Exploració per autor "Gasull Embid, Armengol"
Ara es mostren els items 35-54 de 55
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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 obertWe 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 obertWe 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 obertWe 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 obertWe 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 obertWe 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 obertIt 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 obertIt 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 obertThe 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 obertWe 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 obertIn 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 obertWe 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 obertWe 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 obertConsider 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 obertGiven 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 obertGiven 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 obertThe 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 obertVery 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 obertAbstract. 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 ...