Ara es mostren els items 35-54 de 55

    • 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 ...
    • Periodic points, Lie symmetries and non-integrability of planar maps 

      Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor (2017-07-03)
      Presentació
      Accés obert
    • Persistence of periodic traveling waves and Abelian integrals 

      Gasull Embid, Armengol; Geyer, Anna; Mañosa Fernández, Víctor (2021-03-10)
      Report de recerca
      Accés obert
      It is well known that the existence of traveling wave solutions (TWS) for many partial differential equations (PDE) is a consequence of the fact that an associated planar ordinary differential equation (ODE) has certain ...
    • Persistence of periodic traveling waves and Abelian integrals 

      Gasull Embid, Armengol; Geyer, Anna; Mañosa Fernández, Víctor (2021-08)
      Article
      Accés obert
      It is well known that the existence of traveling wave solutions (TWS) for many partial differential equations (PDE) is a consequence of the fact that an associated planar ordinary differential equation (ODE) has certain ...
    • Phase portrait of Hamiltonian systems with homogeneous nonlinearities 

      Gasull Embid, Armengol; Guillamon Grabolosa, Antoni; Mañosa Fernández, Víctor (1999)
      Article
      Accés obert
      The main goal of this work is to describe the phase portarit of Hamiltonian systems with a non degenerate center at the origin and homogeneous nonlinearities of arbitrary degree n. We apply our results to the case n=2 to ...
    • Phase portraits of random planar homogeneous vector fields 

      Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor (2019-11-26)
      Report de recerca
      Accés obert
      We study the phase portraits with positive probability of random planar homogeneous vector fields of degree n. In particular, for n=1,2,3, we give a complete solution of the problem and, moreover, either we give the exact ...
    • Phase portraits of random planar homogeneous vector fields 

      Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor (2021-04)
      Article
      Accés obert
      In this paper, we study the probability of occurrence of phase portraits in the set of random planar homogeneous polynomial vector fields, of degree n. In particular, for n=1,2,3, we give the complete solution of the ...
    • Pointwise periodic maps with quantized first integrals 

      Cima, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor; Mañosas, Francesc (2022-05)
      Article
      Accés obert
      We describe the global dynamics of some pointwise periodic piecewise linear maps in the plane that exhibit interesting dynamic features. For each of these maps we find a first integral. For these integrals the set of values ...
    • Rational parameterizations approach for solving equations in some dynamical systems problems 

      Lázaro Ochoa, José Tomás; Gasull Embid, Armengol; Torregrosa Arús, Joan (2019-08)
      Article
      Accés obert
      We show how the use of rational parameterizations facilitates the study of the number of solutions of many systems of equations involving polynomials and square roots of polynomials. We illustrate the effectiveness of this ...
    • Rational periodic sequences for the Lyness recurrence 

      Gasull Embid, Armengol; Mañosa Fernández, Víctor; Xarles Ribas, Xavier (2010-04-30)
      Altres
      Accés obert
      Consider the celebrated Lyness recurrence $x_{n+2}=(a+x_{n+1})/x_{n}$ with $a\in\Q$. First we prove that there exist initial conditions and values of $a$ for which it generates periodic sequences of rational numbers with ...
    • Stability index of linear random dynamical system 

      Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor (2019-04-11)
      Report de recerca
      Accés obert
      Given a homogeneous linear discrete or continuous dynamical system, its stability index is given by the dimension of the stable manifold of the zero solution. In particular, for the n dimensional case, the zero solution ...
    • Stability index of linear random dynamical systems 

      Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor (2021)
      Article
      Accés obert
      Given a homogeneous linear discrete or continuous dynamical system, its stability index is given by the dimension of the stable manifold of the zero solution. In particular, for the n dimensional case, the zero solution ...
    • The period function for Hamiltonian systems with homogeneous nonlinearities 

      Gasull Embid, Armengol; Guillamon Grabolosa, Antoni; Mañosa Fernández, Víctor; Mañosas Capellades, Francesc (1996)
      Article
      Accés obert
      The paper deals with Hamiltonian systems with homogeneous nonlinearities. We prove that such systems have no isochronous centers, that the period annulus of any of its centres is either bounded or the whole plane and that ...
    • The period function for second-order quadratic ODEs is monotone 

      Gasull Embid, Armengol; Guillamon Grabolosa, Antoni; Villadelprat Yagüe, Jordi (2003)
      Article
      Accés obert
      Very little is known about the period function for large families of centers. In one of the pioneering works on this problem, Chicone [?] conjectured that all the centers encountered in the family of second-order differential ...
    • Upper bounds for the number of zeroes for some Abelian Integrals 

      Lázaro Ochoa, José Tomás; Gasull Embid, Armengol; Torregrosa, Joan (2012-01-12)
      Report de recerca
      Accés obert
      Abstract. Consider the vector field x0 = -yG(x, y), y0 = xG(x, y), where the set of critical points {G(x, y) = 0} is formed by K straight lines, not passing through the origin and parallel to one or two orthogonal ...