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Artículos, Encontrados 21 registros
Artículos Encontrados 21 registros  1 - 10siguientefinal  ir al registro:
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  
2.
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  
3.
12 p, 751.4 KB Periodic solutions and their stability for some perturbed Hamiltonian systems / 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. Academia General Del Aire) ; Wade, Bruce A. (University of Louisiana at Lafayette. Mathematics Department (USA))
We deal with non-autonomous Hamiltonian systems of one degree of freedom. For such differential systems, we compute analytically some of their periodic solutions, together with their type of stability. [...]
2021 - 10.1142/S0219887821500134
International Journal of Geometric Methods in Modern Physics, Vol. 18, Issue 1 (January 2021) , art. 2150013  
4.
10 p, 794.8 KB The dynamics of the relativistic Kepler problem / 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)
We deal with the Hamiltonian system (HS) provided by the correction given by the special relativity to the motion of the two-body problem, or by the first order correction to this problem coming from the general relativity. [...]
2020 - 10.1016/j.rinp.2020.103406
Results in Physics, Vol. 19 (December 2020) , art. 103406
2 documentos
5.
7 p, 419.1 KB On the periods of a continuous self-map on a graph / Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Let G be a graph and f be a continuous self-map on G. We present new and known results (from another point of view) on the periods of the periodic orbits of f using mainly the action of f on its homology, or the shape of the graph G.
2019 - 10.1007/s40314-019-0846-0
Computational & Applied Mathematics, Vol. 38, Issue 2 (June 2019) , art. 78  
6.
14 p, 314.2 KB Periodic orbits for the perturbed planar circular restricted 3-body problem / Abouelmagd, Elbaz I. (National Research Institute of Astronomy and Geophysics (Egipte). Astronomy Department) ; Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We characterize when the classical first and second kind of periodic orbits of the planar circular restricted 3-body problem obtained by Poincaré, can be extended to perturbed planar circular restricted 3-body problems. [...]
2019 - 10.3934/dcdsb.2019003
Discrete and continuous dynamical systems. Series B, Vol. 24, Issue 3 (March 2019) , p. 1007-1020  
7.
9 p, 300.5 KB Periodic orbits of the planar anisotropic Kepler problem / Abouelmagd, Elbaz I. (National Research Institute of Astronomy and Geophysics (Egipte). Astronomy Department) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística)
In this paper we prove that at every energy level the anisotropic problem with small anisotropy has two periodic orbits which bifurcate from elliptic orbits of the Kepler problem with high eccentricity. [...]
2017 - 10.1142/S0218127417500390
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 27 Núm. 3 (2017) , p. 1750039  
8.
6 p, 1.8 MB Periods of continuous maps on closed surfaces / Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
2017 - 10.1216/RMJ-2017-47-4-1089
The Rocky Mountain Journal of Mathematics, Vol. 47 Núm. 4 (2017) , p. 1089-1096  
9.
7 p, 400.5 KB Periods of continuous maps on some compact spaces / Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The objective of this paper is to provide information on the set of periodic points of a continuous self--map defined in the following compact spaces: S^n (the n--dimensional sphere), S^n S^m (the product space of the n--dimensional with the m--dimensional spheres), CP^n (the n--dimensional complex projective space) and HP^n (the n--dimensional quaternion projective space). [...]
2016 - 10.1080/10236198.2017.1304932
Houston Journal of Mathematics, Vol. 42 Núm. 3 (2016) , p. 1047-1058  
10.
12 p, 1.7 MB New families of periodic orbits for a galactic potential / de Bustos, Maria T. (Universidad de Salamanca. Departamento de Matemáticas) ; 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  

Artículos : Encontrados 21 registros   1 - 10siguientefinal  ir al registro:
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