Ara es mostren els items 21-40 de 55

    • Integrability and non-integrability of periodic non-autonomous Lyness recurrences 

      Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor (2013-12-01)
      Article
      Accés obert
      This paper studies non-autonomous Lyness-type recurrences of the form x n+2 = (a n + x n+1)/x n , where {a n } is a k-periodic sequence of positive numbers with primitive period k. We show that for the cases k {1, 2, 3, ...
    • Integrability and non-integrability of periodic non-autonomous Lyness recurrences (revised and enlarged version) 

      Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor (2011-12-22)
      Altres
      Accés obert
      This paper studies non-autonomous Lyness type recurrences of the form xn+2 = (an+xn+1)=xn, where fang is a k-periodic sequence of positive numbers with primitive period k. We show that for the cases k 2 f1; 2; 3; 6g the ...
    • Limit cycles and Lie symmetries 

      Freire, Emilio; Gasull Embid, Armengol; Guillamon Grabolosa, Antoni (2005)
      Article
      Accés obert
      Given a planar vector field U which generates the Lie symmetry of some other vector field X, we prove a new criterion to control the stability of the periodic orbits of U. The problem is linked to a classical problem ...
    • Limit cycles for generalized Abel equations 

      Gasull Embid, Armengol; Guillamon Grabolosa, Antoni (2005)
      Article
      Accés obert
      This paper deals with the problem of finding upper bounds on the number of periodic solutions of a class of one-dimensional non-autonomous differential equations: those with the right-hand sides being polynomials of ...
    • Limit cycles for piecewise linear differential systems via Poincaré–Miranda theorem 

      Gasull Embid, Armengol; Mañosa Fernández, Víctor (Birkhäuser, 2019)
      Capítol de llibre
      Accés restringit per política de l'editorial
      In Gasull and Mañosa (Periodic orbits of discrete and continuous dynamical systems via Poincaré–Miranda theorem, Preprint 2018 Ref [2]), we develop an effective procedure to prove the existence, determine the number, and ...
    • Non autonomous 2-periodic Gumovski-Mira difference equations 

      Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor (2011-06-01)
      Report de recerca
      Accés obert
      We consider two types of non-autonomous 2-periodic Gumovski-Mira difference equations. We show that while the corresponding autonomous recurrences are conjugated, the behavior of the sequences generated by the 2-periodic ...
    • Non-autonomous two periodic Gumovski-Mira difference equations 

      Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor (2012-12)
      Article
      Accés obert
      We consider two types of nonautonomous two-periodic Gumovski–Mira difference equations. We show that while the corresponding autonomous recurrences are conjugated, the behavior of the sequences generated by the two-periodic ...
    • Non-integrability of measure preserving maps via Lie symmetries 

      Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor (2015-03-18)
      Report de recerca
      Accés obert
      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 ...
    • Non-integrability of measure preserving maps via Lie symmetries 

      Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor (2015-11-15)
      Article
      Accés obert
      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 ...
    • On 2- and 3-periodic Lyness difference equations 

      Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor (2011-06-09)
      Article
      Accés obert
      We describe the sequences {xn}n given by the non-autonomous second-order Lyness difference equations xnþ2 ¼ ðan þ xnþ1Þ=xn, where {an}n is either a 2-periodic or a 3- periodic sequence of positive values and the initial ...
    • On Poncelet's maps 

      Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor (2010-08-08)
      Article
      Accés obert
      Given two ellipses, one surrounding the other one, Poncelet introduced a map P from the exterior one to itself by using the tangent lines to the interior ellipse. This procedure can be extended to any two smooth, nested ...
    • On some rational piecewise linear rotations 

      Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor; Mañosas, Francesc (Taylor & Francis Group, 2023-09-26)
      Article
      Accés restringit per política de l'editorial
      We study the dynamics of the piecewise planar rotations F¿(z)=¿(z-H(z)), with z¿C , H(z)=1 if Im(z)=0, H(z)=-1 if Im(z)<0, and ¿=eia¿C , being a a rational multiple of p. Our main results establish the dynamics in the so ...
    • On the Chebyshev property for a new family of functions 

      Lázaro Ochoa, José Tomás; Gasull Embid, Armengol; Torregrosa, Joan (2012-03)
      Article
      Accés obert
    • On two and three periodic Lyness difference equations 

      Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor (2009-12-26)
      Report de recerca
      Accés obert
      We describe the sequences {x_n}_n given by the non-autonomous second order Lyness difference equations x_{n+2}=(a_n+x_{n+1})/x_n, where {a_n}_n is either a 2-periodic or a 3-periodic sequence of positive values and the ...
    • Parrondo's dynamic paradox for the stability of non-hyperbolic fixed points 

      Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor (2018-02)
      Article
      Accés obert
      We show that for periodic non-autonomous discrete dynamical systems, even when a common fixed point for each of the autonomous associated dynamical systems is repeller, this fixed point can became a local attractor for ...
    • Parrondo's dynamic paradox for the stability of non-hyperbolic fixed points 

      Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor (2017-01-20)
      Working paper
      Accés obert
      We show that for periodic non-autonomous discrete dynamical systems, even when a common fixed point for each of the autonomous associated dynamical systems is repeller, this fixed point can became a local attractor for the ...
    • Period function for perturbed isochronous centres 

      Freire, Emilio; Gasull Embid, Armengol; Guillamon Grabolosa, Antoni (2001)
      Article
      Accés obert
    • Periodic orbits of discrete and continuous dynamical systems via Poincaré-Miranda theorem 

      Gasull Embid, Armengol; Mañosa Fernández, Víctor (2020-02)
      Article
      Accés obert
      We present a systematic methodology to determine and locate analytically isolated periodic points of discrete and continuous dynamical systems with algebraic nature. We apply this method to a wide range of examples, including ...
    • Periodic orbits of discrete and continuous dynamical systems via Poincaré-Miranda theorem 

      Gasull Embid, Armengol; Mañosa Fernández, Víctor (2018-09-17)
      Report de recerca
      Accés obert
      We present a systematic methodology to determine and locate analytically isolated periodic points of discrete and continuous dynamical systems with algebraic nature. We apply this method to a wide range of examples, including ...
    • Periodic points of a Landen transformation 

      Gasull Embid, Armengol; Llorens, Mireia; Mañosa Fernández, Víctor (2018-01-12)
      Report de recerca
      Accés obert
      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 ...