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Articles, 23 records found
Books and collections, 1 records found
Articles 23 records found  1 - 10nextend  jump to record:
1.
20 p, 971.1 KB Planar central configurations of some restricted (4 + 1)-body problems / Corbera Subirana, Montserrat (Universitat de Vic - Universitat Central de Catalunya. Departament d'Enginyeries) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
We start with the 13 central configurations of the restricted (4 + 1) body problem having four primaries with equal masses at the vertices of a square. Then, we describe the evolution of these central configurations when some of the masses of the four primaries tend to zero and the remainder ones keep constant. [...]
2022 - 10.1063/5.0091642
Journal of Mathematical Physics, Vol. 63, Issue 12 (December 2022) , art. 122901  
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2.
22 p, 1.8 MB Configuration of zeros of isochronous vector fields of degree 5 / Avila, Julio Cesar (Tecnologico de Monterrey (Mexico)) ; Corbera Subirana, Montserrat (Universitat de Vic - Universitat Central de Catalunya. Departament d'Enginyeries) ; Frías-Armenta, Martín Eduardo (Universidad de Sonora. Departamento de Matemáticas (Mexico))
In this paper, we give the algebraic conditions that a configuration of 5 points in the plane must satisfy in order to be the configuration of zeros of a polynomial isochronous vector field. We use the obtained results to analyze configurations having some of its zeros satisfying some particular geometric conditions.
2021 - 10.1155/2021/6227955
Complexity, Vol. 2021 (November 2021) , art 6227955
2 documents
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3.
Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields / Corbera Subirana, Montserrat (Universitat de Vic - Universitat Central de Catalunya) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
We completely characterize the global phase portraits in the Poincaré disk for all planar Hamiltonian vector fields with linear plus cubic homogeneous terms having a nilpotent saddle at the origin.
2022 - 10.1016/j.nonrwa.2021.103451
Nonlinear Analysis: Real World Applications, Vol. 64 (April 2022) , art. 103451  
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4.
26 p, 545.3 KB On the central configurations in the spatial 5-body problem with four equal masses / Álvarez-Ramírez, Martha (Universidad Autónoma Metropolitana-Iztapalapa (Mèxic). Departamento de Matemáticas) ; 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)
We analyze the families of central configurations of the spatial 5-body problem with four masses equal to 1 when the fifth mass m varies from 0 to (Formula presented. ). In particular we continue numerically, taking m as a parameter, the central configurations (which all are symmetric) of the restricted spatial ((Formula presented. [...]
2016 - 10.1007/s10569-015-9670-z
Celestial Mechanics and Dynamical Astronomy, Vol. 124, Issue 4 (April 2016) , p. 433-456  
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5.
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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6.
25 p, 954.3 KB Polynomial Hamiltonian systems of degree 3 with nilpotent saddles / Corbera Subirana, Montserrat (Universitat de Vic - Universitat Central de Catalunya) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica (Portugal))
We provide normal forms and the global phase portraits in the Poincaré disk for all Hamiltonian planar polynomial vector fields of degree 3 symmetric with respect to the x−axis having a nilpotent saddle at the origin.
2021 - 10.3934/dcdsb.2020225
Discrete and continuous dynamical systems. Series B, Vol. 26, Issue 6 (June 2021) , p. 3209-3233  
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7.
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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8.
17 p, 394.2 KB Nilpotent saddles of linear plus cubic homogeneous polynomial reversible vector fields / Corbera Subirana, Montserrat (Universitat de Vic - Universitat Central de Catalunya) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica (Portugal))
We provide normal forms and the global phase portraits in the Poincaré disk for all planar polynomial vector fields of the form lineal plus cubic homogeneous that are symmetric with respect to the x-axis or to the y-axis and having a nilpotent saddle at the origin.
2020 - 10.1016/j.bulsci.2020.102873
Bulletin des Sciences Mathematiques, Vol. 162 (September 2020) , art. 102873  
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9.
29 p, 827.1 KB On the convex central configurations of the symmetric (ℓ + 2)-body problem / Corbera Subirana, Montserrat (Universitat de Vic. Departament d'Enginyeries) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Yuan, Pengfei (Southwest University. School of Mathematics and Statistics (China))
For the 4-body problem there is the following conjecture: Given arbitrary positive masses, the planar 4-body problem has a unique convex central configuration for each ordering of the masses on its convex hull. [...]
2020 - 10.1134/S1560354720030028
Regular and Chaotic Dynamics, Vol. 25, Issue 3 (May 2020) , p. 250-272  
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10.
25 p, 331.3 KB Spatial convex but non-strictly convex double-pyramidal central configurations of the (2n+ 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, Vol. 32, Issue 4 (December 2020) , p. 1965-1982  
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Articles : 23 records found   1 - 10nextend  jump to record:
Books and collections 1 records found  
1.
5 p, 650.0 KB Bifurcations of the spatial central configurations in the 5-body problem / Álvarez-Ramírez, Martha (Universidad Autónoma Metropolitana-Iztapalapa (Mèxic). Departamento de Matemáticas) ; 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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