Exploració per autor "Gasull Embid, Armengol"
Ara es mostren els items 28-47 de 55
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Non-integrability of measure preserving maps via Lie symmetries
(2015-03-18)
Report de recerca
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 ... -
Non-integrability of measure preserving maps via Lie symmetries
(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
(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
(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
(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
(2012-03)
Article
Accés obert -
On two and three periodic Lyness difference equations
(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
(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
(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
(2001)
Article
Accés obert -
Periodic orbits of discrete and continuous dynamical systems via Poincaré-Miranda theorem
(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
(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
(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
(2017-07-03)
Presentació
Accés obert -
Persistence of periodic traveling waves and Abelian integrals
(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
(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
(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
(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
(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
(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 ...
