Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Alberto Reyes Linero"'
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:
Journal of Southwest Jiaotong University. 55
The goal of this article is to conduct a global dynamics study of a linear multiparameter system (real parameters (a,b,c) in R^3); for this, we take the different changes that these parameters present. First, we find the different parametric surfaces
Publikováno v:
Open Mathematics
Vol. 17, Issue 1 (2019)
Guckenheimer J., Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, Springer-Verlag New York, 1983.
Guckenheimer J., Hoffman K., Weckesser W., The forced Van der Pol equation I: The slow flow and its bifurcations, SIAM J. Applied Dynamical Systems, 2003, 2, 1–35.
Kapitaniak T., Chaos for Engineers: Theory, Applications and Control, Springer, Berlin, Germany, 1998.
Nagumo J., Arimoto S., Yoshizawa S., An active pulse transmission line simulating nerve axon, Proc. IRE, 1962, 50, 2061– 2070.
Nemytskii V.V., Stepanov V.V., Qualitative Theory of Differential Equations, Princeton University Press, Princeton, 1960.
Perko L., Differential equations and Dynamical systems, Third Edition, Springer-Verlag New York, Inc, 2001.
Van der Pol B., Van der Mark J., Frequency demultiplication, Nature, 1927, 120, 363–364.
Acosta-Humánez P.B., La Teoría de Morales-Ramis y el Algoritmode Kovacic, LecturasMatemáticas, Volumen Especial, 2006, 21–56.
Acosta-Humánez P.B., Pantazi Ch., Darboux Integrals for Schrodinger Planar Vector Fields via Darboux Transformations, SIGMA Symmetry Integrability Geom. Methods Appl., 2012, 8, 043, arXiv:1111.0120.
Morales-Ruiz J., Differential Galois Theory and Non-Integrability of Hamiltonian Systems, Birkhäuser, Basel, 1999.
Van der Put M., Singer M., Galois Theory in Linear Differential Equations, Springer-Verlag New York, 2003.
Weil J.A., Constant et polynómes de Darboux en algèbre différentielle: applications aux systèmes différentiels linéaires, Doctoral thesis, 1995.
Acosta-Humánez P.B., Galoisian Approach to Supersymmetric Quantum Mechanics, PhD Thesis, Barcelona, 2009, arXiv:0906.3532.
Acosta-Humánez P.B., Blázquez-Sanz D., Non-integrability of some Hamiltonians with rational potentials, Discrete Contin. Dyn. Syst. Ser. B, 2008, 10, 265–293.
Acosta-Humánez P., Morales-Ruiz J., Weil J.-A., Galoisian approach to integrability of Schrödinger Equation, Rep. Math. Phys., 2011, 67(3), 305–374.
Polyanin A.D., Zaitsev V.F., Handbook of exact solutions for ordinary differential equations, Second Edition, Chapman and Hall, Boca Raton, 2003.
Acosta-Humánez P.B., Lázaro J.T., Morales-Ruiz J.J., Pantazi Ch., On the integrability of polynomial fields in the plane by means of Picard-Vessiot theory, Discrete Contin. Dyn. Syst., 2015, 35(5), 1767–1800.
Drumortier F., Llibre J., Artés J.C., Qualitative theory of planar differential systems, Springer-Verlag Berlin Heidelberg, 2006.
Acosta-Humánez P.B., Perez J., Teoría de Galois diferencial: una aproximación, Matemáticas: Enseãnza Universitaria, 2007, 91–102.
Acosta-Humánez P.B., Perez J., Una introducción teoría de Galois diferencial, Boletín deMatemáticas Nueva Serie, 2004, 11, 138–149.
Repositorio Digital USB
Universidad Simón Bolívar
instacron:Universidad Simón Bolívar
Open Mathematics, Vol 17, Iss 1, Pp 1220-1238 (2019)
Vol. 17, Issue 1 (2019)
Guckenheimer J., Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, Springer-Verlag New York, 1983.
