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UAB Digital Repository of Documents 43 records found  beginprevious23 - 32nextend  jump to record: Search took 0.02 seconds. 
23.
27 p, 2.2 MB Global topological configurations of singularities for the whole family of quadratic differential systems / Artés Ferragud, Joan Carles (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Schlomiuk, Dana (Université de Montréal. Département de Mathématiques et de Statistiques) ; Vulpe, Nicolae (Academy of Sciences of Moldova. Institute of Mathematics and Computer Science)
In Artés et al. (Geometric configurations of singularities of planar polynomial differential systems. A global classification in the quadratic case. Birkhäuser, Basel, 2019) the authors proved that there are 1765 different global geometrical configurations of singularities of quadratic differential systems in the plane. [...]
2020 - 10.1007/s12346-020-00372-7
Qualitative theory of dynamical systems, Vol. 19, Issue 1 (April 2020) , art. 51  
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24.
8 p, 285.3 KB A Four-body convex central configuration with perpendicular diagonals is necessarily a kite / Corbera Subirana, Montserrat (Universitat de Vic. Departament d'Enginyeries) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Roberts, Gareth E. (College of the Holy Cross. Department of Mathematics and Computer Science)
We prove that any four-body convex central configuration with perpendicular diagonals must be a kite configuration. The result extends to general power-law potential functions, including the planar four-vortex problem.
2018 - 10.1007/s12346-017-0238-z
Qualitative theory of dynamical systems, Vol. 17, issue 2 (Jul. 2018) , p. 367-374  
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25.
8 p, 483.6 KB On the Chebyshev property of certain Abelian integrals near a polycycle / Marín Pérez, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Villadelprat Yagüe, Jordi (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)
F. Dumortier and R. Roussarie formulated in (Discrete Contin. Dyn. Syst. 2 (2009) 723-781] a conjecture concerning the Chebyshev property of a collection I₀,I₁,. . . ,In of Abelian integrals arising from singular perturbation problems occurring in planar slow-fast systems. [...]
2018 - 10.1007/s12346-017-0226-3
Qualitative theory of dynamical systems, Vol. 17, issue 1 (April 2018) , p. 261-270  
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26.
13 p, 358.8 KB Detection of special curves via the double resultant / Ferragut Amengual, Antoni Manel (Universitat Jaume I. Departament de Matemàtiques) ; García-Saldaña, Johanna Denise (Universidad de Talca (Xile). Instituto de Matemática y Física) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We introduce several applications of the use of the double resultant through some examples of computation of different nature: special level sets of rational first integrals for rational discrete dynamical systems; remarkable values of rational first integrals of polynomial vector fields; bifurcation values in phase portraits of polynomial vector fields; and the different topologies of the offset of curves.
2017 - 10.1007/s12346-015-0180-x
Qualitative theory of dynamical systems, Vol. 16 (2017) , p. 101-117  
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27.
16 p, 266.5 KB On the complete integrability of the Raychaudhuri differential system in R^4 and of a CRNT model in R^5 / Ferragut Amengual, Antoni Manel (Universitat Jaume I. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Departamento de Matemàtica)
WestudytheDarbouxintegrabilityoftwodifferentialsystemswithparam- eters: the Raychaudhuri equation (a relativistic model in R4) and a chemical reaction model in R5. We prove that the first one is completely integrable and that the first inte- grals are of Darboux type. [...]
2017 - 10.1007/s12346-017-0230-7
Qualitative theory of dynamical systems, 2017  
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28.
22 p, 1.1 MB First integrals and phase portraits of planar polynomial differential cubic systems with the maximum number of invariant straight lines / Bujac, Cristina (Academy of Sciences of Moldova. Institute of Mathematics and Computer Science) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Vulpe, Nicolae (Academy of Sciences of Moldova. Institute of Mathematics and Computer Science)
In the article LliVul2006 the family of cubic polynomial differential systems possessing invariant straight lines of total multiplicity 9 was considered and 23 such classes of systems were detected. We recall that 9 invariant straight lines taking into account their multiplicities is the maximum number of straight lines that a cubic polynomial differential systems can have if this number is finite. [...]
2016 - 10.1007/s12346-016-0211-2
Qualitative theory of dynamical systems, Vol. 15 (2016) , p. 327-348  
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29.
46 p, 1.1 MB Canards Existence in Memristor's Circuits / Ginoux, Jean-Marc (Université de Toulon(France). Laboratoire LSIS) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The aim of this work is to propose an alternative method for determining the condition of existence of "canard solutions" for three and four-dimensional singularly perturbed systems with only one fast variable in the folded saddle case. [...]
2016 - 10.1007/s12346-015-0160-1
Qualitative theory of dynamical systems, 2016  
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30.
12 p, 332.3 KB Weak-foci of high order and cyclicity / Liang, Haihua (Guangdong Polytechnic Normal University(China). Department of Computer Science) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
A particular version of the 16th Hilbert's problem is to estimate the number, M(n), of limit cycles bifurcating from a singularity of center-focus type. This paper is devoted to finding lower bounds for M(n) for some concrete n by studying the cyclicity of different weak-foci. [...]
2016 - 10.1007/s12346-016-0189-9
Qualitative theory of dynamical systems, 2016  
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31.
13 p, 810.8 KB Liouvillian integrability versus Darboux polynomials / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática) ; Zhang, Xiang (Shanghai Jiao Tong University. Department of Mathematics)
In this note we provide a sufficient condition on the existence of Darboux polynomials of polynomial differential systems via existence of Jacobian multiplier or of Liouvillian first integral and a degree condition among different components of the system. [...]
2016 - 10.1007/s12346-016-0212-1
Qualitative theory of dynamical systems, Vol. 15 (2016) , p. 503-515  
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32.
24 p, 485.3 KB Poincaré-Pontryagin-Melnikov functions for a class of perturbed planar Hamiltonian equations / Rebollo-Perdomo, Salomón (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we consider polynomial perturbations of a family of polynomial Hamiltonian equations whose associated Hamiltonian is not transversal to infinity, and its complexification is not a Morse polynomial. [...]
2016 - 10.1007/s12346-015-0185-5
Qualitative theory of dynamical systems, 2016  
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