Recent Submissions

  • Continua of periodic points for planar integrable rational maps. 

    Gasull Embid, Armengol; Llorens, Mireia; Mañosa Fernández, Víctor (2015-11-30)
    External research report
    Open Access
    We present three alternative methodologies to find continua of periodic points with a prescribed period for rational maps having rational first integrals. The first two have been already used for other authors and apply ...
  • Desigualtats matricials lineals amb valors complexos 

    Rubió Massegú, Josep; Palacios Quiñonero, Francisco; Rossell Garriga, Josep Maria (2015-07-12)
    External research report
    Open Access
    Sovint ens trobem davant de desigualtats matricials lineals (LMIs) on les matrius involucrades prenen valors complexos. Es ben conegut que tota LMI complexa es pot reduir a una LMI real. En aquest treball establim les ...
  • Non-integrability of measure preserving maps via Lie symmetries 

    Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor (2015-03-18)
    External research report
    Open Access
    We consider the problem of characterizing, for certain natural number m, the local C^m-non-integrability near elliptic fixed points of smooth planar measure preserving maps. Our criterion relates this non-integrability ...
  • Singular solutions for a class of traveling wave equations arising in hydrodynamics 

    Geyer, Anna; Mañosa Fernández, Víctor (2015-02-19)
    External research report
    Open Access
    We give an exhaustive characterization of singular weak solutions for ordinary differential equations of the form $\ddot{u}\,u + \frac{1}{2}\dot{u}^2 + F'(u) =0$, where $F$ is an analytic function. Our motivation stems ...
  • Lie symmetries of birational maps preserving genus 0 fibrations 

    Llorens, Mireia; Mañosa Fernández, Víctor (2015-02-13)
    External research report
    Open Access
    We prove that any planar birational integrable map, which preserves a fibration given by genus $0$ curves has a Lie symmetry and some associated invariant measures. The obtained results allow to study in a systematic ...
  • Periodic orbits of planar integrable birational maps 

    Gálvez Carrillo, Maria Immaculada; Mañosa Fernández, Víctor (2014-02-14)
    External research report
    Open Access
    A birational planar map F possessing a rational first integral preserves a foliation of the plane given by algebraic curves which, if F is not globally periodic, is given by a foliation of curves that have generically ...
  • Basin of attraction of triangular maps with applications 

    Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor (2013-07-25)
    External research report
    Open Access
    We consider some planar triangular maps. These maps preserve certain fibration of the plane. We assume that there exists an invariant attracting fiber and we study the limit dynamics of those points in the basin of attraction ...
  • Different approaches to the global periodicity problem 

    Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor; Mañosas, Francesc (2013-07-25)
    External research report
    Open Access
    t Let F be a real or complex n-dimensional map. It is said that F is globally periodic if there exists some p ∈ N + such that Fp(x) = x for all x, where F k = F ◦ F k−1, k ≥ 2. The minimal p satisfying this property is ...
  • On the set of periods of the 2-periodic Lyness’ Equation 

    Bastien, Guy; Mañosa Fernández, Víctor; Rogalski, Marc (2013-07-25)
    External research report
    Open Access
    We study the periodic solutions of the non–autonomous periodic Lyness’ recurrence un+2 = (an +un+1)=un, where fangn is a cycle with positive values a,b and with positive initial conditions. Among other methodological issues ...
  • Periodic orbits of planar integrable birational maps 

    Mañosa Fernández, Víctor (2013-09-03)
    External research report
    Open Access
    Conferència convidada al congrés NOMA'13.

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