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UAB Digital Repository of Documents 11 records found  1 - 10next  jump to record: Search took 0.03 seconds. 
1.
21 p, 325.4 KB Some reiteration results for interpolation methods defined by means of polygons / Cobos, Fernando (Universidad Complutense de Madrid. Departamento de Análisis Matemático y Matemática Aplicada) ; Fernández-Cabrera, Luz M. (Universidad Complutense de Madrid. Departamento de Matemática Aplicada) ; Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We continue the research on reiteration results between interpolation methods associated to polygons and the real method. Applications are given to N-tuples of function spaces, of spaces of bounded linear operators and Banach algebras.
2008 - 10.1017/S0308210507000315
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 138, issue 6 (Dec. 2008) , p. 1179-1195  
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2.
7 p, 373.7 KB Parrondo's paradox for homoeomorphisms / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Hernández-Corbato, L. (Universidad Complutense de Madrid. Departamento de Álgebra, Geometría y Topología) ; Ruiz Del Portal, F. R. (Universidad Complutense de Madrid. Departamento de Álgebra, Geometría y Topología)
We construct two planar homoeomorphisms f and g for which the origin is a globally asymptotically stable fixed point whereas for f∘g and g∘f the origin is a global repeller. Furthermore, the origin remains a global repeller for the iterated function system generated by f and g where each of the maps appears with a certain probability. [...]
2022 - 10.1017/prm.2021.28
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 152, Issue 4 (August 2022) p. 817-825  
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3.
9 p, 450.4 KB Non-bifurcation of critical periods from semi-hyperbolic polycycles of quadratic centres / Marín Pérez, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Saavedra, M. (Universidad de Concepción. Departamento de Matemática (Chile)) ; Villadelprat Yagüe, Jordi (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)
In this paper we consider the unfolding of saddle-node X=1xUa(x,y)(x(xμ−ε)∂x−Va(x)y∂y), parametrized by (ε,a) with ε≈0 and a in an open subset A of Rα, and we study the Dulac time T(s;ε,a) of one of its hyperbolic sectors. [...]
2021 - 10.1017/prm.2021.72
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, (December 2021)  
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4.
12 p, 322.1 KB The cyclicity of the period annulus of a reversible quadratic system / Liu, Changjian (Sun Yat-sen University. School of Mathematics (China)) ; Li, Chengzhi (Peking University. School of Mathematical Sciences (China)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We prove that perturbing the periodic annulus of the reversible quadratic polynomial differential system x˙ = y + ax2, y˙ = −x with a ≠ 0 inside the class of all quadratic polynomial differential systems we can obtain at most two limit cycle, including their multiplicities. [...]
2021 - 10.1017/prm.2021.2
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, (February 2021)  
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5.
19 p, 594.1 KB Fatou components and singularities of meromorphic functions / Barański, Krzysztof (University of Warsaw. Institute of Mathematics (Poland)) ; Fagella Rabionet, Núria (Universitat de Barcelona. Institut de Matemàtiques) ; Jarque i Ribera, Xavier (Universitat de Barcelona. Institut de Matemàtiques) ; Karpińska, Bogusława (Warsaw University of Technology (Poland))
We prove several results concerning the relative position of points in the postsingular set P(f) of a meromorphic map f and the boundary of a Baker domain or the successive iterates of a wandering component. [...]
2020 - 10.1017/prm.2018.142
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 150, Issue 2 (April 2020) , p. 633-654  
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6.
17 p, 345.5 KB Phase portraits of the quadratic polynomial Liénard differential systems / Gouveia, Márcio (Universidade Estadual Paulista. Instituto de Biociências, Letras e Ciências Exatas. Departamento de Matemática (Brazil)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Roberto, Luci Any (Universidade Estadual Paulista. Instituto de Biociências, Letras e Ciências Exatas. Departamento de Matemática (Brazil))
We classify the global phase portraits in the Poincaré disc of the quadratic polynomial Liénard differential systems ˙ x = y, ˙ y = (ax + b)y + cx2 + dx + e, where (x,y) ∈R2 are the variables and a,b,c,d,e are real parameters.
2020 - 10.1017/prm.2020.10
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, (March 2020)  
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7.
14 p, 712.2 KB Liouvillian first integrals for a class of generalized Liénard polynomial differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Departamento de Matemática)
We study the existence of Liouvillian first integrals for the generalized Liénard polynomial differential systems of the form x' = y, y' =-g(x)-f(x)y, where f(x) = 3Q(x)Q'(x)P(x) + Q(x) P'(x) and g(x) = Q(x)Q'(x)(Q(x) P(x)-1) with P,Q [x]. [...]
2016 - 10.1017/S0308210515000906
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 146, Issue 6 (December 2016) , p. 1195-1210  
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8.
17 p, 373.5 KB The non-existence, existence and uniqueness of limit cycles for quadratic polynomial differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Zhang, Xiang (Shanghai Jiao Tong University. Department of Mathematics)
We provide sufficient conditions for the non-existence, existence and uniqueness of limit cycles surrounding a focus of a quadratic polynomial differential system in the plane.
2019 - 10.1017/S0308210517000221
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 149, Issue 1 (February 2019) , p. 1-14  
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9.
7 p, 568.5 KB Cofactors and equilibria for polynomial vector fields / Ferragut Amengual, Antoni Manel (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We provide a relationship between the existence of equilibrium points of differential systems and the cofactors of invariant algebraic curves and exponential factors of the system.
2014 - 10.1017/S0308210513000425
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 144A (2014) , p. 753-760  
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10.
11 p, 532.6 KB Morphisms and inverse problems for Darboux integrating factors / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pantazi, Chara (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I) ; Walcher, Sebastian (RWTH Aachen(Germany), Lehrstuhl A fur Mathematik)
Polynomial vector fields which admit a prescribed Darboux integrating factor are quite well-understood when the geometry of the underlying curve is nondegenerate. In the general setting morphisms of the affine plane may remove degeneracies of the curve, and thus allow more structural insight. [...]
2013 - 10.1017/S0308210511001430
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 143 Núm. 6 (2013) , p. 1291-1302  
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