Articles

Articles 80 registres trobats  inicianterior71 - 80  anar al registre: La cerca s'ha fet en 0.01 segons. 
71.
34 p, 486.5 KB Bifurcation diagrams for Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields / Colak, Ilker (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
As a natural continuation of the work done in [7] we provide the bifurcation diagrams for the global phase portraits in the Poincaré disk of all the Hamiltonian linear type centers of linear plus cubic homogeneous planar polynomial vector fields.
2015 - 10.1016/j.jde.2014.10.006
Journal of differential equations, Vol. 258 (2015) , p. 846-879  
72.
34 p, 823.0 KB Limit cycles of cubic polynomial differential systems with rational first integrals of degree 2 / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Lopes, Bruno D. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; De Moraes, Jaime Rezende (IBILCE-UNESP (Brazil). Departamento de Matemática)
The main goal of this paper is to study the maximum number of limit cycles that bifurcate from the period annulus of the cubic centers that have a rational first integral of degree 2 when they are perturbed inside the class of all cubic polynomial differential systems using the averaging theory. [...]
2015 - 10.1016/j.amc.2014.11.029
Applied Mathematics and Computation, Vol. 250 (2015) , p. 887-907  
73.
25 p, 527.3 KB Non-integrability of measure preserving maps via Lie symmetries / Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III)
We consider the problem of characterizing, for certain natural number m, the local C^m-non-integrability near elliptic fixed points of smooth planar measure preserving maps. Our criterion relates this non-integrability with the existence of some Lie Symmetries associated to the maps, together with the study of the finiteness of its periodic points. [...]
2015 - 10.1016/j.jde.2015.06.019
Journal of differential equations, Vol. 259 (2015) , p. 5115-5136  
74.
60 p, 2.7 MB Global configurations of singularities for quadratic differential systems with exactly three finite singularities of total multiplicity four / Artés Ferragud, Joan Carles (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Schlomiuk, Dana (Université de Montréal. Département de Mathématiques et de Statistiques) ; Vulpe, Nicolae (Academy of Science of Moldova)
In this article we obtain the geometric classification of singularities, finite and infinite, for the two subclasses of quadratic differential systems with total finite multiplicity m_f=4 possessing exactly three finite singularities, namely: systems with one double real and two complex simple singularities (31 configurations) and (ii) systems with one double real and two simple real singularities (265 configurations). [...]
2015 - 10.14232/ejqtde.2015.1.49
Electronic Journal of Qualitative Theory of Differential Equations, Vol. 49 (2015) , p. 1-60  
75.
36 p, 338.1 KB Topological and polynomial invariants, moduli spaces, in classification problems of polynomial vector fields / Schlomiuk, Dana (Université de Montréal. Département de Mathématiques et de Statistique)
We describe the origin and evolution of ideas on topological and polynomial invariants and their interaction, in problems of classification of polynomial vector fields. The concept of moduli space is discussed in the last section and we indicate its value in understanding the dynamics of families of such systems. [...]
2014 - 10.5565/PUBLMAT_Extra14_23
Publicacions matemàtiques, Vol. Extra, Núm. (2014) , p. 461-496  
76.
20 p, 2.9 MB Integrable systems on S3 / Martínez-Alfaro, José (Universitat de València. Departament de Matemàtiques) ; Oliveira, Regilene (Universidade de São Paulo. Instituto de Ciências Matemáticas e de Computação)
We classify the links of basic periodic orbits of integrable vector fields on S3 generalizing results on two degree of freedom Hamiltonian systems. We also study the case of completely integrable systems and define invariants for the two classes of vector fields.
2014 - 10.5565/PUBLMAT_Extra14_18
Publicacions matemàtiques, Vol. Extra, Núm. (2014) , p. 333-352  
77.
13 p, 198.4 KB Darboux integrability for polynomial vector fields on the 2-dimensional sphere / Gutierrez, Carlos (Instituto de Matemática Pura e Aplicada (Rio de Janeiro, Brasil)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The paper is organized as follows. In section 2 we present a summary of the main results of the Darbouxian theory of integrability for the planar polynomial vector fields that we will extend to polynomial vector fields on the 2-dimensional sphere. [...]
2002
Extracta mathematicae, Vol. 17, Núm. 2 (2002) , p. 289-301  
78.
24 p, 265.5 KB Homogeneous polynomial vector fields of degree 2 on the 2-dimensional sphere / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pessoa, Claudio (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Universitat Autònoma de Barcelona. Departament de Matemàtiques
Let X be a homogeneous polynomial vector field of degree 2 on S2 having finitely many invariant circles. Then, we prove that each invariant circle is a great circle of S2, and at most there are two invariant circles. [...]
2006
Extracta mathematicae, Vol. 21, Núm. 2 (2006) , p. 167-190  
79.
16 p, 174.0 KB Normalization of Poincaré singularities via variation of constants / Carletti, Timoteo ; Margheri, Alessandro ; Villarini, Massimo
We present a geometric proof of the Poincaré-Dulac Normalization Theorem for analytic vector fields with singularities of Poincaré type. Our approach allows us to relate the size of the convergence domain of the linearizing transformation to the geometry of the complex foliation associated to the vector field. [...]
2005 - 10.5565/PUBLMAT_49105_09
Publicacions matemàtiques, V. 49 N. 1 (2005) , p. 197-212  
80.
12 p, 139.3 KB Counting fixed points of a finitely generated subgroup of Aff[C] / Loray, Frank ; Van der Put, M. ; Recher, F.
Given a finitely generated subgroup G of the group of affine transformations acting on the complex line C, we are interested in the quotient Fix(G)/G. The purpose of this note is to establish when this quotient is finite and in this case its cardinality. [...]
2004 - 10.5565/PUBLMAT_48104_06
Publicacions matemàtiques, V. 48 N. 1 (2004) , p. 127-137  

Articles : 80 registres trobats   inicianterior71 - 80  anar al registre:
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