Guckenheimer J., Hoffman K., Weckesser W., The forced Van der Pol equation I: The slow flow and its bifurcations, SIAM J. Applied Dynamical Systems, 2003, 2, 1–35.
Kapitaniak T., Chaos for Engineers: Theory, Applications and Control, Springer, Berlin, Germany, 1998.
Nagumo J., Arimoto S., Yoshizawa S., An active pulse transmission line simulating nerve axon, Proc. IRE, 1962, 50, 2061– 2070.
Nemytskii V.V., Stepanov V.V., Qualitative Theory of Differential Equations, Princeton University Press, Princeton, 1960.
Perko L., Differential equations and Dynamical systems, Third Edition, Springer-Verlag New York, Inc, 2001.
Van der Pol B., Van der Mark J., Frequency demultiplication, Nature, 1927, 120, 363–364.
Acosta-Humánez P.B., La Teoría de Morales-Ramis y el Algoritmode Kovacic, LecturasMatemáticas, Volumen Especial, 2006, 21–56.
Acosta-Humánez P.B., Pantazi Ch., Darboux Integrals for Schrodinger Planar Vector Fields via Darboux Transformations, SIGMA Symmetry Integrability Geom. Methods Appl., 2012, 8, 043, arXiv:1111.0120.
Morales-Ruiz J., Differential Galois Theory and Non-Integrability of Hamiltonian Systems, Birkhäuser, Basel, 1999.
Van der Put M., Singer M., Galois Theory in Linear Differential Equations, Springer-Verlag New York, 2003.
Weil J.A., Constant et polynómes de Darboux en algèbre différentielle: applications aux systèmes différentiels linéaires, Doctoral thesis, 1995.
Acosta-Humánez P.B., Galoisian Approach to Supersymmetric Quantum Mechanics, PhD Thesis, Barcelona, 2009, arXiv:0906.3532.
Acosta-Humánez P.B., Blázquez-Sanz D., Non-integrability of some Hamiltonians with rational potentials, Discrete Contin. Dyn. Syst. Ser. B, 2008, 10, 265–293.
Acosta-Humánez P., Morales-Ruiz J., Weil J.-A., Galoisian approach to integrability of Schrödinger Equation, Rep. Math. Phys., 2011, 67(3), 305–374.
Polyanin A.D., Zaitsev V.F., Handbook of exact solutions for ordinary differential equations, Second Edition, Chapman and Hall, Boca Raton, 2003.
Acosta-Humánez P.B., Lázaro J.T., Morales-Ruiz J.J., Pantazi Ch., On the integrability of polynomial fields in the plane by means of Picard-Vessiot theory, Discrete Contin. Dyn. Syst., 2015, 35(5), 1767–1800.
Drumortier F., Llibre J., Artés J.C., Qualitative theory of planar differential systems, Springer-Verlag Berlin Heidelberg, 2006.
Acosta-Humánez P.B., Perez J., Teoría de Galois diferencial: una aproximación, Matemáticas: Enseãnza Universitaria, 2007, 91–102.
Acosta-Humánez P.B., Perez J., Una introducción teoría de Galois diferencial, Boletín deMatemáticas Nueva Serie, 2004, 11, 138–149.
Repositorio Digital USB
Universidad Simón Bolívar
instacron:Universidad Simón Bolívar
Open Mathematics, Vol 17, Iss 1, Pp 1220-1238 (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 $$\begin{array}{} \displaystyle yy'=(\alpha x^{m+k-1}+\beta x^{m-k-1})y+\gamma x^{2m-2k-1}, \quad y'=\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b07b2a0565b27f65dd9a024fc783910
Publikováno v:
Open Mathematics, Vol 16, Iss 1, Pp 1204-1217 (2018)
The analysis of dynamical systems has been a topic of great interest for researches mathematical sciences for a long times. The implementation of several devices and tools have been useful in the finding of solutions as well to describe common behavi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b9d514809d8a221d0e231269d7d6ac62