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Articles 24 registres trobats  1 - 10següentfinal  anar al registre:
1.
31 p, 6.8 MB Numerical study of the geometry of the phase space of the augmented Hill three-body problem / Farrés, Ariadna (Universitat de Barcelona. Institut de Matemàtiques) ; Jorba, Àngel (Universitat de Barcelona. Departament de Matemàtiques i Informàtica) ; Mondelo González, José María (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The Augmented Hill Three-Body problem is an extension of the classical Hill problem that, among other applications, has been used to model the motion of a solar sail around an asteroid. This model is a 3 degrees of freedom (3DoF) Hamiltonian system that depends on four parameters. [...]
2017 - 10.1007/s10569-017-9762-z
Celestial Mechanics & Dynamical Astronomy. An International Journal of Space Dynamics, 2017  
2.
25 p, 395.7 KB Symmetric periodic orbits for the collinear charged 3-body problem / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Tonon, Durval J. (University of Goiás (Brasil). Institute of Mathematics and Statistics of Federal)
In this paper we study the existence of periodic symmetric orbits of the 3-body problem when each body possess mass and an electric charge. The main technique applied in this study is the continuation method of Poincar\'e.
2017 - 10.1063/1.4974511
Journal of Mathematical Physics, Vol. 58 (2017) , p. 22702  
3.
28 p, 723.4 KB Periodic orbits of perturbed elliptic oscillators in 6D via averaging theory / Lembarki, Fatima Ezzahra ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We provide sufficient conditions on the energy levels to guarantee the existence of periodic orbits for the perturbed elliptic oscillators in 6D using the averaging theory. We give also an analytical estimation of the shape of these periodic orbits parameterized by the energy. [...]
2016 - 10.1007/s10509-016-2930-x
Astrophysics and Space Science. An International Journal of Astronomy, Astrophysics and Space Science, 2016, p. 361-340  
4.
26 p, 508.8 KB Continua of periodic points for planar integrable rational maps / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Llorens, Mireia (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosa, Víctor (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III)
We present three alternative methodologies to find continua of periodic points with a prescribed period for rational maps having rational first integrals. The first two have been already used for other authors and apply when the maps are birational and the generic level sets of the corresponding first integrals have either genus 0 or 1. [...]
2016
International Journal of Difference Equations, Vol. 11 Núm. 1 (2016) , p. 37-63  
5.
12 p, 1.7 MB New families of periodic orbits for a galactic potential / de Bustos, Maria T. (Universidad de Salamanca. Departamento de Matemática Aplicada) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística) ; Vera, Juan A. (Universidad Politécnica de Cartagena. Centro Universitario de la Defensa)
The Hamiltonian system associated to the Hamiltonian \[ H=(P_1^2 P_2^2 P_3^2)/2 (Q_1^2 Q_2^2 Q_3^2)/2 (Q_1^4 Q_2^4 Q_3^4 a(Q_1^2Q_2^2 Q_1^2Q_3^2 Q_2^2Q_3^2)), \] where and a are parameters and is small, describes the local motion in the central area of a galaxy. [...]
2016 - 10.1016/j.chaos.2015.11.003
Chaos, Solitons and Fractals, Vol. 82 (2016) , p. 97-102  
6.
23 p, 542.3 KB Piecewise smooth dynamical systems: Persistence of periodic solutions and normal forms / Gouveia, Marcio R. A. (IBILCE–UNESP(Brazil). Departamento de Matemática) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Novaes, Douglas D. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pessoa, Claudio (IBILCE–UNESP(Brazil). Departamento de Matemática)
We consider an n-dimensional piecewise smooth vector field with two zones separated by a hyperplane \Sigma which admits an invariant hyperplane \Omega transversal to \Sigma containing a period annulus A fulfilled by crossing periodic solutions. [...]
2016 - 10.1016/j.jde.2015.12.034
Journal of Differential Equations, Vol. 260 (2016) , p. 6108-6129  
7.
21 p, 458.8 KB Existence and uniqueness of limit cycles for generalized -Laplacian Liénard equations / Pérez-González, Set (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan  (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torres, Pedro J. (Universidad de Granada. Departamento de Matemática Aplicada)
The Liénard equation x′′ + f(x)x′ + g(x) = 0 appears as a model in many problems of science and engineering. Since the first half of the 20th century, many papers have appeared providing existence and uniqueness conditions for limit cycles of Li´enard equations. [...]
2016 - 10.1016/j.jmaa.2016.03.004
Journal of Mathematical Analysis and Applications, Vol. 439 (2016) , p. 745-765  
8.
51 p, 797.5 KB Periodic orbits for a generalized Friedmann-Robertson-Walker Hamiltonian system in dimension 6 / Lembarki, Fatima Ezzahra ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
A generalized Friedmann-Robertson-Walker Hamiltonian system is studied in dimension 6. The averaging theory is the tool used to provide sufficient conditions on the six parameters of the system which guarantee the existence of continuous families of period orbits parameterized by the energy.
2015 - 10.3934/dcdss.2015.8.1165
Discrete and Continuous Dynamical Systems. Series S, Vol. 8 Núm. 6 (2015) , p. 1165-1211  
9.
15 p, 795.4 KB Periodic orbits of a perturbed 3–dimensional isotropic oscillator with axial symmetry / Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Vera, Juan A. (Universidad Politécnica de Cartagena. Centro Universitario de la Defensa)
We study the periodic orbits of a generalized Yang–Mills Hamiltonian H depending on a parameter β. Playing with the parameter β we are considering extensions of the Contopoulos and of the Yang–Mills Hamiltonians in a 3-dimensional space. [...]
2015 - 10.1007/s11071-015-2371-z
Nonlinear Dynamics, Vol. 83 (2015) , p. 839-848  
10.
19 p, 727.0 KB The 3-dimensional cored and logarithm potencials: Periodic orits / Kulesza, Maite (Universidade Federal Rural de Pernambuco(Brasil). Departamento de Matemática) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We study analytically families of periodic orbits for the cored and logarithmic Hamiltonians H(x, y, z, px, py, pz) = (p2x +p2y +p2z/q)/2+ (1+x2 +(y2 +z2)/q2)1/2, and H(x, y, z, px, py, pz) = (p2x +p2y +p2z/q)/2+ (log(1+x2 +(y2 + z2)/q2))/2, with 3 degrees of freedom, which are relevant in the analysis of the galactic dynamics. [...]
2014 - 10.1063/1.4901126
Journal of Mathematical Physics, Vol. 55 (2014) , p. 112702  

Articles : 24 registres trobats   1 - 10següentfinal  anar al registre:
Documents de recerca 1 registres trobats  
1.
32 p, 619.7 KB Periodic orbits and nonintegrability of the Henon-Heiles Hamiltonian systems / Lembarki, Fatima Ezzahra ; Llibre, Jaume, dir. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Universitat Autònoma de Barcelona. Departament de Matemàtiques
Dans la nature et dans la vie des hommes, de nombreux processus, sont en constante évolution. Nous parlons donc de systèmes dynamiques. Généralement ces changements incessants sont souvent difficiles à prédire et modéliser car ils surviennent de manière non linéaire et n’obéissent pas pleinement aux simples lois du hasard.
2011  

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