Exploració per autor "Llibre Saló, Jaume"
Ara es mostren els items 1-20 de 33
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A new approach to the vakonomic mechanics
Llibre Saló, Jaume; Ramírez Ros, Rafael; Sadovskaia Nurimanova, Natalia Guennadievna (2014-11-01)
Article
Accés restringit per política de l'editorialThe aim of this paper was to show that the Lagrange-d'Alembert and its equivalent the Gauss and Appel principle are not the only way to deduce the equations of motion of the nonholonomic systems. Instead of them we consider ... -
Analytic integrability of Bianchi Class A cosmological models with k=1
Ferragut Amengual, Antoni Manel; Llibre Saló, Jaume; Pantazi, Chara (2012)
Article
Accés restringit per política de l'editorialWe complete the study of the analytic integrability of the Class A of Bianchi cosmological models with k=1, characterizing the analytic first integrals of the Bianchi types V I0 and V III0. -
Axiomatic definition of the topological entropy on the interval
Alseda Soler, Lluís; Kolyada, Sergi; Llibre Saló, Jaume; Snoha, Lubomír (2000)
Article
Accés obertSummary. The aim of this paper is to give an axiomatic definition of the topological entropy for continuous interval maps and, in such a way, to shed some more light on the importance of the different properties of the ... -
Bifurcation of relative equilibria of the (1+3)-body problem
Corbera, M.; Cors Iglesias, Josep Maria; Llibre Saló, Jaume; Moeckel, Richard (2015-04-02)
Article
Accés obertWe study the relative equilibria of the limit case of the planar Newtonian 4-body problem when three masses tend to zero, the so-called (1+3)-body problem. Depending on the values of the infinitesimal masses the number of ... -
Centers and uniform isochronous centers of planar polynomial differential systems
Llibre Saló, Jaume; Ramirez Inostroza, Rafael; Ramírez Sadovski, Valentín; Sadovskaia Nurimanova, Natalia Guennadievna (2018-09)
Article
Accés obertFor planar polynomial vector fields of the form (-y+X(x,y))¿¿x+(x+Y(x,y))¿¿y, where X and Y start at least with terms of second order in the variables x and y, we determine necessary and sufficient conditions under which ... -
Centers of quasi-homogeneous polynomial differential equations of degree three
Aziz, Waleed; Llibre Saló, Jaume; Pantazi, Chara (2014-03-20)
Article
Accés restringit per política de l'editorialWe characterize the centers of the quasi-homogeneous planar polynomial differential systems of degree three. Such systems do not admit isochronous centers. At most one limit cycle can bifurcate from the periodic orbits of ... -
Central configurations of the planar coorbial satellite problem
Cors Iglesias, Josep Maria; Llibre Saló, Jaume; Ollé Torner, Mercè (2004-10)
Article
Accés obertWe study the planar central configurations of the 1 +n body problem where one mass is large and the other n masses are infinitesimal and equal. We find analytically all these central configurations when 2=n=4. Numerically, ... -
Central configurations of the planar coorbital satellite problem
Cors Iglesias, Josep Maria; Llibre Saló, Jaume; Ollé Torner, Mercè (2003)
Article
Accés obertWe study the planar central configurations of the 1 + n body problem where one mass is large and the other n masses are infinitesimal and equal. We find analytically all these central configurations when 2 ≤ n ≤ 4. Numerically, ... -
Counterexample to a conjecture on the algebraic limit cycles of polynomial vector fields
Llibre Saló, Jaume; Pantazi, Chara (2004)
Article
Accés obertIn Geometriae Dedicata 79 (2000), 101{108, Rudolf Winkel conjectured: For a given algebraic curve f = 0 of degree m > 4 there is in general no polynomial vector ¯eld of degree less than 2m ¡ 1 leaving invariant f = 0 ... -
Darboux integrability and dynamics of the Basener–Ross population model
Güngör, Faruk; Llibre Saló, Jaume; Pantazi, Chara (Circolo Matematico di Palermo, 2021)
Article
Accés obertWe deal with the Basener and Ross model for the evolution of human population in Easter island. We study the Darboux integrability of this model and characterize all its global dynamics in the Poincaré disc, obtaining 15 ... -
Darboux integrability and invariant algebraic curves for planar polynomial systems
Christopher, C.; Llibre Saló, Jaume; Pantazi, Chara; Zhang, Xiang (2004)
Article
Accés obertIn this paper we study the normal forms of polynomial systems having a set of given generic invariant algebraic curves. -
Darboux theory of integrability for a class of nonautonomous vector fields
Llibre Saló, Jaume; Pantazi, Chara (2009-10)
Article
Accés obertThe goal of this paper is to extend the classical Darboux theory of integrability from autonomous polynomial vector fields to a class of nonautonomous vector fields. We also provide sufficient conditions for applying ... -
Global phase portraits of the quadratic systems having a singular and irreducible invariant curve of degree 3
Pantazi, Chara; Llibre Saló, Jaume (2023-01)
Article
Accés obertAny singular irreducible cubic curve (or simply, cubic) after an affine transformation can be written as either y2=x3 , or y2=x2(x+1) , or y2=x2(x-1) . We classify the phase portraits of all quadratic polynomial differential ... -
Horseshoe periodic orbits for saturn coorbital satellites
Llibre Saló, Jaume; Ollé Torner, Mercè (2000)
Article
Accés obertWe consider the motion of coorbital satellites in the framework of the Restricted Three-Body problem for u=6.5*10^(-9). We show a mechanism to generate horsehoe periodic orbits and we compute some families of horseshoe ... -
Horseshoe periodic orbits in the restricted three body problem
Llibre Saló, Jaume; Ollé Torner, Mercè (2001)
Article
Accés obert -
Integrability and dynamics of a simplified class B laser system
Llibre Saló, Jaume; Pantazi, Chara (American Institute of Physics (AIP), 2023-10-12)
Article
Accés obertA simplified class B laser system is a family of differential polynomial systems of degree two depending on the parameters a and b. Its rich dynamics has already been observed in 1980s, see Arecchi et al. [Opt. Commun. 51, ... -
Invariant algebraic surfaces of polynomial vector fields in dimension three
Kruff, Niclas; Llibre Saló, Jaume; Pantazi, Chara; Walcher, Sebastian (Springer, 2021-01-01)
Article
Accés obertWe discuss criteria for the nonexistence, existence and computation of invariant algebraic surfaces for three-dimensional complex polynomial vector fields, thus transferring a classical problem of Poincaré from dimension ... -
Limit cycles bifurcating from a degenerate center
Llibre Saló, Jaume; Pantazi, Chara (2016-02-01)
Article
Accés obertWe study the maximum number of limit cycles that can bifurcate from a degenerate center of a cubic homogeneous polynomial differential system. Using the averaging method of second order and perturbing inside the class of ... -
Morphisms and inverse problems
Christopher, Colin; Llibre Saló, Jaume; Pantazi, Chara; Walcher, Sebastian (2011-11-03)
Report de recerca
Accés obertIn order to investigate polynomial vector ¯elds admitting a prescribed Darboux integrating factor, we show that it is helpful to employ morphisms of the a±ne plane. In particular, such morphisms may be used to remove ... -
Morphisms and inverse problems for Darboux integrating factors
Llibre Saló, Jaume; Pantazi, Chara; Walcher, Sebastian (2013-12)
Article
Accés obertPolynomial vector fields which admit a prescribed Darboux integrat- ing factor are quite well-understood when the geometry of the underlying curve is nondegenerate. In the general setting morphisms of the affine plane ...