UAB Digital Repository of Documents 13 records found  1 - 10next  jump to record: Search took 0.00 seconds. 
1.
17 p, 387.7 KB Convexity and symmetry of central configurations in the five-body problem : Lagrange plus two / Barrabés Vera, Esther (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Fernandes, Antonio Carlos (Universidade Federal de Itajubá. Instituto de Matemática e Computação (Brazil)) ; Vidal, Claudio (Universidad del Bío-Bío. Departamento de Matemática (Chile))
We study convexity and symmetry of central configurations in the five body problem when three of the masses ara located at the vertices of an equilateral triangle, that we call Lagrange plus two central configurations. [...]
2021 - 10.1007/s12346-021-00504-7
Qualitative theory of dynamical systems, Vol. 20, Issue 3 (November 2021) , art. 63  
2.
4 p, 609.7 KB Transport dynamics : from the bicircular to the real solar system problem / Ollé, Mercè (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I) ; Barrabés Vera, Esther (Universitat de Girona. Departament d'Informàtica i Matemàtica Aplicada) ; Gómez, Gerard (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi) ; Mondelo González, José María (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The main goal is to give an explanation of transport in the Solar System based in dynamical systems theory. More concretely, we consider as an approximation of the Solar System, a chain of independent Bicircular problems in order to get a first insight of transport in this simplified case. [...]
Cham, etc : Birkhäuser, cop. 2015 (Trends in mathematics. Research perspectives CRM Barcelona ; 4) - 10.1007/978-3-319-22129-8_8
Extended Abstracts Spring 2014, part 1- Hamiltonian Systems and Celestial Mechanics, 2015, p. 17-21  
3.
13 p, 252.7 KB On strictly convex central configurations of the 2n-body problem / Barrabés Vera, Esther (Universitat de Girona. Escola Politècnica Superior) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Escola Politècnica Superior d'Enginyeria de Manresa)
We consider planar central configurations of the Newtonian 2n-body problem consisting in two twisted regular n-gons of equal masses. We prove the conjecture that for n≥ 5 all convex central configurations of two twisted regular n-gons are strictly convex.
2019 - 10.1007/s10884-018-9708-5
Journal of dynamics and differential equations, Vol. 31, Issue 4 (December 2019) , p. 2293-2304  
4.
13 p, 6.1 MB Tails and bridges in the parabolic restricted three-body problem / Barrabés Vera, Esther (Universitat de Girona. Escola Politècnica Superior) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Escola Politècnica Superior d'Enginyeria de Manresa) ; Garcia-Taberner, Laura (Universitat de Girona. Escola Politècnica Superior) ; Ollé, Mercè (Universitat Politècnica de Catalunya. Escola Tècnica Superior d'Enginyeria Industrial de Barcelona)
After a close encounter of two galaxies, bridges and tails can be seen between or around them. A bridge would be a spiral arm between a galaxy and its companion, whereas a tail would correspond to a long and curving set of debris escaping from the galaxy. [...]
2017 - 10.1093/mnras/stx1990
Monthly Notices of the Royal Astronomical Society, Vol. 472, Issue 3 (December 2017) , p. 2554-2568  
5.
24 p, 1.3 MB Pseudo-heteroclinic connections between bicircular restricted four-body problems / Barrabés Vera, Esther (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística) ; Gómez, Gerard (Universitat de Barcelona. Departament de Matemàtiques i Informàtica) ; Mondelo González, José María (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Ollé, Mercè (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I)
In this paper, we show a mechanism to explain transport from the outer to the inner Solar system. Such a mechanism is based on dynamical systems theory. More concretely, we consider a sequence of uncoupled bicircular restricted four-body problems - BR4BP - (involving the Sun, Jupiter, a planet and an infinitesimal mass), being the planet Neptune, Uranus and Saturn. [...]
2016 - 10.1093/mnras/stw1662
Monthly Notices of the Royal Astronomical Society, Vol. 462, Issue 1 (October 2016) , p. 740-750  
6.
15 p, 488.5 KB On central configurations of the κn-body problem / Barrabés Vera, Esther (Universitat de Girona) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya)
We consider planar central configurations of the Newtonian κn-body problem consisting in κ groups of regular n-gons of equal masses, called (κ,n)-crown. We derive the equations of central configurations for a general (κ,n)-crown. [...]
2019 - 10.1016/j.jmaa.2019.04.010
Journal of mathematical analysis and applications, Vol. 476, Núm. 2 (August 2019) , p. 720-736  
7.
24 p, 2.5 MB Spatial collinear restricted 4-body problem with repulsive Manev potential / Barrabés Vera, Esther (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Vidal, Claudio (Universidad del Bío-Bío (Xile). Departament de Matemática)
We outlines some aspects of the dynamics of an infinitesimal mass under the Newtonian attraction of three point masses in a symmetric collinear relative equilibria configuration when a repulsive Manev potential (-1/r e/r^2), e > 0, is applied to the central mass. [...]
2017 - 10.1007/s10569-017-9771-y
Celestial Mechanics & Dynamical Astronomy. An International Journal of Space Dynamics, 2017, p. 1-24  
8.
4 p, 242.3 KB Convex central configurations of two twisted n-gons / Barrabés Vera, Esther (Universitat de Girona. Departament d'Informàtica i Matemàtica Aplicada) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III)
Extended Conference abstract corresponding to talk given at the "Conference on Hamiltonian Systems and Celestial Mechanics 2014" (HAMSYS2014) held at the Centre de Recerca Matemàtica (CRM) in Barcelona from June 2nd to 6th, 2014. [...]
Cham, etc : Birkhäuser, cop. 2015 (Trends in mathematics. Research perspectives CRM Barcelona ; 4) - 10.1007/978-3-319-22129-8_3
Extended Abstracts Spring 2014, part 1- Hamiltonian Systems and Celestial Mechanics, 2015, p. 17-21  
9.
28 p, 13.8 MB Numerical exploration of the limit ring problem / Barrabés Vera, Esther (Universitat de Girona. Departament d'Informàtica i Matemàtica Aplicada) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III) ; Hall, Glen Richard (Boston University. Department of Mathematics and Statistics)
The aim of this work is to provide an insight of an idealized model of a planetary ring. The model is a limit case of the planar circular restricted 1+n body problem, where an infinitesimal particle moves under the gravitational influence of a large central body and n smaller bodies located on the vertices of a regular n-gon. [...]
2013 - 10.1007/s12346-012-0082-0
Qualitative theory of dynamical systems, Vol. 12 Núm. 1 (2013) , p. 25-52  
10.
23 p, 2.2 MB Numerical continuation of families of heteroclinic connections between periodic orbits in a Hamiltonian system / Barrabés Vera, Esther (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística) ; Mondelo González, José María (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Ollé, Merce (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I)
This paper is devoted to the numerical computation and continuation of families of heteroclinic connections between hyperbolic periodic orbits of a Hamiltonian system. We describe a method that requires the numerical continuation of a nonlinear system that involves the initial conditions of the two periodic orbits, the linear approximations of the corresponding manifolds and a point in a given Poincaré section where the unstable and stable manifolds match. [...]
2013 - 10.1088/0951-7715/26/10/2747
Nonlinearity, Vol. 26 (2013) , p. 2747-2765  

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