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On the dynamics of the Bianchi IX system
(Iop Publishing Ltd, 2007-06-29)
In this paper, we study the flow on three invariant sets of dimension five for the classical Bianchi IX system. In these invariant sets, using the Darboux theory of integrability, we prove the non-existence of periodic ...
Laboratory experiments on the electrochemical remediation of the environment. Part 9: Microscale recovery of a soil metal pollutant and its extractant
(2007)
In this paper, the Feynman path integral technique is applied for superintegrable potentials on two-dimensional spaces of nonconstant curvature: these spaces are Darboux spaces D I and D II. On D I, there are three, and ...
Sobre formas normais para sistemas de Pfaff não-integráveis singulares
(Universidade Federal de Minas GeraisUFMG, 2017-11-09)
In this thesis we find some normal forms for non-integrable and singular Pfaff systems, such as Goursat systems, extended Goursat systems and for polynomials 1-forms and 2-forms of degrees 2 and 1, respectively. Finally, ...
Integrabilidade algébrica de folheações holomorfas e o problema de Poincaré
(Universidade Federal de Minas GeraisUFMG, 2010-05-28)
G. Darboux presented , in [32], a theory on the existence of first integrals for polynomial difierential equations based on the existence of suficiently many invariant algebraic hypersurfaces. Concomitantly H. Poincaré, ...
On the dynamics of the Bianchi IX system
(Iop Publishing Ltd, 2007-06-29)
In this paper, we study the flow on three invariant sets of dimension five for the classical Bianchi IX system. In these invariant sets, using the Darboux theory of integrability, we prove the non-existence of periodic ...
Hexagonal Geodesic 3-Webs
(Oxford Univ Press, 2021-08-01)
We prove that a surface carries a hexagonal 3-web of geodesics if and only if the geodesic flow on the surface admits a cubic 1st integral and show that the system of partial differential equations, governing metrics on ...
Path integral approach for superintegrable potentials on spaces of non-constant curvature: II. Darboux spaces DIII and DIV
(2004)
This article deals with the representations of foreign students who take part of exchange programs in Guadalajara, about themselves as performers of their own training process and about the learning environment as well. ...
Algebraic and qualitative remarks about the family yy′ = (αxm+k–1 + βxm–k–1)y + γx2m–2k–1
(De Gruyter, 2019)
The aim of this paper is the analysis, from algebraic point of view and singularities studies, of the 5-parametric family of differential equations
yy′=(αxm+k−1+βxm−k−1)y+γx2m−2k−1,y′=dydx
where a, b, c ∈ ℂ, m, k ∈ ℤ ...
Sobre distribuição e folheações holomorfas de codimensão maior do que um
(Universidade Federal de Minas GeraisUFMG, 2010-10-14)
Let w be a holomorphic LDS r-form on a complex manifold M. In the case M = Cn, we show that if ker(w) admits a trivial subbundle of rank k, then there exists a holomrphic LDS (r - k)-form n on Cn such that ! is the exterior ...
Análisis de estabilidad global de puntos de Nash en un modelo de oligopolio
(Universidad Michoacana de San Nicolás de Hidalgo, 2022-10)
The objective of this document was to identify if the equilibrium points in the Cournot oligopoly system are Nash points with global stability, this extends the result in the literature “The phase space structure of the ...