Darboux theory of Integrability - Resultats de la cerca - Dipòsit Digital de Documents de la UAB

Cerca col·leccions:

Ordena'ls per:	Mostrar els resultats:	Format de visualizació:

Resultats globals: 5 registres trobats en 0.04 segons.
Articles, 5 registres trobats

Articles	5 registres trobats

21 p, 420.4 KB

Integrability and limit cycles via first integrals / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In many problems appearing in applied mathematics in the nonlinear ordinary differential systems, as in physics, chemist, economics, etc. , if we have a differential system on a manifold of dimension, two of them having a first integral, then its phase portrait is completely determined. [...]
2021 - DOI (Digital Object Identifier)

10.3390/sym13091736
Symmetry, Vol. 13, Issue 9 (September 2021) , art. 1736

Registre complet -

8 p, 319.1 KB

Invariant curves and integrability of planar Cr differential systems / Ferragut Amengual, Antoni Manel (Universitat Jaume I. Institut Universitari de Matemàtiques i Aplicacions de Castelló) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We improve the known expressions of the Cr differential systems in the plane having a given Cr+1 invariant curve, or a given Cr+1 first integral. Their application to polynomial differential systems having either an invariant algebraic curve, or a first integral, also improves the known results on such systems.
2018 - DOI (Digital Object Identifier)

10.1216/RMJ-2018-48-5-1537
The Rocky Mountain Journal of Mathematics, Vol. 48, Issue 5 (2018) , p. 1537-1550

Registre complet -

32 p, 490.7 KB

On the integrability of polynomial vector fields in the plane by means of Picard-Vessiot theory / Acosta-Humánez, Primitivo B. (Universidad del Atlántico and Intelectual.Co. Department of Mathematics (Colombia)) ; Lázaro, J. Tomás (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I) ; Morales Ruiz, Juan J. (Universidad Politécnica de Madrid. Departamento de Matemática Aplicada) ; Pantazi, Chara (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I)
We study the integrability of polynomial vector fields using Galois theory of linear differential equations when the associated foliations is reduced to a Riccati type foliation. In particular we obtain integrability results for some families of quadratic vector fields, Liénard equations and equations related with special functions such as Hypergeometric and Heun ones. [...]
2015 - DOI (Digital Object Identifier)

10.3934/dcds.2015.35.1767
Discrete and continuous dynamical systems. Series A, Vol. 35, Issue 5 (May 2015) , p. 1767-1800

Registre complet -

38 p, 776.1 KB

Darboux Integrals for Schrödinger planar vector fields via Darboux transformations / Acosta-Humánez, Primitivo B. (Universidad del Norte (Colombia). Departamento de Matemáticas y Estadística) ; Pantazi, Chara (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I)
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 elements of the "Darboux Theory of Integrability". [...]
2012
SIGMA. Symmetry, Integrability and Geometry. Methods and Applications, Vol. 8 (2012) , p. 26 pages

Registre complet -

8 p, 335.6 KB

On the planar integrable differential systems / Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Under very general assumptions we prove that the planar differential systems having a first integral are essentially the linear differential systems u˙ = u, ˙v = v. Additionally such systems always have a Lie symmetry. [...]
2011 - DOI (Digital Object Identifier)

10.1007/s00033-011-0116-5
ZAMP. Journal of Applied Mathematics and Physics, Vol. 62 Núm. 4 (2011) , p. 567-574

Registre complet -

Us interessa rebre alertes sobre nous resultats d'aquesta cerca?
Definiu una alerta personal via correu electrònic o subscribiu-vos al canal RSS.