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Dipòsit Digital de Documents de la UAB 4 registres trobats  La cerca s'ha fet en 0.02 segons. 
1.
18 p, 334.8 KB Limit cycles of linear vector fields on (S2)m ×Rn / Cufí Cabré, Clara (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
It is well known that linear vector fields defined in Rn cannot have limit cycles, but this is not the case for linear vector fields defined in other manifolds. We study the existence of limit cycles bifurcating from a continuum of periodic orbits of linear vector fields on manifolds of the form (S2)m × Rn when such vector fields are perturbed inside the class of all linear vector fields. [...]
2023 - 10.2140/pjm.2023.324.249
Pacific Journal of Mathematics, Vol. 324, Issue 2 (June 2023) , p. 249-263  
Registre complet - Creative Commons
2.
16 p, 496.2 KB Measurements of Riemannian two-disks and two-spheres / Balacheff, Florent Nicolas (Université de Lille. Laboratoire Paul Painlevé)
We prove that any Riemannian two-sphere having area at most 1 can be continuously mapped onto a tree in such a way that the topology of the fibers is controlled and their length is less than 7. 6. This result improves previous estimates and relies on a similar statement for Riemannian two-disks.
2015 - 10.2140/pjm.2015.275.167
Pacific Journal of Mathematics, Vol. 275, Num. 1 (April 2015) , p. 167-181  
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3.
19 p, 335.6 KB Existence of principal values of some singular integrals on Cantor sets, and Hausdorff dimension / Cufí Sobregrau, Julià, 1945- (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Donaire Benito, Juan Jesús (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mattila, Pertti (University of Helsinki. Department of Mathematics and Statistics) ; Verdera, Joan (Centre de Recerca Matemàtica)
Consider a standard Cantor set in the plane of Hausdorff dimension 1. If the linear density of the associated measure µ vanishes, then the set of points where the principal value of the Cauchy singular integral of µ exists has Hausdorff dimension 1. [...]
2023 - 10.2140/pjm.2023.326.285
Pacific Journal of Mathematics, Vol. 326, no. 2 (Oct. 2023) , p. 285-300  
Registre complet - Creative Commons
4.
30 p, 951.8 KB On the configurations of centers of planar Hamiltonian Kolmogorov cubic polynomial differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Xiao, Dongmei (Shanghai Jiao Tong University. School of Mathematical Sciences (China))
We study the kind of centers that Hamiltonian Kolmogorov cubic polynomial differential systems can exhibit. Moreover, we analyze the possible configurations of these centers with respect to the invariant coordinate axes, and obtain that the real algebraic curve xy(a+bx+cy+dx2+exy+fy2)=h has at most four families of level ovals in R2 for all real parameters a,b,c,d,e,f and h.
2020 - 10.2140/pjm.2020.306.611
Pacific Journal of Mathematics, Vol. 306, Issue 2 (2020) , p. 611-644  
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