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Dipòsit Digital de Documents de la UAB 49 registres trobats  1 - 10següentfinal  anar al registre: La cerca s'ha fet en 0.01 segons. 
1.
11 p, 296.4 KB On the Periodic Orbits of the Perturbed Two- and Three-Body Problems / Abouelmagd, Elbaz I. (National Research Institute of Astronomy and Geophysics. Astronomy Department (Egypt)) ; Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this work, a perturbed system of the restricted three-body problem is derived when the perturbation forces are conservative alongside the corresponding mean motion of two primaries bodies. Thus, we have proved that the first and second types of periodic orbits of the rotating Kepler problem can persist for all perturbed two-body and circular restricted three-body problems when the perturbation forces are conservative or the perturbed motion has its own extended Jacobian integral.
2023 - 10.3390/galaxies11020058
Galaxies, Vol. 11, Issue 2 (April 2023) , art. 58  
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2.
On the C1 non-integrability of the autonomous differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In the study of the dynamics of the autonomous differential systems to know the existence or non-existence of first integrals is a relevant fact. These last decades the meromorphic non-integrability of the autonomous differential systems have been studied intensively using the Ziglin's and the Morales-Ramis' theories. [...]
2023 - 10.1016/j.nonrwa.2023.103943
Nonlinear Analysis: Real World Applications, Vol. 74 (December 2023) , art. 103943  
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3.
11 p, 301.0 KB Periodic Orbits of Quantised Restricted Three-Body Problem / Abouelmagd, Elbaz I. (National Research Institute of Astronomy and Geophysics . Astronomy Department) ; Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemáticas) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper, perturbed third-body motion is considered under quantum corrections to analyse the existence of periodic orbits. These orbits are studied through two approaches to identify the first (second) periodic-orbit types. [...]
2023 - 10.3390/universe9030149
Universe, Vol. 9, Issue 3 (March 2023) , art. 149  
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4.
11 p, 634.0 KB Non-existence and uniqueness of limit cycles in a class of generalized Liénard equations / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
We provide a sharp upper bound for the number of limit cycles of the generalized Liénard differential systems x˙ = y + axn + bxk, y˙ = cxm where n, k, m are positive integers, 1 < n< k and a, b, c∈ R with bc≠ 0. [...]
2022 - 10.1007/s40590-022-00433-8
Boletin de la Sociedad Matematica Mexicana, Vol. 28, Issue 2 (July 2022) , art. 41  
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5.
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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6.
27 p, 2.6 MB Topological properties of the immediate basins of attraction for the secant method / Gardini, Laura (University of Urbino. Department of Economics, Society and Politics) ; Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Jarque i Ribera, Xavier (Universitat de Barcelona. Departament de Matemàtiques i Informàtica)
We study the discrete dynamical system defined on a subset of R given by the iterates of the secant method applied to a real polynomial p. Each simple real root α of p has associated its basin of attraction A(α) formed by the set of points converging towards the fixed point (α, α) of S. [...]
2021 - 10.1007/s00009-021-01845-y
Mediterranean Journal of Mathematics, Vol. 18, Issue 5 (October 2021) , art. 221
2 documents
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7.
9 p, 545.5 KB Periodic orbits for a generalized Hénon-Heiles Hamiltonian system with an additional singular gravitational term / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
We study the periodic dynamics of the Hénon-Heiles Hamiltonian system with the additional singular gravitational term 1/(x2+y2). The Hénon-Heiles modelizes how stars move around a galactic center. [...]
2021 - 10.1209/0295-5075/134/60005
Europhysics Letters (EPL), Vol. 134, Issue 6 (June 2021) , art. 60005  
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8.
15 p, 714.9 KB Limit cycles of 3-dimensional discontinuous piecewise differential systems formed by linear centers / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; De Moraes, Jaime Rezende (Universidade Estadual do Mato Grosso do Sul - Rodovia Dourados. Curso de Matemática)
In this paper we deal with 3-dimensional discontinuous piecewise differential systems formed by linear centers and separated by one plane or two parallel planes. We prove that these systems separated by one plane have no limit cycles, besides the systems separated by two parallel planes have at most one limit cycle, and that there are systems having such a limit cycle. [...]
2021 - 10.1007/s40863-021-00237-0
São Paulo Journal of Mathematical Sciences, Vol. 15, Issue 2 (December 2021) , p. 858-874  
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9.
15 p, 743.5 KB Zero-Hopf bifurcations in three-dimensional chaotic systems with one stable equilibrium / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Messias, Marcelo (Universidade Estadual Paulista. Departamento de Matemática e Computação (Brazil)) ; De Carvalho Reinol, Alisson (Universidade Tecnológica Federal Do Paraná. Departamento Acadêmico de Matemática (Brazil))
In (Molaie et al. , Int J Bifurcat Chaos 23 (2013) 1350188) the authors provided the expressions of twenty three quadratic differential systems in R3 with the unusual feature of having chaotic dynamics coexisting with one stable equilibrium point. [...]
2020 - 10.1142/S0218127420501898
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 30, Issue 13 (October 2020) , art. 2050189  
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10.
15 p, 1.1 MB Crossing periodic orbits via first integrals / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Tonon, Durval José (Universidade Federal de Goiás. Instituto de Matemática e Estatística (Brazil)) ; Velter, Mariana Queiroz (Universidade Federal de Goiás. Instituto de Matemática e Estatística (Brazil))
We characterize the families of periodic orbits of two discontinuous piecewise differential systems in R3 separated by a plane using their first integrals. One of these discontinuous piecewise differential systems is formed by linear differential systems, and the other by nonlinear differential systems.
2020 - 10.1142/S0218127420501631
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 30, Issue 11 (September 2020) , art. 2050163  
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