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Depósito Digital de Documentos de la UAB Encontrados 190 registros  anterior11 - 20siguientefinal  ir al registro: La búsqueda tardó 0.01 segundos. 
11.
11 p, 634.0 KB Non-existence and uniqueness of limit cycles in a class of generalized Liénard equations / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
We provide a sharp upper bound for the number of limit cycles of the generalized Liénard differential systems x˙ = y + axn + bxk, y˙ = cxm where n, k, m are positive integers, 1 < n< k and a, b, c∈ R with bc≠ 0. [...]
2022 - 10.1007/s40590-022-00433-8
Boletin de la Sociedad Matematica Mexicana, Vol. 28, Issue 2 (July 2022) , art. 41  
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12.
Global phase portraits of the generalized van der Pol systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
We consider the generalized van der Pol systems x˙ = y, y˙ = −x + (1−x) f(y), where f ∈ R[y]. The classical van der Pol systems have f(y) = y. We first characterize when the origin of the generalized van der Pol systems is a center, and second we provide the global phase portraits in the Poincaré disc of the generalized van der Pol when f(y) = ay + ay for all a,a ∈ R.
2023 - 10.1016/j.bulsci.2022.103213
Bulletin des Sciences Mathematiques, Vol. 182 (February 2023) , art. 103213  
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13.
1 p, 284.3 KB Artificial sweeteners in our diet / Tuneu Valls, Clàudia ; Universitat Autònoma de Barcelona. Facultat de Veterinària
2022
Grau en Ciència i Tecnologia dels Aliments [974]  
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14.
16 p, 458.9 KB Limit cycles of planar discontinuous piecewise linear Hamiltonian systems without equilibria separated by nonregular curves / Jimenez, Johana (Universidade Federal do Oeste da Bahia (Brazil)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
The problem of determining the existence, maximum number and positions of the limit cycles of the planar discontinuous piecewise linear differential systems is an important problem in the qualitative theory of differential systems. [...]
2022 - 10.1142/S021812742250184X
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 32, Issue 12 (September 2022) , art. 2250184  
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15.
11 p, 365.9 KB Phase portraits of the Leslie-Gower system / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
In this paper we characterize the phase portraits of the Leslie-Gower model for competition among species. We give the complete description of their phase portraits in the Poincaré disc (i. e. , in the compactification of ℝ adding the circle S of the infinity) modulo topological equivalence. [...]
2022 - 10.1007/s10473-022-0502-4
Acta Mathematica Scientia, Vol. 42, Issue 5 (September 2022) , p. 1734-1742  
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16.
13 p, 951.2 KB The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Paşca, Daniel (University of Oradea. Department of Mathematics and Informatics (Romania)) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
We study the dynamics of the circular restricted 4-body problem with three primaries with equal masses at the collinear configuration of the 3-body problem with an infinitesimal mass. We calculate the equilibrium points and study their linear stability. [...]
2021 - 10.1007/s10569-021-10052-6
Celestial Mechanics and Dynamical Astronomy, Vol. 133, Issue 11-12 (December 2021) , art. 53  
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17.
Global centers of the generalized polynomial Liénard differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
The global centers started to be studied seriously at the end of the XX century. In the last decades, the generalized polynomial Liénard differential systems have been studied intensively. In this paper we characterize all the generalized polynomial Liénard differential systems having a global center at the origin. [...]
2022 - 10.1016/j.jde.2022.05.013
Journal of differential equations, Vol. 330 (September 2022) , p. 66-80  
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18.
18 p, 377.7 KB Limit cycles of piecewise differential systems with linear Hamiltonian saddles and linear centres / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
We study the continuous and discontinuous planar piecewise differential systems formed by linear centres together with linear Hamiltonian saddles separated by one or two parallel straight lines. When these piecewise differential systems are either continuous or discontinuous separated by one straight line, they have no limit cycles. [...]
2022 - 10.1080/14689367.2022.2037519
Dynamical Systems, Vol. 37, Issue 2 (February 2022) , p. 262-279  
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19.
Crossing limit cycles for discontinuous piecewise differential systems formed by linear Hamiltonian saddles or linear centers separated by a conic / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
The extension of the 16th Hilbert problem to discontinuous piecewise linear differential systems asks for an upper bound for the maximum number of crossing limit cycles that such systems can exhibit. [...]
2022 - 10.1016/j.chaos.2022.112076
Chaos, solitons and fractals, Vol. 159 (June 2022) , art. 112076  
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20.
11 p, 285.4 KB Twin polynomial vector fields of arbitrary degree / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
In this paper we study polynomial vector fields on C2 of degree larger than 2 with n2 isolated singularities. More precisely, we show that if two polynomial vector fields share n2−1 singularities with the same spectra (trace and determinant) and from these singularities n2−2 have the same positions, then both vector fields have identical position and spectra at all the singularities. [...]
2022 - 10.1007/s00574-021-00259-4
Bulletin of the Brazilian Mathematical Society, Vol. 53, Issue 1 (March 2022) , p. 295-306  
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