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No s'ha trobat cap coincidència exacta per n–body, però canviant-lo per n body...
Resultats globals: 15 registres trobats en 0.14 segons.
Articles, 15 registres trobats
Articles 15 registres trobats  1 - 10següent  anar al registre:
1.
36 p, 1.9 MB On the existence of symmetric bicircular central configurations of the 3n-body problem / Corbera Subirana, Montserrat (Universitat de Vic - Universitat Central de Catalunya) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
In this paper, we consider central configurations of the planar 3n-body problem consisting of n masses at the vertices of a regular n-gon inscribed in a circle of radius r and 2n masses at the vertices of a second (not necessarily regular) concentric 2n-gon inscribed in a circle of radius ar which are symmetric in the sense that the set of positions of the 3n masses and the set of the corresponding masses are invariant under the action of a finite subgroup of O(2). [...]
2021 - 10.1007/s00332-021-09743-z
Journal of Nonlinear Science, Vol. 31, Issue 6 (December 2021) , art. 88  
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2.
28 p, 1.7 MB Classifying four-body convex central configurations / Corbera Subirana, Montserrat (Universitat de Vic. Departament de Tecnologies Digitals i de la Informació) ; 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 (USA))
We classify the full set of convex central configurations in the Newtonian planar four-body problem. Particular attention is given to configurations possessing some type of symmetry or defining geometric property. [...]
2019 - 10.1007/s10569-019-9911-7
Celestial Mechanics and Dynamical Astronomy, Vol. 131, Issue 7 (July 2019) , art. 34  
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3.
11 p, 408.2 KB On the central configurations of the n-body problem / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We present a brief survey on some classes of central configurations of the n-body problem. We put special emphasis on the central configurations of the 1+n-body problem also called the coorbital satellite problem, and on the nested central configurations formed by either regular n-gons, or regular polyhedra. [...]
2017 - 10.21042/AMNS.2017.2.00042
Applied Mathematics and Nonlinear Sciences, Vol. 2, Issue 2 (2017) , p. 509-518
2 documents
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4.
13 p, 252.7 KB On strictly convex central configurations of the 2n-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)
We consider planar central configurations of the Newtonian 2n-body problem consisting in two twisted regular n-gons of equal masses. We prove the conjecture that for n≥ 5 all convex central configurations of two twisted regular n-gons are strictly convex.
2019 - 10.1007/s10884-018-9708-5
Journal of dynamics and differential equations, Vol. 31, Issue 4 (December 2019) , p. 2293-2304  
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5.
8 p, 240.0 KB 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  
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6.
15 p, 488.5 KB On central configurations of the κn-body problem / Barrabés Vera, Esther (Universitat de Girona) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya)
We consider planar central configurations of the Newtonian κn-body problem consisting in κ groups of regular n-gons of equal masses, called (κ,n)-crown. We derive the equations of central configurations for a general (κ,n)-crown. [...]
2019 - 10.1016/j.jmaa.2019.04.010
Journal of mathematical analysis and applications, Vol. 476, Núm. 2 (August 2019) , p. 720-736  
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7.
12 p, 336.3 KB New central configurations of the (n+1)-body problem / Fernandes, Antonio Carlos (Universidade Federal de Itajubá (Brasil). Instituto de Matemática e Computação) ; Garcia, Braulio Augusto (Universidade Federal de Itajubá (Brasil). Instituto de Matemática e Computação) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mello, Luis Fernando (Universidade Federal de Itajubá (Brasil). Instituto de Matemática e Computação)
In this article we study central configurations of the (n+1)-body problem. For the planar (n+1)-body problem we study central configurations performed by ≥2 bodies with equal masses at the vertices of a regular n--gon and one body with null mass. [...]
2018 - 10.1016/j.geomphys.2017.11.003
Journal of geometry and physics, Vol. 124 (Jan. 2018) , p. 199-207  
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8.
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  
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9.
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  
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10.
9 p, 245.8 KB Uniqueness results for co-circular central configurations for power-law potentials / Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III) ; Hall, Glen Richard (Boston University. Department of Mathematics and Statistics) ; Roberts, Gareth E. (College of the Holy Cross. Dept. of Mathematics and Computer Science)
For a class of potential functions including those used for the planar n-body and n-vortex problems, we investigate co-circular central configurations whose center of mass coincides with the center of the circle containing the bodies. [...]
2014 - 10.1016/j.physd.2014.05.003
Physica D. Nonlinear phenomena, Vol. 280-281 (2014) , p. 44-47  
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Articles : 15 registres trobats   1 - 10següent  anar al registre:
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