Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Primitivo B. Acosta-Humánez"'
Publikováno v:
Bulletin of Computational Applied Mathematics, Vol 9, Iss 2, Pp 59-75 (2021)
This paper is concerned with the polynomial integrability of the two-dimensional Hamiltonian systems associated to complex homogeneous polynomial potentials of degree k of type $V_{k,l}=\alpha (q_2-i q_1)^l (q_2+iq_1)^{k-l}$ with $\alpha$ in C and l=
Externí odkaz:
https://doaj.org/article/c3d7834c009a4c23a2343547a1ee529d
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 8, p 043 (2012)
In this paper we study the Darboux transformations of planar vector fields of Schrödinger type. Using the isogaloisian property of Darboux transformation we prove the ''invariance'' of the objects of the ''Darboux theory of integrability''. In parti
Externí odkaz:
https://doaj.org/article/4df47e1e16cb41adb1a20d5c8fdfcbbc
Publikováno v:
São Paulo Journal of Mathematical Sciences.
This paper is devoted to a complete parametric study of Liouvillian solutions of the general trace-free second order differential equation with a Laurent polynomial coefficient. This family of equations, for fixed orders at $0$ and $\infty$ of the La
Publikováno v:
The European Physical Journal Plus. 137
Publikováno v:
Nonlinearity. 33:1366-1387
Codimension-two bifurcations are fundamental and interesting phenomena in dynamical systems. Fold-Hopf and double-Hopf bifurcations are the most important among them. We study the unfoldings of these two codimension-two bifurcations, and obtain suffi
Autor:
Primitivo B. Acosta Humánez, Jorge Rodríguez Contreras, Alberto Reyes Linero, Bladimir Blanco Montes
This article reveals an analysis of the quadratic systems that hold multiparametric families therefore, in the first instance the quadratic systems are identified and classified in order to facilitate their study and then the stability of the critica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b6b1c67b2d638b5d99ae0df97219624f
http://arxiv.org/abs/2103.02773
http://arxiv.org/abs/2103.02773
Dynamical and algebraic analysis of planar polynomial vector fields linked to orthogonal polynomials
Autor:
Primitivo B. Acosta-Humánez, Alberto Reyes Linero, Contreras Rodríguez Contreras, Maria Campo Donado
Publikováno v:
JOURNAL OF SOUTHWEST JIAOTONG UNIVERSITY
Vol. 55 No. 4, (2020)
Repositorio Digital USB
Universidad Simón Bolívar
instacron:Universidad Simón Bolívar
Vol. 55 No. 4, (2020)
Repositorio Digital USB
Universidad Simón Bolívar
instacron:Universidad Simón Bolívar
In the present work, our goal is to establish a study of some families of quadratic polynomial vector fields connected to orthogonal polynomials that relate, via two different points of view, the qualitative and the algebraic ones. We extend those re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e486b1f267aa219d86d61b95c0edd0b7
http://www.jsju.org/index.php/journal/article/view/674
http://www.jsju.org/index.php/journal/article/view/674
Publikováno v:
Vol. 17, No.1 (2018)
Revista SIAM
Repositorio Digital USB
Universidad Simón Bolívar
instacron:Universidad Simón Bolívar
Revista SIAM
Repositorio Digital USB
Universidad Simón Bolívar
instacron:Universidad Simón Bolívar
We show the non-integrability of the three-parameter Armburster-Guckenheimer-Kim quartic Hamiltonian using Morales-Ramis theory, with the exception of the three already known integrable cases. We use Poincar\'e sections to illustrate the breakdown of
Publikováno v:
São Paulo Journal of Mathematical Sciences
Repositorio Digital USB
Universidad Simón Bolívar
instacron:Universidad Simón Bolívar
Repositorio Digital USB
Universidad Simón Bolívar
instacron:Universidad Simón Bolívar
In this paper we present an algebraic study concerning the general second order linear differential equation with polynomial coefficients. By means of Kovacic's algorithm and asymptotic iteration method we find a degree independent algebraic descript
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5546e2e3a275c2a0f8fc12a50eb28288
http://arxiv.org/abs/1908.07666
http://arxiv.org/abs/1908.07666
Publikováno v:
Journal of Physics: Conference Series
Vol. 1414 No. 1 (2019). 5th International Week of Science, Technology & Innovation
Repositorio Digital USB
Universidad Simón Bolívar
instacron:Universidad Simón Bolívar
Vol. 1414 No. 1 (2019). 5th International Week of Science, Technology & Innovation
Repositorio Digital USB
Universidad Simón Bolívar
instacron:Universidad Simón Bolívar
In this paper we present a short material concerning to some results in Morales-Ramis theory, which relates two different notions of integrability: Integrability of Hamiltonian systems through Liouville Arnold theorem and integrability of linear diff
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f06a02b8f9ffc08d6443c6b1a260b1c5
https://hdl.handle.net/20.500.12442/4487
https://hdl.handle.net/20.500.12442/4487