Exploració per autor "Gasull Embid, Armengol"
Ara es mostren els items 48-55 de 55
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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 ... -
Upper bounds for the number of zeroes for some Abelian integrals
Gasull Embid, Armengol; Lázaro Ochoa, José Tomás; Torregrosa, Joan (2012-09)
Article
Accés restringit per política de l'editorialConsider the vector field x′=−yG(x,y),y′=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 directions. We perturb it ...