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UAB Digital Repository of Documents 9 records found  Search took 0.02 seconds. 
1.
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  
Detailed record - Creative Commons
2.
27 p, 2.6 MB Topological properties of the immediate basins of attraction for the secant method / Gardini, Laura (University of Urbino. Department of Economics, Society and Politics) ; Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Jarque i Ribera, Xavier (Universitat de Barcelona. Departament de Matemàtiques i Informàtica)
We study the discrete dynamical system defined on a subset of R given by the iterates of the secant method applied to a real polynomial p. Each simple real root α of p has associated its basin of attraction A(α) formed by the set of points converging towards the fixed point (α, α) of S. [...]
2021 - 10.1007/s00009-021-01845-y
Mediterranean Journal of Mathematics, Vol. 18, Issue 5 (October 2021) , art. 221
2 documents
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3.
24 p, 376.6 KB Three-dimensional Lotka-Volterra systems with 3:−1:2-Resonance / Aziz, Waleed (Tishk International University. Information Technology Department (Iraq)) ; Christopher, Colin (Plymouth University. School of Engineering, Computing and Mathematics) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pantazi, Chara (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
We study the local integrability at the origin of a nine-parameter family of three-dimensional Lotka-Volterra differential systems with (3:− 1:2)-resonance. We give necessary and sufficient conditions on the parameters of the family that guarantee the existence of two independent local first integrals at the origin of coordinates. [...]
2021 - 10.1007/s00009-021-01809-2
Mediterranean Journal of Mathematics, Vol. 18, Issue 4 (August 2021) , art. 167  
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4.
16 p, 307.2 KB On the locus of smooth plane curves with a fixed automorphism group / Badr, Eslam (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Let Mg be the moduli space of smooth, genus g curves over an algebraically closed field K of zero characteristic. Denote by Mg(G) the subset of Mg of curves δ such that G (as a finite non-trivial group) is isomorphic to a subgroup of Aut(δ), the full automorphism group of δ, and let Mg(G) ~ be the subset of curves δ such that G≅ Aut (δ). [...]
2016 - 10.1007/s00009-016-0705-9
Mediterranean Journal of Mathematics, Vol. 13, Issue 5 (October 2016) , p. 3605-3627  
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5.
13 p, 380.0 KB Dynamics of some three-dimensional Lotka-Volterra systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Zhang, Xiang (Shanghai Jiao Tong University. School of Mathematical Sciences)
We characterize the dynamics of the following two Lotka-Volterra differential systems: ̇x=x(r+ay+bz), ̇x=x(r+ax+by+cz), ̇y=y(r−ax+cz),and ̇y=y(r+ax+dy+ez), ̇z=z(r−bx−cy), ̇z=z(r+ax+dy+fz). [...]
2017 - 10.1007/s00009-017-0927-5
Mediterranean Journal of Mathematics, Vol. 14, Issue 3 (June 2017) , art. 126  
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6.
10 p, 567.6 KB On the Bifurcation of Limit Cycles Due to Polynomial Perturbations of Hamiltonian Centers / Colak, Ilker (Drexel University (Texas). Department of Mathematics) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Departamento de Matemàtica)
We study the number of limit cycles bifurcating from the peri- od annulus of a real planar polynomial Hamiltonian ordinary differential system with a center at the origin when it is perturbed in the class of polynomial vector fields of a given degree.
2017 - 10.1007/s00009-017-0857-2
Mediterranean Journal of Mathematics, 2017  
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7.
11 p, 650.3 KB Global dynamics of the Kummer-Schwarz differential equation / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Vidal, Claudio (Universidad del Bio Bio(Chile). Departamento de Matemática)
This paper studies the Kummer-Schwarz differential equation 2 ˙x. . . x −3¨x2 = 0 which is of special interest due to its relationship with the Schwarzian derivative. This differential equation is transformed into a first order differential system in R3, and we provide a complete description of its global dynamics adding the infinity.
2014 - 10.1007/s00009-013-0299-4
Mediterranean Journal of Mathematics, Vol. 11 (2014) , p. 477-486  
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8.
11 p, 683.1 KB Generalized Weierstrass integrability of the Abel differential equations / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
We study the Abel differential equations that admits either a generalized Weierstrass first integral or a generalized Weierstrass inverse integrating factor.
2013 - 10.1007/s00009-013-0266-0
Mediterranean Journal of Mathematics, Vol. 10 Núm. 4 (2013) , p. 1749-1760  
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9.
9 p, 582.9 KB A priori L2-error estimates for approximations of functions on compact manifolds / Marín Pérez, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Nicolau i Reig, Marcel (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Given a { mathcal{C}^{2}} -function f on a compact riemannian manifold (X,g) we give a set of frequencies { L=L_{f}(varepsilon)} depending on a small parameter { varepsilon > 0} such that the relative L2-error { frac{f-f^{L} }{f}} is bounded above by { varepsilon}, where fL denotes the L-partial sum of the Fourier series f with respect to an orthonormal basis of L2(X) constituted by eigenfunctions of the Laplacian operator Δ associated to the metric g.
2015 - 10.1007/s00009-014-0393-2
Mediterranean journal of mathematics, Vol. 12, no. 1 (Feb. 2015) , p. 51-62  
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