Recent Submissions

  • Contact structures with singularities 

    Miranda Galcerán, Eva; Oms, Cédric (2018-06-15)
    External research report
    Open Access
    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 ...
  • TEC Parametric Model validation and Approach to GNSS operational conditions 

    González Casado, Guillermo (2017-05-10)
    External research report
    Open Access
  • A route to chaos in the Boros-Moll map 

    Gardini, Laura; Mañosa Fernández, Víctor; Sushko, Iryna (2018-04-18)
    External research report
    Open Access
    The Boros-Moll map appears as a subsystem of a Landen transformation associated to certain rational integrals and its dynamics is related to the convergence of them. In the paper, we study the dynamics of a one-parameter ...
  • Open problems, questions, and challenges in finite-dimensional integrable systems 

    Miranda Galcerán, Eva; Bolsinov, Alexey; Matveev, Vladimir; Tabachnikov, Sergei (2018-04-11)
    External research report
    Open Access
    The paper surveys open problems and questions related to different aspects of integrable systems with finitely many degrees of freedom. Many of the open problems were suggested by the participants of the conference ...
  • Report on the EGNSS competition after Y2 

    Sanz Subirana, Jaume; Juan Zornoza, José Miguel; Alonso Alonso, María Teresa; Povero, Gabriella (2017-05-21)
    External research report
    Restricted access - author's decision
  • The geometry of E-manifolds 

    Miranda Galcerán, Eva (2018-02-09)
    External research report
    Open Access
    Motivated by the study of symplectic Lie algebroids, we study a describe a type of algebroid (called an E-tangent bundle) which is particularly well-suited to study of singular differential forms and their cohomology. ...
  • Periodic points of a Landen transformation 

    Gasull Embid, Armengol; Llorens, Mireia; Mañosa Fernández, Víctor (2018-01-12)
    External research report
    Open Access
    We prove the existence of 3-periodic orbits in a dynamical system associated to a Landen transformation previously studied by Boros, Chamberland and Moll, disproving a conjecture on the dynamics of this planar map introduced ...
  • Some manifolds of periodic orbits in the restricted three body problem 

    Gómez Muntané, Gerard; Noguera Batlle, Miquel (1984)
    External research report
    Open Access
    In the present paper we give some numerical results about natural families of periodic orbits, which emanate from limiting orbits around equilateral equilibrium points of the Restricted Three Body Problem, when the mass ...
  • Locating domination in bipartite graphs and their complements 

    Hernando Martín, María del Carmen; Mora Giné, Mercè; Pelayo Melero, Ignacio Manuel (2017-11-03)
    External research report
    Open Access
    A set S of vertices of a graph G is distinguishing if the sets of neighbors in S for every pair of vertices not in S are distinct. A locating-dominating set of G is a dominating distinguishing set. The location-domination ...
  • Metric-locating-dominating partitions in graphs 

    Hernando Martín, María del Carmen; Mora Giné, Mercè; Pelayo Melero, Ignacio Manuel (2017-11-03)
    External research report
    Open Access
    A partition ¿ = { S 1 ,...,S k } of the vertex set of a connected graph G is a metric-locating partition of G if for every pair of vertices u,v belonging to the same part S i , d ( u,S j ) 6 = d ( v,S j ), for some other ...
  • Dominating 2- broadcast in graphs: complexity, bounds and extremal graphs 

    Hernando Martín, María del Carmen; Mora Giné, Mercè; Pelayo Melero, Ignacio Manuel; Cáceres, José; Puertas, M. Luz (2017-10-16)
    External research report
    Open Access
    Limited dominating broadcasts were proposed as a variant of dominating broadcasts, where the broadcast function is upper bounded. As a natural extension of domination, we consider dominating 2-broadcasts along with the ...
  • Bifurcation of 2-periodic orbits from non-hyperbolic fixed points 

    Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor (2017-07-21)
    External research report
    Open Access
    We introduce the concept of 2-cyclicity for families of one-dimensional maps with a non-hyperbolic fixed point by analogy to the cyclicity for families of planar vector fields with a weak focus. This new concept is useful ...

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