ...

    • The singular Weinstein conjecture 

      Miranda Galcerán, Eva; Oms, Cedric (2020-06-04)
      Research report
      Open Access
      In this article, we investigate Reeb dynamics on $b^m$-contact manifolds, previously introduced in \cite{MO}, which are contact away from a hypersurface $Z$ but satisfy certain transversality conditions on $Z$. The study ...

    • The singular Weinstein conjecture 

      Miranda Galcerán, Eva; Oms, Cedric (2021-07-23)
      Article
      Open Access
      In this article, we investigate Reeb dynamics on bm-contact manifolds, previously introduced in [37], which are contact away from a hypersurface Zbut satisfy certain transversality conditions on Z. The study of these contact ...