Resultats globals: 6 registres trobats en 0.02 segons.
Articles, 6 registres trobats
Articles 6 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  
2.
13 p, 678.3 KB On the Darboux integrability of the logarithmic galactic potentials / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática)
We study the logarithmic Hamiltonians H=(p +p )∕2+log(1+x+y∕q), which appear in the study of the galactic dynamics. We characterize all the invariant algebraic hypersurfaces and all exponential factors of the Hamiltonian system with Hamiltonian H. [...]
2017 - 10.1016/j.geomphys.2017.07.019
Journal of geometry and physics, Vol. 121 (November 2017) , p. 279-287  
3.
33 p, 10.7 MB Periodic orbits of perturbed non-axially symmetric potentials in 1:1:1 and 1:1:2 resonances / Corbera Subirana, Montserrat (Universitat de Vic. Departament d'Enginyeries) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
2018 - 10.3934/dcdsb.2018101
Discrete and continuous dynamical systems. Series B, Vol. 23, issue 6 (Aug. 2018) , p. 2299-2337  
4.
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  
5.
23 p, 689.0 KB Periodic motion in perturbed elliptic oscillators revisited / Corbera Subirana, Montserrat (Universitat de Vic. Departament de Tecnologies Digitals i de la Informació) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
We analytically study the Hamiltonian system in R^4 with Hamiltonian H= 12 (p_x^2 p_y^2) 12 (_1^2 x^2 _2^2 y^2)- V_1(x,y) being (a) V_1(x,y)=-(xy^2 ax^3) and (b) V_1(x,y)=-(x^2y ax^3) with aR, where is a small parameter and _1 and _2 are the unperturbed frequencies of the oscillations along the x and y axis, respectively. [...]
2016 - 10.1007/s10509-016-2927-5
Astrophysics and Space Science. An International Journal of Astronomy, Astrophysics and Space Science, Vol. 361:348 (2016) , p. 1-8  
6.
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  

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