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Articles, 80 registres trobats
Articles 80 registres trobats  1 - 10següentfinal  anar al registre:
1.
Critical periods in planar polynomial centers near a maximum number of cusps / De Maesschalck, Peter (Hasselt University) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We provide the best lower bound for the number of critical periods of planar polynomial centers known up to now. The new lower bound is obtained in the Hamiltonian class and considering a single period annulus. [...]
2024 - 10.1016/j.jde.2023.10.034
Journal of differential equations, Vol. 380 (January 2024) , p. 181-197  
2.
14 p, 299.9 KB A note on transport equation in quasiconformally invariant spaces / Clop, Albert (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Jiang, Renjin (Beijing Normal University) ; Mateu Bennassar, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Orobitg i Huguet, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this note, we study the well-posedness of the Cauchy problem for the transport equation in the BMO space and certain Triebel-Lizorkin spaces.
2018 - 10.1515/acv-2016-0003
Advances in Calculus of Variations, Vol. 11, Issue 2 (April 2018) , p. 193-202  
3.
44 p, 662.1 KB Holomorphic vector fields with a barycentric condition / Cerveau, Dominique (Université de Rennes 1) ; Déserti, Julie (Université d'Orléans) ; Lins Neto, Alcides (Instituto de Matemática Pura Aplicada (Brasil))
We study the p-tuples of holomorphic vector fields (X1, X2, . . . , Xp) satisfying the barycentric property Pk exp tXk = p · id, where exp tX denotes the flow of X.
2024 - 10.5565/PUBLMAT6812413
Publicacions matemàtiques, Vol. 68 Núm. 1 (2024) , p. 287-330 (Articles)  
4.
18 p, 772.0 KB Phase Portraits of Families VII and VIII of the Quadratic Systems / Cairó, Laurent (Université d'Orleans. Institut Denis Poisson) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The quadratic polynomial differential systems in a plane are the easiest nonlinear differential systems. They have been studied intensively due to their nonlinearity and the large number of applications. [...]
2023 - 10.3390/axioms12080756
Axioms, Vol. 12, Issue 8 (August 2023) , art. 756  
5.
11 p, 281.1 KB Cyclicity Near Infinity in Piecewise Linear Vector Fields Having a Nonregular Switching Line / Bastos, Jefferson L. R. (Universidade Estadual Paulista. Departamento de Matemática) ; Buzzi, Claudio (Universidade Estadual Paulista. Departamento de Matemática) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we recover the best lower bound for the number of limit cycles in the planar piecewise linear class when one vector field is defined in the first quadrant and a second one in the others. [...]
2023 - 10.1007/s12346-023-00817-9
Qualitative theory of dynamical systems, Vol. 22, Issue 4 (December 2023) , art. 125  
6.
16 p, 396.2 KB Probability of occurrence of some planar random quasi-homogeneous vector fields / Coll, Bartomeu (Universitat de les Illes Balears. Departament de Ciències Matemàtiques i Informàtica) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Prohens, Rafel (Universitat de les Illes Balears. Departament de Ciències Matemàtiques i Informàtica)
The objective of this work is the study of the probability of occurrence of phase portraits in a family of planar quasi-homogeneous vector fields of quasi degree q, that is a natural extension of planar linear vector fields, which correspond to q= 1. [...]
2022 - 10.1007/s00009-022-02198-w
Mediterranean Journal of Mathematics, Vol. 19, Issue 6 (December 2022) , art. 278  
7.
12 p, 669.3 KB On the Limit Cycles of a Class of Discontinuous Piecewise Differential Systems Formed by Two Rigid Centers Governed by Odd Degree Polynomials / Carvalho, Tiago (Universidade de São Paulo. Departamento de Computação e Matemática) ; Gonçalves, Luiz Fernando (Universidade Federal de Goiás. Instituto de Matemática e Estatística) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We provide an upper bound for the maximum number of limit cycles for the class of discontinuous piecewise differential systems formed by two differential systems separated by the straight line x = 0, one of which is a linear rigid center while the other is a rigid center formed of a linear part plus a homogeneous polynomial of odd degree. [...]
2022 - 10.1142/S0218127422502455
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 32, Issue 16 (December 2022) , art. 2250245  
8.
53 p, 1.1 MB Topological moduli space for germs of foliations II : universal deformations / Marín Pérez, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mattei, Jean-François (Université Paul Sabatier. Institut de Mathématiques de Toulouse) ; Salem, Eliane (Sorbonne Université. Institut de Mathématiques de Jussieu-Paris Rive Gauche)
This work deals with the topological classification of singular foliation germs on (C2,0). Working in a suitable class of foliations we fix the topological invariants given by the separatrix set, the Camacho-Sad indices and the projective holonomy representations and we prove the existence of a topological universal deformation through which every equisingular deformation uniquely factorizes up to topological conjugacy. [...]
2023 - 10.2422/2036-2145.202111_006
Annali della Scuola normale superiore di Pisa - Classe di scienze, In press 2023  
9.
Limit cycles of generic piecewise center-type vector fields in R3 separated by either one plane or by two parallel planes / Villanueva, Yovani (Universidade Federal de Goiâs. Instituto de Matemática e Estatística (Brazil)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Euzébio, R (Universidade Federal de Goiâs. Instituto de Matemática e Estatística (Brazil))
While the limit cycles of the piecewise differential systems in the plane R2 have been studied intensively during these last twenty years, this is not the case for the limit cycles of the piecewise differential systems in the space R3. [...]
2022 - 10.1016/j.bulsci.2022.103173
Bulletin des Sciences Mathematiques, Vol. 179 (October 2022) , art. 103173  
10.
21 p, 806.2 KB On a class of polynomial differential systems of degree 4 : Phase portraits and limit cycles / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Salhi, Tayeb (Université de Bordj Bou Arréridj. Département de Mathématiques (Algeria))
In this paper we characterize the phase portraits in the Poincaré disc of the class of polynomial differential systems of the form ẋ = −y, ẏ = x + ax4 + bx2 y2 + cy4, with a2 + b2 + c2 ≠ 0, which are symmetric with respect to the x-axis. [...]
2021 - 10.12775/TMNA.2020.042
Topological Methods in Nonlinear Analysis, Vol. 57, Issue 2 (June 2021) , p. 441-463  

Articles : 80 registres trobats   1 - 10següentfinal  anar al registre:
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