Torregrosa, Joan - Search Results - UAB Digital Repository of Documents

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Articles, 6 records found

Articles	6 records found

21 p, 377.6 KB

The number of polynomial solutions of polynomial Riccati equations / Gasull i Embid, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Zhang, Xiang (Shanghai Jiao Tong University. Department of Mathematics)
Consider real or complex polynomial Riccati differential equations a(x) y=b_0(x) b_1(x)y b_2(x)y^2 with all the involved functions being polynomials of degree at most . We prove that the maximum number of polynomial solutions is 1 (resp. [...]
2016 - DOI (Digital Object Identifier)

10.1016/j.jde.2016.07.019
Journal of Differential Equations, Vol. 261 (2016) , p. 5071-5093

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12 p, 332.3 KB

Weak-foci of high order and cyclicity / Liang, Haihua (Guangdong Polytechnic Normal University(China). Department of Computer Science) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
A particular version of the 16th Hilbert's problem is to estimate the number, M(n), of limit cycles bifurcating from a singularity of center-focus type. This paper is devoted to finding lower bounds for M(n) for some concrete n by studying the cyclicity of different weak-foci. [...]
2016 - DOI (Digital Object Identifier)

10.1007/s12346-016-0189-9
Qualitative Theory of Dynamical Systems, 2016

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11 p, 287.9 KB

Asymptotic expansion of the heteroclinic bifurcation for the planar normal form of the 1:2 resonance / Roberto, Lucy Any (UNESP (Brasil). Departamento de Matemática) ; da Silva, Paulo Ricardo (UNESP (Brazil). Departamento de Matemática) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We consider the family of planar differential systems depending on two real parameters \[ x =y, y = _1 x _2 y x^3-x^2y. \] This system corresponds to the normal form for the 1:2 resonance which exhibits a heteroclinic connection. [...]
2016 - DOI (Digital Object Identifier)

10.1142/S0218127416500176
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 26 Núm. 1 (2016) , p. 1650017 (8 pages)

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20 p, 414.4 KB

Center problem for systems with two monomial nonlinearities / Gasull i Embid, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We study the center problem for planar systems with a linear center at the origin that in complex coordinates have a nonlinearity formed by the sum of two monomials. Our first result lists several centers inside this family. [...]
2016 - DOI (Digital Object Identifier)

10.3934/cpaa.2016.15.577
Communications on Pure & Applied Analysis, Vol. 15 Núm. 2 (2016) , p. 577-598

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21 p, 458.8 KB

Existence and uniqueness of limit cycles for generalized -Laplacian Liénard equations / Pérez-González, Set (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torres, Pedro J. (Universidad de Granada. Departamento de Matemática Aplicada)
The Liénard equation x′′ + f(x)x′ + g(x) = 0 appears as a model in many problems of science and engineering. Since the first half of the 20th century, many papers have appeared providing existence and uniqueness conditions for limit cycles of Li'enard equations. [...]
2016 - DOI (Digital Object Identifier)

10.1016/j.jmaa.2016.03.004
Journal of Mathematical Analysis and Applications, Vol. 439 (2016) , p. 745-765

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1 p, 44.4 KB

Introduction / Alsedà i Soler, Lluís (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Cors Iglesias, Josep Maria ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this volume we present the proceedings of the conference "New Trends in Dynamical Systems" held in Salou, Catalonia, from October 1st to 5th, 2012. This international event was devoted to celebrate Jaume Llibre's 60th birthday. [...]
2014
Publicacions matemàtiques, Vol. Extra, Núm. (2014) , p. 1-1

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49	Torregrosa, Joan
49	Torregrosa, Joan
1	Torregrosa, Joan,

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