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Articles 14 registres trobats  1 - 10següent  anar al registre:
1.
Spatial convex but non-strictly convex double-pyramidal central configurations of the (2 n+ 2) -body problem / Corbera Subirana, Montserrat (Universitat de Vic - Universitat Central de Catalunya. Departament de Tecnologies Digitals i de la Informació) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
A configuration of the N bodies is convex if the convex hull of the positions of all the bodies in R³ does not contain in its interior any of these bodies. And a configuration is strictly convex if the convex hull of every subset of the N bodies is convex. [...]
2019 - 10.1007/s10884-019-09798-3
Journal of Dynamics and Differential Equations, 2019  
2.
7 p, 360.3 KB A note on a family of non-gravitational central force potentials in dimension one / Álvarez-Ramírez, Martha (Universidad Autónoma Metropolitana - Unidad Iztapalapa. Departamento de Matemáticas (México)) ; Corbera Subirana, Montserrat (Universitat de Vic - Universitat Central de Catalunya. Departament de Tecnologies Digitals i de la Informació) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; García, A. (Universidad Autónoma Metropolitana - Unidad Iztapalapa. Departamento de Matemáticas (México))
In this work, we study a one-parameter family of differential equations and the different scenarios that arise with the change of parameter. We remark that these are not bifurcations in the usual sense but a wider phenomenon related with changes of continuity or differentiability. [...]
2017 - 10.1016/j.aml.2017.04.020
Applied Mathematics Letters, Vol. 74 (December 2017) , p. 74-78  
3.
On centered co-circular central configurations of the n-body problem / Corbera Subirana, Montserrat (Universitat de Vic - Universitat Central de Catalunya) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
We study the co-circular central configurations of the n-body problem for which the center of mass and the center of the common circle coincide. In particular, we prove that there are no central configurations of this type with all the masses equal except one. [...]
2019 - 10.1007/s10884-018-9699-2
Journal of dynamics and differential equations, Vol. 31, Issue 4 (December 2019) , p. 2053-2060  
4.
Global phase portraits of ℤ2-symmetric planar polynomial Hamiltonian systems of degree three with a nilpotent saddle at the origin / Corbera Subirana, Montserrat (Universitat de Vic. Universitat Central de Catalunya) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
We characterize the phase portraits in the Poincaré disk of all planar polynomial Hamiltonian systems of degree three with a nilpotent saddle at the origin and ℤ2-symmetric with (x,y)→(-x,y).
2020 - 10.1142/S0218127420500066
International Journal of Bifurcation and Chaos, Vol. 30, Issue 1 (January 2020) , art. 2050006  
5.
31 p, 10.1 MB Trapezoid central configurations / Corbera Subirana, Montserrat (Universitat de Vic. Departament d'Enginyeries) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pérez-Chavela, Ernesto (UAM-Iztapalapa(México). Departamento de Matemáticas)
We classify all planar four-body central configurations where two pairs of the bodies are on parallel lines. Using cartesian coordinates, we show that the set of four-body trapezoid central configurations with positive masses forms a two-dimensional surface where two symmetric families, the rhombus and isosceles trapezoid, are on its boundary. [...]
2019 - 10.1016/j.amc.2018.10.066
Applied Mathematics and Computation, Vol. 346 (April 2019) , p. 127-142  
6.
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  
7.
8 p, 285.3 KB A Four-body convex central configuration with perpendicular diagonals is necessarily a kite / Corbera Subirana, Montserrat (Universitat de Vic. Departament d'Enginyeries) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Roberts, Gareth E. (College of the Holy Cross. Department of Mathematics and Computer Science)
We prove that any four-body convex central configuration with perpendicular diagonals must be a kite configuration. The result extends to general power-law potential functions, including the planar four-vortex problem.
2018 - 10.1007/s12346-017-0238-z
Qualitative theory of dynamical systems, Vol. 17, issue 2 (Jul. 2018) , p. 367-374  
8.
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  
9.
50 p, 625.7 KB Central configurations of the 4-body problem with masses m_1=m_2>m_3=m_4=m>0 and m small / Corbera Subirana, Montserrat (Universitat de Vic. Departament de Tecnologies Digitals i de la Informació) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we give a complete description of the families of central configurations of the planar 4-body problem with two pairs of equals masses and two equal masses sufficiently small. In particular, we give an analytical proof that this particular 4-body problem has exactly 34 different classes of central configurations. [...]
2014 - 10.1016/j.amc.2014.07.109
Applied Mathematics and Computation, Vol. 246 (2014) , p. 121-147  
10.
24 p, 448.9 KB Spatial bi-stacked central configurations formed by two dual regular polyhedra / Corbera Subirana, Montserrat (Universitat de Vic. Departament de Tecnologies Digitals i de la Informació) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pérez-Chavela, Ernesto (UAM-Iztapalapa(México). Departamento de Matemáticas)
In this paper we prove the existence of two new families of spatial stacked central configurations, one consisting of eight equal masses on the vertices of a cube and six equal masses on the vertices of a regular octahedron, and the other one consisting of twenty masses at the vertices of a regular dodecahedron and twelve masses at the vertices of a regular icosahedron. [...]
2014 - 10.1016/j.jmaa.2013.12.015
Journal of mathematical analysis and applications, Vol. 413 Núm. 2 (2014) , p. 648-659  

Articles : 14 registres trobats   1 - 10següent  anar al registre:
Llibres i col·leccions 1 registres trobats  
1.
5 p, 650.0 KB Bifurcations of the spatial central configurations in the 5-body problem / Álvarez-Ramírez, Martha (Universidad Autónoma Metropolitana - Unidad Iztapalapa. Departamento de Matemáticas (México)) ; Corbera Subirana, Montserrat (Universitat de Vic. Departament de Tecnologies Digitals i de la Informació) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
A configuration of n particles is called central when the acceleration vector of each particle is a common scalar multiple of its position vector. One of the reasons why central configurations are interesting is that they allow us to obtain explicit homographic solutions of the n-body problem, that is, motions where the configuration of the system changes size but keeps its shape. [...]
Cham, etc : Birkhäuser, cop. 2015 (Trends in mathematics. Research perspectives CRM Barcelona ; 4) - 10.1007/978-3-319-22129-8_2
Extended Abstracts Spring 2014, part 1- Hamiltonian Systems and Celestial Mechanics,, 2015, p. 9-15  

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