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Depósito Digital de Documentos de la UAB Encontrados 28 registros  1 - 10siguientefinal  ir al registro: La búsqueda tardó 0.04 segundos. 
1.
54 p, 1.0 MB Topological Moduli Space for Germs of Holomorphic Foliations / Marín Pérez, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mattei, Jean-François (Institut de Mathématiques de Toulouse) ; Salem, Eliane (Sorbonne Université. Institut de Mathématiques de Jussieu-Paris Rive Gauche)
This work deals with the topological classification of germs of singular foliations on (ℂ2,0). Working in a suitable class of foliations we fix the topological invariants given by the separatrix set, the Camacho-Sad indices, and the projective holonomy representations and we compute the moduli space of topological classes in terms of the cohomology of a new algebraic object that we call group-graph. [...]
2020 - 10.1093/imrn/rny244
International Mathematics Research Notices, Vol. 2020, Issue 23 (November 2020) , p. 9228-9292  
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2.
53 p, 1.1 MB Topological moduli space for germs of foliations II : universal deformations / Marín Pérez, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mattei, Jean-François (Université Paul Sabatier. Institut de Mathématiques de Toulouse) ; Salem, Eliane (Sorbonne Université. Institut de Mathématiques de Jussieu-Paris Rive Gauche)
This work deals with the topological classification of singular foliation germs on (C2,0). Working in a suitable class of foliations we fix the topological invariants given by the separatrix set, the Camacho-Sad indices and the projective holonomy representations and we prove the existence of a topological universal deformation through which every equisingular deformation uniquely factorizes up to topological conjugacy. [...]
2023 - 10.2422/2036-2145.202111_006
Annali della Scuola normale superiore di Pisa - Classe di scienze, In press 2023  
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3.
7 p, 373.7 KB Parrondo's paradox for homoeomorphisms / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Hernández-Corbato, L. (Universidad Complutense de Madrid. Departamento de Álgebra, Geometría y Topología) ; Ruiz Del Portal, F. R. (Universidad Complutense de Madrid. Departamento de Álgebra, Geometría y Topología)
We construct two planar homoeomorphisms f and g for which the origin is a globally asymptotically stable fixed point whereas for f∘g and g∘f the origin is a global repeller. Furthermore, the origin remains a global repeller for the iterated function system generated by f and g where each of the maps appears with a certain probability. [...]
2022 - 10.1017/prm.2021.28
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 152, Issue 4 (August 2022) p. 817-825  
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4.
12 p, 308.3 KB Discrete Melnikov functions / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
We consider non-autonomous N-periodic discrete dynamical systems of the form (Formula presented. ) having when (Formula presented. ) an open continuum of initial conditions such that the corresponding sequences are N-periodic. [...]
2022 - 10.1080/10236198.2021.1970147
Journal of Difference Equations and Applications, Vol. 26, Issue 10 (2022) , p. 1348-1361  
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5.
34 p, 471.7 KB Stability index of linear random dynamical systems / Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
Given a homogeneous linear discrete or continuous dynamical system, its stability index is given by the dimension of the stable manifold of the zero solution. In particular, for the n dimensional case, the zero solution is globally asymptotically stable if and only if this stability index is n. [...]
2021 - 10.14232/ejqtde.2021.1.15
Electronic Journal of Qualitative Theory of Differential Equations, Vol. 2021, Issue 15 (2021) , p. 1-27
2 documentos
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6.
19 p, 293.2 KB A dynamic Parrondo's paradox for continuous seasonal systems / Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
We show that planar continuous alternating systems, which can be used to model systems with seasonality, can exhibit a type of Parrondo's dynamic paradox, in which the stability of an equilibrium, common to all seasons is reversed for the global seasonal system. [...]
2020 - 10.1007/s11071-020-05656-w
Nonlinear Dynamics, vol. 102 (April 2020) p. 1033-1043  
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7.
5 p, 251.1 KB Canards existence in the Hindmarsh-Rose model / Ginoux, Jean-Marc (Centre National de la Recherche Scientifique (França)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Tchizawa, Kiyoyuki (Institute of Administration Engineering Ltd. (Japan))
In two previous papers, we have proposed a new method for proving the existence of "canard solutions" on one hand for three- and four-dimensional singularly perturbed systems with only one fast variable and, on the other hand, for four-dimensional singularly perturbed systems with two fast variables; see [4, 5]. [...]
Cham, etc : Birkhäuser, cop. 2019 (Trends in mathematics. Research perspectives CRM Barcelona ; 11) - 10.1007/978-3-030-25261-8_26
Extended abstracts Spring 2018 : singularly perturbed systems, multiscale phenomena and hysteresis: theory and applications, 2019, p. 169-175  
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8.
35 p, 3.3 MB An entire transcendental family with a persistent Siegel disc / Berenguel, Rubén (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi) ; Fagella Rabionet, Núria (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi)
We study the class of entire transcendental maps of finite order with one critical point and one asymptotic value, which has exactly one finite pre-image, and having a persistent Siegel disk. After normalization this is a one parameter family fa with a ∈ C which includes the semistandard map λzez at a = 1, approaches the exponential map when a → 0 and a quadratic polynomial when a → ∞. [...]
2010 - 10.1080/10236190903251738
Journal of Difference Equations and Applications, Vol. 16, Issue 5-6 (May 2010) , p. 523-553  
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9.
31 p, 575.7 KB Limit cycles of piecewise polynomial perturbations of higher dimensional lineal differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Novaes, Douglas D. (Universidade Estadual de Campinas. Departamento de Matemática (Brazil)) ; Zeli, Iris O. (Instituto Tecnológico de Aeronáutica. Departamento de Matemática (Brazil))
The averaging theory has been extensively employed for studying periodic solutions of smooth and nonsmooth differential systems. Here, we extend the averaging theory for studying periodic solutions a class of regularly perturbed non-autonomous n-dimensional discontinuous piecewise smooth differential system. [...]
2020 - 10.4171/rmi/1131
Revista Matemática Iberoamericana, Vol. 36, Núm. 1 (2020) , p. 291-318  
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10.
11 p, 246.0 KB Qualitative behaviour analysis of feedback-controlled Buck-Boost power converters thru three different techniques / Sosa, Keiver (Universidad de Los Andes. Doctorado en Ciencias Aplicadas (Venezuela)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Spinetti-Rivera, Mario (Universidad de Los Andes. Departamento de Sistemas de Control (Venezuela)) ; Colina-Morles, Eliezer (Universidad de Cuenca. Departamento de Ingeniería Eléctrica, Electrónica y Telecomunicaciones (Ecuador))
This work is based on the comparison of three techniques for analyzing the qualitative behaviour of nonlinear dynamic systems, including the study of their finite and infinite equilibrium points. The qualitative techniques used are: the direct method of Lyapunov, The theorems of Dickson and Perko for second order quadratic differential systems and the linearization around finite equilibrium points. [...]
Este trabajo se basa en la comparación de tres técnicas de análisis del comportamiento cualitativo de sistemas dinámicos no lineales, incluyendo el estudio de los puntos de equilibrio finitos e infinitos. [...]
2018
Revista Politécnica, Vol. 42, Núm. 1 (Agosto-Octubre 2018) , p. 7-16
2 documentos
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