Exploració per tema "Classificació AMS::58 Global analysis, analysis on manifolds::58K Theory of singularities and catastrophe theory"

Ara es mostren els items 1-9 de 9

    • Dimension of the orbit of marked subspaces 

      Compta Creus, Albert; Ferrer Llop, Josep; Peña Carrera, Marta (2004)
      Article
      Accés obert
      Given a nilpotent endomorphism, we consider the manifold of invariant subspaces having a fixed Segre characteristic. In [Linear Algebra Appl., 332–334 (2001) 569], the implicit form of a miniversal deformation of an ...

    • Miniversal deformations of marked matrices 

      Compta Creus, Albert; Ferrer Llop, Josep; Puerta Sales, Ferran (2001)
      Article
      Accés obert
      Given the set of square matricesM⊂Mn+m(C) that keep the subspace W = Cnx{0} ⊂ Cn+m invariant, we obtain the implicit form of a miniversal deformation of a matrix a∈M, and we compute it explicitely when this matrix is ...

    • Normal-internal resonances in quasi-periodically forced oscillators: a conservative approach 

      Broer, H. W.; Hanssmann, Heinz; Jorba, Angel; Villanueva Castelltort, Jordi; Wagener, Florian (2003)
      Article
      Accés obert
      We perform a bifurcation analysis of normal–internal resonances in parametrised families of quasi–periodically forced Hamiltonian oscillators, for small forcing. The unforced system is a one degree of freedom oscillator, ...

    • On the geometry of quadratic maps of the plane 

      Delgado, Jorge; Garrido Serrano, José Luis; Romero, Neptalí; Rovella, Álvaro; Vilamajó Capdevila, Francesc (Editorial Board, 2013)
      Article
      Accés obert
      In this article we give a geometric classification of the set of quadratic maps of the plane. The fundamental step is the proof that the restriction of the map to the critica! set is injective, from which it follows that ...

    • Perturbation of quadrics 

      Clotet Juan, Josep; Magret Planas, Maria dels Dolors; Puerta Coll, Xavier (2000)
      Article
      Accés obert
      The aim of this paper is to study what happens when a slight perturbation affects the coefficients of a quadratic equation defining a variety (a quadric) in R^n. Structurally stable quadrics are those a small perturbation ...

    • Reduction to versal deformations of matrix pencils and matrix pairs with application to control theory 

      García Planas, María Isabel; Mailybaev, Alexei A. (2002)
      Article
      Accés obert
      Matrix pencils under the strict equivalence and matrix pairs under the state feedback equivalence are considered. It is known that a matrix pencil (or a matrix pair) smoothly dependent on parameters can be reduced locally ...

    • Simultaneous versal deformations of endomorphisms and invariant subspaces 

      Compta Creus, Albert; Helmke, Uwe; Peña Carrera, Marta; Puerta Coll, Xavier (2004)
      Article
      Accés obert
      We study the set M of pairs (f; V ), defined by an endomorphism f of Fn and a d- dimensional f–invariant subspace V . It is shown that this set is a smooth manifold that defines a vector bundle on the Grassmann manifold. ...

    • Versal deformations in orbit spaces 

      Puerta Sales, Ferran; Puerta Coll, Xavier; Tarragona Romero, Sonia (2003)
      Article
      Accés obert
      Given an orbit space $M/\Gamma$ and an equivalence relation defined in it by means of the action of a group $G$, we obtain a miniversal deformation of an orbit through a miniversal deformation in $M$ with regard to a ...

    • Versal deformations in orbit spaces of matrices 

      Puerta Sales, Ferran; Puerta Coll, Xavier; Tarragona Romero, Sonia (2002)
      Article
      Accés obert
      Given an orbit space of matrices $M/\Gamma$ and an equivalence relation defined in it by means of the action of a group $G$, we obtain a miniversal deformation of an orbit through a minivesal deformation in $M$ with regard ...