UAB Digital Repository of Documents 785 records found  beginprevious474 - 483nextend  jump to record: Search took 0.00 seconds. 
474.
50 p, 625.7 KB Central configurations of the 4-body problem with masses m_1=m_2>m_3=m_4=m>0 and m small / Corbera Subirana, Montserrat (Universitat de Vic. Departament de Tecnologies Digitals i de la Informació) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we give a complete description of the families of central configurations of the planar 4-body problem with two pairs of equals masses and two equal masses sufficiently small. In particular, we give an analytical proof that this particular 4-body problem has exactly 34 different classes of central configurations. [...]
2014 - 10.1016/j.amc.2014.07.109
Applied Mathematics and Computation, Vol. 246 (2014) , p. 121-147  
475.
12 p, 632.5 KB Periodic solutions of a Galactic potential / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pasca, Daniel (University of Oradea(Romania). Department of Mathematics and Informatics) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
We study analytically the periodic solutions of a Hamiltonian in R^6 given by the kinetic energy plus a galactic potential, using averaging theory of first order. The model perturbs a harmonic oscillator, and has been extensively used in order to describe local motion in galaxies near an equilibrium point.
We study analytically the periodic solutions of a Hamiltonian in R6 given by the kinetic energy plus a galactic potential, using averaging theory of first order. The model perturbs a harmonic oscillator, and has been extensively used in order to describe local motion in galaxies near an equilibrium point.

2014 - 10.1016/j.chaos.2014.02.005
Chaos, solitons and fractals, Vol. 61 (2014) , p. 38-43  
476.
20 p, 630.7 KB Periodic orbits for the generalized Yang-Mills Hamiltonian systems in dimension 6 / Lembarki, Fatima Ezzahra (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We apply the averaging theory to study a generalized Yang-Mills Hamiltonian system in dimension 6 with six parameters. We provide sufficient conditions on the six parameters of the system which guarantee the existence of continuous families of period orbits parameterized by the energy.
2014 - 10.1007/s11071-014-1249-9
Nonlinear Dynamics, Vol. 76 (2014) , p. 1807-1819  
477.
16 p, 714.6 KB Limit cycles of generalized Liénard polynomial differential systems via averaging theory / García, Belen (Universidad de Oviedo. Departamento de Matemáticas) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Suárez Pérez del Río, Jesús (Universidad de Oviedo. Departamento de Matemáticas)
Using the averaging theory of first and second order we study the maximum number of limit cycles of the polynomial differential systems x˙ = y, y˙ = −x − ε(p1(x)y + q1(x)y2) − ε2(p2(x)y + q2(x)y2). [...]
2014 - 10.1016/j.chaos.2014.02.008
Chaos, solitons and fractals, Vol. 62-63 (2014) , p. 1-9  
478.
62 p, 2.4 MB Geometric configurations of singularities for quadratic differential systems with total finite multiplicity m_f=2 / Artés Ferragud, Joan Carles (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Schlomiuk, Dana (Université de Montréal. Département de Mathématiques et de Statistiques) ; Vulpe, Nicolae (Academy of Sciences of Moldova. Institute of Mathematics and Computer Science)
In this work we consider the problem of classifying all configurations of singularities, both finite and infinite of quadratic differential systems, with respect to the geometric equivalence relation defined in [3]. [...]
2014
Electronic journal of differential equations, Vol. 2014 Núm. 159 (2014) , p. 1-79  
479.
12 p, 370.0 KB Piecewise bounded quadratic systems in the plane / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; da Silva, Clayton Eduardo Lente (UNESP(Brazil). Deparatamento de Matemática) ; Da Silva, Paulo R. (UNESP(Brazil). Deparatamento de Matemática)
In this paper we study the sliding mode of piecewise bounded quadratic systems in the plane given by a non-smooth vector field Z = (X, Y ). Analyzing the singular, crossing and sliding sets, we get the conditions which ensure that any solution, including the sliding one, is bounded.
2014 - 10.1007/s12591-014-0205-y
Differential Equations and Dynamical Systems, 2014  
480.
19 p, 640.1 KB Limit cycles for a class of continuous and discontinuous cubic polynomial differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Lopes, Bruno D. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; De Moraes, Jaime Rezende (IBILCE-UNESP(Brazil). Departamento de Matemática)
We study the maximum number of limit cycles that bifurcate from the periodic solutions of the family of isochronous cubic polynomial centers x˙ = y(−1 + 2αx + 2βx2), y˙ = x + α(y2 − x2) + 2βxy2, α ∈ R, β < 0, when it is perturbed inside the classes of all continuous and discontinuous cubic polynomial differential systems. [...]
2014 - 10.1007/s12346-014-0109-9
Qualitative theory of dynamical systems, Vol. 13 Núm. 1 (2014) , p. 129-148  
481.
24 p, 448.9 KB Spatial bi-stacked central configurations formed by two dual regular polyhedra / Corbera Subirana, Montserrat (Universitat de Vic. Departament de Tecnologies Digitals i de la Informació) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pérez-Chavela, Ernesto (UAM-Iztapalapa(México). Departamento de Matemáticas)
In this paper we prove the existence of two new families of spatial stacked central configurations, one consisting of eight equal masses on the vertices of a cube and six equal masses on the vertices of a regular octahedron, and the other one consisting of twenty masses at the vertices of a regular dodecahedron and twelve masses at the vertices of a regular icosahedron. [...]
2014 - 10.1016/j.jmaa.2013.12.015
Journal of mathematical analysis and applications, Vol. 413 Núm. 2 (2014) , p. 648-659  
482.
15 p, 712.0 KB Nonintegrability of a Halphen system / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
In this paper we study the Halphen system given by x˙1 = x2x3 − x1(x2 + x3) − α21(x1 − x2)(x3 − x1), x˙ 2 = x3x1 − x2(x3 + x1) − α22(x2 − x3)(x1 − x2), x˙ 3 = x1x2 − x3(x1 + x2) − α23(x3 − x1)(x2 − x3), where x1, x2, x3 are real variables and α1, α2, α3 are real constants. [...]
2014 - 10.1007/s11232-014-0219-1
Theoretical and Mathematical Physics, Vol. 181 Núm. 2 (2014) , p. 1383-1395  
483.
6 p, 643.0 KB On the analytic integrability of the cored galactic Hamiltonian / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
We provide a complete characterization of the analytic first integrals of the cored galactic Hamiltonian.
2014 - 10.1016/j.aml.2014.03.001
Applied mathematics letters, Vol. 33 (2014) , p. 35-39  

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