Journal of applied analysis and computation - Search Results

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UAB Digital Repository of Documents	6 records found	Search took 0.10 seconds.

14 p, 333.2 KB

Limit cycles of the discontinuous piecewise differential systems on the cylinder / Li, Jie (Sichuan University. Department of Mathematics) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In order to understand the dynamics of the differential systems the limit cycles play a main role, but in general their study is not easy. These last years an increasing interest appeared for studying the limit cycles of some classes of discontinuous piecewise differential systems, due to the rich applications of this kind of differential systems. [...]
2022 - DOI (Digital Object Identifier)

10.11948/20220031
Journal of Applied Analysis and Computation, Vol. 12, Issue 3 (June 2022) , p. 952-963

2 documents

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15 p, 853.0 KB

Centers for the Kukles homogeneous systems with even degree / Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Departamento de Matemàtica)
2017 - DOI (Digital Object Identifier)

10.11948/2017093
Journal of applied analysis and computation, Vol. 7 Núm. 4 (2017) , p. 1534-1548

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23 p, 585.1 KB

Effective construction of Poincaré-Bendixson regions / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Giacomini, Hector (Université de Tours (França). Laboratoire de Mathemátiques et Physique Théorique) ; Grau, Maite (Universitat de Lleida. Departament de Matemàtica)
This paper deals with the problem of location and existence of limit cycles for real planar polynomial differential systems. We provide a method to construct Poincaré--Bendixson regions by using transversal curves, that enables us to prove the existence of a limit cycle that has been numerically detected. [...]
2017 - DOI (Digital Object Identifier)

10.11948/2017094
Journal of applied analysis and computation, Vol. 7 Núm. 4 (2017) , p. 1549-1569

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18 p, 372.0 KB

On the integrability of the differential systems in dimension two and of the polynomial differential systems in arbitrary dimension / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
This is a survey on recent results providing sufficient conditions for the existence of a first integral, first for vector fields defined on real surfaces, and second for polynomial vector fields in R^n or C^n with n ≥ 2. [...]
This is a survey on recent results providing sufficient conditions for the existence of a first integral, first for vector fields defined on real surfaces, and second for polynomial vector fields in Rn or Cn with n ≥ 2. [...]
2011
Journal of Applied Analysis and Computation, Vol. 1 Núm. 1 (2011) , p. 11-33

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12 p, 1.9 MB

On the number of n-dimensional invariant spheres in polynomail vector fields of C^n 1 / Bolaños Rivera, Yudy Marcela (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We study in C n+1 the polynomial vector fields X = n +1 ∑ i=1 Pi(x1, . . . , xn+1) ∂/ ∂xi with n ≥ 1 . Let mi be the degree of the polynomial Pi . We call (m1, . . . , mn+1) the degree of X . [...]
2011
Journal of Applied Analysis and Computation, Vol. 1 Núm. 2 (2011) , p. 173-182

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6 p, 614.7 KB

The Hilbert number of a class of differential equations / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (UBMA University Annaba (Algeria). Department of mathematics)
The notion of Hilbert number from polynomial differential systems in the plane of degree n can be extended to the differential equations of the form dr/dθ = a(θ) /∑n j=0 aj (θ)r j (∗) defined in the region of the cylinder where ∑n j=0 aj (θ)r j ̸= 0 as follows. [...]
2015
Journal of Applied Analysis and Computation, Vol. 5 Núm. 1 (2015) , p. 141-145

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