Exploració per autor "Gasull Embid, Armengol"
Ara es mostren els items 29-48 de 55
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Non-integrability of measure preserving maps via Lie symmetries
Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor (2015-11-15)
Article
Accés obertWe 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 obertWe 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 obertGiven 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'editorialWe 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 obertWe 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 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 ...