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Resultats globals: 9 registres trobats en 0.02 segons.
Articles, 8 registres trobats
Llibres i col·leccions, 1 registres trobats
Articles 8 registres trobats  
1.
12 p, 828.1 KB Global dynamics of the integrable Armbruster-Guckenheimer-Kim galactic potential / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática)
We study the global dynamics of the completely integrable Armbruster-Guckenheimer-Kim galactic potential. In these cases this system has two first integrals H1 and H2 independent and in involution. Let Ih1 and Ih2 be the set of points of the phase space on which H1 and H2 take the values h1 and h2, respectively. [...]
2019 - 10.1007/s10509-019-3624-y
Astrophysics and Space Science. An International Journal of Astronomy, Astrophysics and Space Science, Vol. 364, Issue 8 (August 2019) , art. 130  
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2.
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  
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3.
31 p, 3.3 MB Ejection-collision orbits in the RTBP / Ollé, Mercè (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Rodríguez, Òscar (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Soler, Jaume (Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental)
In this paper we analyse the ejection-collision (EC) orbits of the planar restricted three body problem. Being μ∈(0, 0. 5] the mass parameter, and taking the big (small) primary with mass 1 − μ (μ), an EC orbit will be an orbit that ejects from the big primary, does an excursion and collides with it. [...]
2018 - 10.1016/j.cnsns.2017.07.013
Communications in nonlinear science and numerical simulation, Vol. 55 (2018) , p. 298-315  
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4.
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 and Dynamical Astronomy, 2017  
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5.
21 p, 515.2 KB Global dynamics of the Benoît system / Lima, Mauricio Firmino Silva (Universidade Federal do ABC(Brazil). Centro de Matemática Computacâo e Cognicâo) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we work with a two-degree polynomial differential system in R3 related with the canard phenomena. We show that this system is completely integrable, and we provide its global phase portrait in the Poincaré ball using the Poincaré-Lyapunov compactification.
2014 - 10.1007/s10231-012-0318-2
Annali di Matematica Pura ed Applicata, Vol. 193 Núm. 4 (2014) , p. 1103-1122  
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6.
15 p, 389.8 KB Global dynamics of the Rossler system with conserved quantities / Lima, Mauricio Firmino Silva (Universidade Federal do ABC(Brazil). Centro de Matemática Computacâo e Cognicâo) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The subject of this paper concerns with a class of Rössler systems that admits conserved quantities. For this class of systems a complete description of the global dynamics in the Poincaré sphere is provided.
2011 - 10.1088/1751-8113/44/36/365201
Journal of Physics. A. Mathematical and General, Vol. 44 Núm. 36 (2011) , p. 365201  
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7.
32 p, 2.6 MB Dynamics of 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) ; Ollé, Merce (Universitat Politècnica de Catalunya. Escola Tècnica Superior d'Enginyeria Industrial de Barcelona)
The main purpose of the paper is the study of the motion of a massless body attracted, under the Newton's law of gravitation, by two equal masses moving in parabolic orbits all over in the same plane, the planar parabolic restricted three-body problem. [...]
2015 - 10.1016/j.cnsns.2015.05.025
Communications in nonlinear science and numerical simulation, Vol. 29 (2015) , p. 400-415  
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8.
18 p, 359.4 KB Briot-Bouquet's Theorem in high dimension / Carrillo Torres, Sergio Alejandro (Universidad de Valladolid. Departamento de Algebra, Análisis Matemático, Geometría y Topología) ; Sanz Sánchez, Fernando (Universidad de Valladolid. Departamento de Algebra, Análisis Matemático, Geometría y Topología)
Let X be a germ of holomorphic vector field at 0 2 Cn and let E be a linear subspace of Cn which is invariant for the linear part of X at 0. We give a suficient condition that imply the existence of a non-singular invariant manifold tangent to E at 0. [...]
2014 - 10.5565/PUBLMAT_Extra14_07
Publicacions matemàtiques, Vol. Extra, Núm. (2014) , p. 135-152  
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Llibres i col·leccions 1 registres trobats  
1.
68 p, 5.5 MB Computing invariant manifolds for libration point missions / Mondelo González, José María (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The goal of this lecture is to review several methodologies for the computation of invariant manifolds, having in mind the needs of preliminary mission design of libration point missions. Because of this, the methods reviewed are developed for and applied to the circular, spatial restricted three-body problem (RTBP), although most of them can be applied with few changes, or almost none, to general dynamical systems. [...]
Springer, Cham, 2019 (Springer INdAM Series ; 34) - 10.1007/978-3-030-20633-8_4
Satellite Dynamics and Space Missions, 2019, p. 159-223  
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