Depósito Digital de Documentos de la UAB Encontrados 4 registros  La búsqueda tardó 0.01 segundos. 
1.
18 p, 402.3 KB Approximation via {Hausdorff} operators / Debernardi Pinos, Alberto (Bar-Ilan University. Department of Mathematics) ; Liflyand, Elijah (Bar-Ilan University. Department of Mathematics)
Truncating the Fourier transform averaged by means of a generalized Hausdorff operator, we approximate functions and the adjoint to that Hausdorff operator of the given function. We find estimates for the rate of approximation in various metrics in terms of the parameter of truncation and the components of the Hausdorff operator. [...]
2021 - 10.4153/S0008439520000612
Canadian Mathematical Bulletin, Vol. 64, issue 3 (September 2021) , p. 512-529  
2.
12 p, 781.7 KB Limit cycles of a perturbation of a polynomial Hamiltonian systems of degree 4 symmetric with respect to the origin / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Martínez, Y. Paulina (Universidad del Bío-Bío. Departamento de Matemática (Chile)) ; Vidal, Claudio (Universidad del Bío-Bío. Departamento de Matemática (Chile))
We study the number of limit cycles bifurcating from the origin of a Hamiltonian system of degree 4. We prove, using the averaging theory of order 7, that there are quartic polynomial systems close these Hamiltonian systems having 3 limit cycles.
2020 - 10.4153/S0008439519000626
Canadian mathematical bulletin, Vol. 63, Issue 3 (September 2020) , p. 547-561  
3.
15 p, 348.8 KB Global phase portraits for the Abel quadratic polynomial differential equations of second kind with Z₂-symmetries / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Departamento de Matemàtica)
We provide normal forms and the global phase portraits in the Poincaré disk for all Abel quadratic polynomial differential equations of the second kind with Z₂-symmetries.
2018 - 10.4153/CMB-2017-026-6
Canadian mathematical bulletin, Vol. 61, issue 1 (2018) , p. 149-165  
4.
8 p, 704.6 KB On the limit cycles of linear differential systems with homogeneous nonlinearities / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Zhang, Xiang (Shanghai Jiaotong University. Department of Mathematics)
We consider the class of polynomial differential systems of the form x'= x - y P_n (x, y), y'=x y Q_n (x, y), where P_n and Q_n are homogeneous polynomials of degree n. For this class of differential systems we summarize the known results for the existence of limit cycles, and we provide new results for their nonexistence and existence.
2015 - 10.4153/CMB-2015-062-1
Canadian mathematical bulletin, Vol. 58 Núm. 4 (2015) , p. 818-823  

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