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Resultats globals: 6 registres trobats en 0.02 segons.
Articles, 6 registres trobats
Articles 6 registres trobats  
1.
13 p, 309.6 KB Bicentric quadrilateral central configurations / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Yuan, Pengfei (Southwest University. School of Mathematics and Statistics (China))
A bicentric quadrilateral is a tangential cyclic quadrilateral. In a tangential quadrilateral, the four sides are tangents to an inscribed circle, and in a cyclic quadrilateral the four vertices lie on a circumscribed circle. [...]
2019 - 10.1016/j.amc.2019.06.021
Applied Mathematics and Computation, Vol. 362 (December 2019) , art. 124507  
Registre complet - Creative Commons
2.
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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3.
10 p, 419.0 KB A family of stacked central configurations in the planar five-body problem / Cornelio, J. Lino (Universidad Juárez Autónoma de Tabasco (Mèxic). División Académica de Ciencias Básicas) ; Álvarez-Ramírez, Martha (Universidad Autónoma Metropolitana-Iztapalapa (Mèxic). Departamento de Matemáticas) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
We study planar central configurations of the five-body problem where three bodies, m1,m2 and m3, are collinear and ordered from left to right, while the other two, m4 and m5, are placed symmetrically with respect to the line containing the three collinear bodies. [...]
2017 - 10.1007/s10569-017-9782-8
Celestial Mechanics and Dynamical Astronomy, Vol. 129, Issue 3 (November 2017) , p. 321-328  
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4.
13 p, 466.8 KB Equilic quadrilateral central configurations / Álvarez-Ramírez, Martha (Universidad Autónoma Metropolitana-Iztapalapa (Mèxic). Departamento de Matemáticas) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
An equilic quadrilateral is a quadrilateral with one pair of opposite sides having the same length, which has angles of inclination whose sum is 2π/3. We characterize the central configurations of the 4-body problem whose four positive masses are at the vertices of equilic quadrilaterals.
2019 - 10.1016/j.cnsns.2019.104872
Communications in nonlinear science and numerical simulation, Vol. 78 (November 2019) , art. 104872  
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5.
16 p, 431.6 KB Rational parameterizations approach for solving equations in some dynamical systems problems / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Lázaro, J. Tomás (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We show how the use of rational parameterizations facilitates the study of the number of solutions of many systems of equations involving polynomials and square roots of polynomials. We illustrate the effectiveness of this approach, applying it to several problems appearing in the study of some dynamical systems. [...]
2019 - 10.1007/s12346-018-0300-5
Qualitative theory of dynamical systems, Vol. 18, Issue 2 (August 2019) , p. 583-602  
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6.
10 p, 418.4 KB A special family of stacked central configurations : lagrange plus euler in one / Cornelio, J. Lino (Universidad Juárez Autónoma de Tabasco (Mèxic). División Académica de Ciencias Básicas) ; Álvarez-Ramírez, Martha (Universidad Autónoma Metropolitana-Iztapalapa (Mèxic). Departamento de Matemáticas) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
We show the existence of a family of stacked central configurations in the planar five-body problem with a special property. Three bodies m1 , m2 and m3 , ordered from left to right, are collinear and form an Euler central configuration, and the other two bodies m4 and m5 , together with m2 are at the vertices of an equilateral triangle and form a Lagrange central configuration.
2019 - 10.1007/s10884-018-9647-1
Journal of dynamics and differential equations, Vol. 31, Issue 2 (June 2019) , p. 711-718  
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