Pàgina inicial > Resultats de la cerca: Poincare problem
  Consells de cerca
Cerca avançada
Cerca col·leccions:
Ordena'ls per: Mostrar els resultats: Format de visualizació:
Resultats globals: 8 registres trobats en 0.02 segons.
Articles, 8 registres trobats
Articles 8 registres trobats  
1.
28 p, 467.4 KB Invariant algebraic surfaces of polynomial vector fields in dimension three / Kruff, Niclas (Rheinisch-Westfälische Technische Hochschule Aachen. Lehrstuhl A für Mathematik) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pantazi, Chara (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Walcher, Sebastian (Rheinisch-Westfälische Technische Hochschule Aachen. Lehrstuhl A für Mathematik)
We discuss criteria for the nonexistence, existence and computation of invariant algebraic surfaces for three-dimensional complex polynomial vector fields, thus transferring a classical problem of Poincaré from dimension two to dimension three. [...]
2021 - 10.1007/s10884-021-10080-8
Journal of dynamics and differential equations, (October 2021)
2 documents
Registre complet - Creative Commons
2.
7 p, 977.8 KB Rational first integrals of the Liénard equations : The solution to the Poincaré problem for the Liénard equations / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pessoa, Claudio (Universidade Estadual Paulista. Departamento de Matemática) ; Ribeiro, Jarne D. (Instituto Federal de Educação, Ciência e Tecnologia do Sul de Minas Gerais)
Poincaré in 1891 asked about the necessary and sufficient conditions in order to characterize when a polynomial differential system in the plane has a rational first integral. Here we solve this question for the class of Liénard differential equations ẍ + f (x)ẋ + x = 0, being f (x) a polynomial of arbitrary degree. [...]
2021 - 10.1590/0001-3765202120191139
Anais da Academia Brasileira de Ciencias, Vol. 93, Issue 4 (2021) , p. e20191139
2 documents
Registre complet - Creative Commons
3.
25 p, 24.1 MB Approximate Analytical Periodic Solutions to the Restricted Three-Body Problem with Perturbation, Oblateness, Radiation and Varying Mass / Gao, Fabao (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Wang, Yongqing (Yangzhou University. School of Mathematical Science)
Against the background of a restricted three-body problem consisting of a supergiant eclipsing binary system, the two primaries are composed of a pair of bright oblate stars whose mass changes with time. [...]
2020 - 10.3390/universe6080110
Universe, Vol. 6, Núm. 8 (August 2020) , art. 110  
Registre complet - Creative Commons
4.
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 - 10.3934/dcds.2015.35.1767
Discrete and continuous dynamical systems. Series A, Vol. 35, Issue 5 (May 2015) , p. 1767-1800  
Registre complet -
5.
15 p, 853.0 KB Centers for the Kukles homogeneous systems with even degree / Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Departamento de Matemàtica)
2017 - 10.11948/2017093
Journal of applied analysis and computation, Vol. 7 Núm. 4 (2017) , p. 1534-1548  
Registre complet -
6.
25 p, 395.7 KB Symmetric periodic orbits for the collinear charged 3-body problem / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Tonon, Durval José. (University of Goiás (Brasil). Institute of Mathematics and Statistics of Federal)
In this paper we study the existence of periodic symmetric orbits of the 3-body problem when each body possess mass and an electric charge. The main technique applied in this study is the continuation method of Poincar\'e.
2017 - 10.1063/1.4974511
Journal of Mathematical Physics, Vol. 58 (2017) , p. 22702  
Registre complet -
7.
11 p, 598.6 KB Centers: their integrability and relations with the divergence / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
This is a brief survey on the centers of the analytic differential systems in R^2. First we consider the kind of integrability of the different types of centers, and after we analyze the focus--center problem, i. [...]
2016 - 10.21042/AMNS.2016.1.00007
Applied Mathematics and Nonlinear Sciences, Vol. 1 Núm. 1 (2016) , p. 79-86  
Registre complet -
8.
15 p, 445.0 KB Degree of the first integral of a pencil in defined by Lins Neto / Puchuri Medina, Liliana
Let P4 be the linear family of foliations of degree 4 in P2 introduced by A. Lins Neto, whose set of parameter withfirst integral Ip(P4) is dense and countable. In this work, we will compute explicitly the degree of the rationalfirst integral of the foliations in this linear family, as a function of the parameter.
2013 - 10.5565/PUBLMAT_57113_05
Publicacions matemàtiques, Vol. 57, Núm. 1 (2013) , p. 123-137  
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.
Dipòsit Digital de Documents de la UAB :: Cerca :: Lliura :: Personalitza :: Ajuda
Powered by Invenio v1.1.6
Mantingut per ddd.bib@uab.cat  :: Metadades subjectes a:
Col·laborem