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Articles, 7 records found
Articles 7 records found  
1.
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  
2.
17 p, 410.5 KB Convex central configurations of the 4-body problem with two pairs of equal masses / Fernandes, Antonio Carlos (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)
MacMillan and Bartky in 1932 proved that there is a unique isosceles trapezoid central configuration of the 4--body problem when two pairs of equal masses are located at adjacent vertices. After this result the following conjecture was well known between people working on central configurations: The isosceles trapezoid is the unique convex central configuration of the planar 4--body problem when two pairs of equal masses are located at adjacent vertices. [...]
2017 - 10.1007/s00205-017-1134-z
Archive for Rational Mechanics and Analysis, 2017  
3.
18 p, 599.5 KB When parallels and meridians are limit cycles for polynomial vector fields on quadrics of revolution in the euclidean 3-space / Dias, Fabio Scalco (Universidade Federal de Itajubá(Brazil). Instituto de Matemática e Computacâo) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mello, Luis Fernando (Universidade Federal de Itajubá(Brazil). Instituto de Matemática e Computacâo)
We study polynomial vector fields of arbitrary degree in R^3 with an invariant quadric of revolution. We characterize all the possible configurations of invariant meridians and parallels that these vector fields can exhibit. [...]
2016 - 10.1142/S0218127416501601
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 26 Núm. 9 (2016) , p. 1650160 (14 pages)  
4.
6 p, 508.3 KB Discussion on the limit cycles of the Lev Ginzburg equation by M. Bellamy and R.E. Mickens / Buzzi, Claudio (Universidade Estadual Paulista "Julio de Mesquita Filho". Departamento de Matemática) ; Donizete Euzébio, Rodrigo (Universidade Estadual Paulista "Julio de Mesquita Filho". Departamento de Matemática) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mello, Luis Fernando (Universidade Federal de Itajubá. Instituto de Ciências Exactas)
2012 - 10.1016/j.jsv.2012.07.008
Journal of Sound and Vibration, Vol. 331 (2012) , p. 5168-5170  
5.
18 p, 353.0 KB On the periodic orbits of perturbed Hooke Hamiltonian systems with three degrees of freedom / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mello, Luis Fernando (Universidade Federal de Itajubá(Brazil). Instituto de Ciências Exatas)
We study periodic orbits of Hamiltonian differential systems with three degrees of freedom using the averaging theory. We have chosen the classical integrable Hamiltonian system with the Hooke potential and we study periodic orbits which bifurcate from the periodic orbits of the integrable system perturbed with a non-autonomous potential.
2012 - 10.1016/j.geomphys.2011.12.017
Journal of geometry and physics, Vol. 62 (2012) , p. 1054-1063  
6.
14 p, 351.0 KB New stacked central configurations for the planar 5-body problem / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mello, Luis Fernando (Universidade Federal de Itajubá (Brasil). Instituto de Matemática e Computação) ; Pérez-Chavela, Ernesto (UAM-Iztapalapa. Departamento de Matemáticas)
2011 - 10.1007/s10569-011-9342-6
Celestial Mechanics & Dynamical Astronomy. An International Journal of Space Dynamics, Vol. 110 (2011) , p. 43-52  
7.
26 p, 200.7 KB Mean directionally curved lines on surfaces immersed in R4 / Mello, Luis Fernando
The notion of principal configuration of immersions of surfaces into R3, due to Sotomayor and Gutierrez [16] for lines of curvature and umbilics, is extended to that of mean directional configuration for immersed surfaces in R4. [...]
2003 - 10.5565/PUBLMAT_47203_06
Publicacions matemàtiques, V. 47 N. 2 (2003) , p. 415-440  

See also: similar author names
1 Mello, L. F.
1 Mello, Luane Marques de
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