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Dipòsit Digital de Documents de la UAB	5 registres trobats	La cerca s'ha fet en 0.00 segons.

16 p, 433.0 KB

Algebraic and topological classification of homogeneous quartic vector fields in the plane / 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 provide canonical forms for the homogeneous polynomials of degree five. Then we characterize all the phase portraits in the Poincaré disk for all quartic homogeneous polynomial differential systems. [...]
2022 - DOI (Digital Object Identifier)

10.1007/s10231-021-01106-5
Annali di Matematica Pura ed Applicata, Vol. 201, Issue 1 (February 2022) , p. 37-55

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23 p, 782.4 KB

Fixed and moving limit cycles for Liénard equations / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Sabatini, Marco (Università di Trento. Dipartimento di Matematica)
We consider a family of planar vector fields that writes as a Liénard system in suitable coordinates. It has a fixed closed invariant curve that often contains periodic orbits of the system. We prove a general result that gives the hyperbolicity of these periodic orbits, and we also study the coexistence of them with other periodic orbits. [...]
2019 - DOI (Digital Object Identifier)

10.1007/s10231-019-00850-z
Annali di Matematica Pura ed Applicata, Vol. 198, Issue 6 (December 2019) , p. 1985-2006

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12 p, 673.9 KB

Highest weak focus order for trigonometric Liénard equations / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática)
Given a planar analytic differential equation with a critical point which is a weak focus of order k, it is well known that at most k limit cycles can bifurcate from it. Moreover, in case of analytic Liénard differential equations this order can be computed as one half of the multiplicity of an associated planar analytic map. [...]
2019 - DOI (Digital Object Identifier)

10.1007/s10231-019-00936-8
Annali di Matematica Pura ed Applicata, vol. 199 (November 2019) p. 1673-1684

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21 p, 515.2 KB

Global dynamics of the Benoît system / Lima, Mauricio Firmino Silva (Universidade Federal do ABC(Brazil). Centro de Matemática Computacâo e Cognicâo) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we work with a two-degree polynomial differential system in R3 related with the canard phenomena. We show that this system is completely integrable, and we provide its global phase portrait in the Poincaré ball using the Poincaré-Lyapunov compactification.
2014 - DOI (Digital Object Identifier)

10.1007/s10231-012-0318-2
Annali di Matematica Pura ed Applicata, Vol. 193 Núm. 4 (2014) , p. 1103-1122

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9 p, 269.0 KB

Linearization of planar involutions in C^1 / Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosas Capellades, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Ortega, Rafael (Universidad de Granada. Departamento de Matemática Aplicada)
The celebrated Kerékjártó Theorem asserts that planar continuous periodic maps can be continuously linearized. We prove that C^1-planar involutions can be C^1-linearized.
2015 - DOI (Digital Object Identifier)

10.1007/s10231-014-0423-5
Annali di Matematica Pura ed Applicata, Vol. 194 (2015) , p. 1349-1357

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