Dipòsit Digital de Documents de la UAB 146 registres trobats  anterior11 - 20següentfinal  anar al registre: La cerca s'ha fet en 0.02 segons. 
11.
38 p, 2.1 MB Limit cycles of planar discontinuous piecewise linear hamiltonian systems without equilibria separated by reducible cubics / Benterki, Rebiha (Université Mohamed El Bachir El Ibrahimi. Département de Mathématiques (Algeria)) ; Jimenez Ruiz, Jeidy Johana (Universidade Federal do Oeste da Bahia (Brazil)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Due to their applications to many physical phenomena during these last decades the interest for studying the discontinuous piecewise differential systems has increased strongly. The limit cycles play a main role in the study of any planar differential system, but to determine the maximum number of limits cycles that a class of planar differential systems can have is one of the main problems in the qualitative theory of the planar differential systems. [...]
2021 - 10.14232/ejqtde.2021.1.69
Electronic Journal of Qualitative Theory of Differential Equations, Vol. 2021, Issue 69 (2021) , p. 1-38
2 documents
12.
Melnikov functions of arbitrary order for piecewise smooth differential systems in Rn and applications / Chen, Xingwu (Sichuan University. Department of Mathematics) ; Li, Tao (Southwestern University of Finance and Economics. School of Economic Mathematics) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we develop an arbitrary order Melnikov function to study limit cycles bifurcating from a periodic submanifold for autonomous piecewise smooth differential systems in R with two zones separated by a hyperplane. [...]
2022 - 10.1016/j.jde.2022.01.019
Journal of differential equations, Vol. 314 (March 2022) , p. 340-369  
13.
28 p, 467.4 KB Invariant algebraic surfaces of polynomial vector fields in dimension three / Kruff, Niclas (Rheinisch-Westfälische Technische Hochschule Aachen. Lehrstuhl A für Mathematik) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pantazi, Chara (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Walcher, Sebastian (Rheinisch-Westfälische Technische Hochschule Aachen. Lehrstuhl A für Mathematik)
We discuss criteria for the nonexistence, existence and computation of invariant algebraic surfaces for three-dimensional complex polynomial vector fields, thus transferring a classical problem of Poincaré from dimension two to dimension three. [...]
2021 - 10.1007/s10884-021-10080-8
Journal of dynamics and differential equations, (October 2021)
2 documents
14.
10 p, 761.2 KB The Markus-Yamabe conjecture for discontinuous piecewise linear differential systems in Rn separated by a conic × Rn-2 / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
In 1960 Markus and Yamabe made the conjecture that if a C1 differential system x˙=F(x) in Rn has a unique equilibrium point and DF(x) is Hurwitz for all x∈Rn, then the equilibrium point is a global attractor. [...]
2022 - 10.1007/s10884-021-10110-5
Journal of dynamics and differential equations, (January 2022)  
15.
23 p, 359.5 KB Effectiveness of the Bendixson-Dulac theorem / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Giacomini, Hector (Centre National de la Recherche Scientifique. Université de Tours. Institut Denis Poisson)
We illustrate with several new applications the power and elegance of the Bendixson-Dulac theorem to obtain upper bounds of the number of limit cycles for several families of planar vector fields. In some cases we propose to use a function related with the curvature of the orbits of the vector field as a Dulac function. [...]
2021 - 10.1016/j.jde.2021.10.011
Journal of differential equations, Vol. 305 (December 2021) , p. 347-367  
16.
22 p, 288.8 KB Persistence of periodic traveling waves and Abelian integrals / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Geyer, Anna (Delft University of Technology. Delft Institute of Applied Mathematics) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
It is well known that the existence of traveling wave solutions (TWS) for many partial differential equations (PDE) is a consequence of the fact that an associated planar ordinary differential equation (ODE) has certain types of solutions defined for all time. [...]
2021 - 10.1016/j.jde.2021.05.033
Journal of differential equations, Vol. 293 (August 2021) , p. 48-69
2 documents
17.
29 p, 980.9 KB New lower bounds of the number of critical periods in reversible centers / Sanchez Sanchez, Ivan (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we aim to find the highest number of critical periods in a class of planar systems of polynomial differential equations for fixed degree having a center. We fix our attention to lower bounds of local criticality for low degree planar polynomial centers. [...]
2021 - 10.1016/j.jde.2021.05.013
Journal of differential equations, Vol. 292 (August 2021) , p. 427-460  
18.
89 p, 1.8 MB Structurally unstable quadratic vector fields of codimension two : Families possessing a finite saddle-node and an infinite saddle-node / Artés Ferragud, Joan Carles (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mota, Marcos Coutinho (Universidade de São Paulo. Instituto de Ciências Matemáticas e de Computação (Brazil)) ; Rezende, Alex C. (Universidade Federal de São Carlos. Departamento de Matemática (Brazil))
In 1998, Artés, Kooij and Llibre proved that there exist 44 structurally stable topologically distinct phase portraits modulo limit cycles, and in 2018 Artés, Llibre and Rezende showed the existence of at least 204 (at most 211) structurally unstable topologically distinct codimension-one phase portraits, modulo limit cycles. [...]
2021 - 10.14232/ejqtde.2021.1.35
Electronic Journal of Qualitative Theory of Differential Equations, Vol. 2021, Issue 35 (2021) , p. 1-89
2 documents
19.
20 p, 337.0 KB First-order perturbation for multi-parameter center families / Itikawa, Jackson (Universidade Federal de Rondônia. Departament of Mathematics) ; Oliveira, Regilene (Universidade de São Paulo. Departamento de Matemática) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In the weak 16th Hilbert problem, the Poincaré-Pontryagin-Melnikov function, M(h), is used for obtaining isolated periodic orbits bifurcating from centers up to a first-order analysis. This problem becomes more difficult when a family of centers is considered. [...]
2022 - 10.1016/j.jde.2021.11.035
Journal of differential equations, Vol. 309 (February 2022) , p. 291-310  
20.
26 p, 551.6 KB On the separatrix graph of a rational vector field on the Riemann sphere / Dias, Kealey (Bronx Community College of the City University of New York (USA)) ; Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)
We consider the rational flow ξR(z) = R(z)(d/dz) where R is given by the quotient of two polynomials without common factors on the Riemann sphere. The separatrix graph ΓR is the boundary between trajectories with different properties. [...]
2021 - 10.1016/j.jde.2021.02.021
Journal of differential equations, Vol. 282 (May 2021) , p. 541-565  

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