Boletin de la Sociedad Matematica Mexicana - Resultats de la cerca

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The limit cycles of a class of piecewise differential systems / Benabdallah, Imane (University Mohamed El Bachir. Department of Mathematics) ; Benterki, Rebiha (University Mohamed El Bachir. Department of Mathematics) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this century many papers have been published on the piecewise differential systems in the plane. The increasing interest for this class of differential systems is motivated by their many applications for modelling several natural phenomena. [...]
2023 - DOI (Digital Object Identifier)

10.1007/s40590-023-00535-x
Boletin de la Sociedad Matematica Mexicana, Vol. 29, Issue 3 (November 2023) , art. 62

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Limit cycles of a continuous piecewise differential system formed by a quadratic center and two linear centers / Anacleto, Maria Elisa (Universidad del Bío-Bío. Departamento de Matemática) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica) ; Vidal, Claudio (Universidad del Bío-Bío. Departamento de Matemática)
The study of limit cycles of planar differential systems is one of the main and difficult problems for understanding their dynamics. Thus the objective of this paper is to study the limit cycles of continuous piecewise differential systems in the plane separated by a non-regular line Σ. [...]
2023 - DOI (Digital Object Identifier)

10.1007/s40590-023-00501-7
Boletin de la Sociedad Matematica Mexicana, Vol. 29, Issue 2 (July 2023) , art. 29

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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 - DOI (Digital Object Identifier)

10.1007/s40590-022-00433-8
Boletin de la Sociedad Matematica Mexicana, Vol. 28, Issue 2 (July 2022) , art. 41

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$The law of a stochastic integral with two independent fractional Brownian motions$

14 p, 305.5 KB

The law of a stochastic integral with two independent fractional Brownian motions / Bardina i Simorra, Xavier (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Tudor, Ciprian A. (Université de Panthéon-Sorbonne Paris 1. Centre d'Economie de La Sorbonne)
Using the tools of the stochastic integration with respect to the fractional Brownian motion, we obtain the expression of the characteristic function of the random variable f01Bsalpha;dBsH where Bα and B H are two independent fractional Brownian motions with Hurst parameters α ∈ (0, 1) and H > 1/2 respectively. [...]
2007
Boletin de la Sociedad Matematica Mexicana, Vol. 13, Núm. 1 (2007) , p. 231-242

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23 p, 585.3 KB

New family of cubic Hamiltonian centers / Frías-Armenta, Martín-Eduardo (Universidad de Sonora. Departamento de Matemáticas (Mexico)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We characterize the 11 non topological equivalent classes of phase portraits in the Poincaré disc of the new family of cubic polynomial Hamiltonian differential systems with a center at the origin and Hamiltonian H=1/2((x+ax2+bxy+cy2)2+y2), with a2+b2+c2≠0.
2017 - DOI (Digital Object Identifier)

10.1007/s40590-016-0126-6
Boletín de la Sociedad Matemática Mexicana, Vol. 23, Núm. 2 (Octubre 2017) , p. 737-758

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