Dipòsit Digital de Documents de la UAB 21 registres trobats  1 - 10següentfinal  anar al registre: La cerca s'ha fet en 0.01 segons. 
1.
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
2.
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)  
3.
49 p, 872.3 KB Structurally unstable quadratic vector fields of codimension two : families possessing either a cusp point or two finite saddle-nodes / Artés Ferragud, Joan Carles (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Oliveira, Regilene (Universidade de São Paulo. Instituto de Ciências Matemáticas e de Computação (Brazil)) ; Rezende, Alex C. (Universidade Federal de São Carlos. Departamento de Matemática (Brazil))
The goal of this paper is to contribute to the classification of the phase portraits of planar quadratic differential systems according to their structural stability. Artés et al. (Mem Am Math Soc 134:639, 1998) proved that there exist 44 structurally stable topologically distinct phase portraits in the Poincaré disc modulo limit cycles in this family, and Artés et al. [...]
2020 - 10.1007/s10884-020-09871-2
Journal of dynamics and differential equations, vol. 33 (July 2020) p. 1779-1821  
4.
16 p, 712.0 KB On the 16th Hilbert problem for discontinuous piecewise polynomial Hamiltonian systems / Li, Tao (Sichuan University. Department of Mathematics (China)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we study the maximum number of limit cycles of the discontinuous piecewise differential systems with two zones separated by the straight line y = 0, in y ≥ 0 there is a polynomial Hamiltonian system of degree m, and in y ≤ 0 there is a polynomial Hamiltonian system of degree n. [...]
2021 - 10.1007/s10884-021-09967-3
Journal of dynamics and differential equations, Vol. 35 (March 2021) , p. 87-102  
5.
25 p, 331.3 KB Spatial convex but non-strictly convex double-pyramidal central configurations of the (2n+ 2)-body problem / Corbera Subirana, Montserrat (Universitat de Vic - Universitat Central de Catalunya. Departament de Tecnologies Digitals i de la Informació) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
A configuration of the N bodies is convex if the convex hull of the positions of all the bodies in R³ does not contain in its interior any of these bodies. And a configuration is strictly convex if the convex hull of every subset of the N bodies is convex. [...]
2019 - 10.1007/s10884-019-09798-3
Journal of dynamics and differential equations, Vol. 32, Issue 4 (December 2020) , p. 1965-1982  
6.
22 p, 801.7 KB Centers and isochronous centers for two classes of generalized seventh and ninth systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Instituto Superior Técnico. Departamento de Matemática (Portugal))
We classify new classes of centers and of isochronous centers for polynomial differential systems in R2 of arbitrary odd degree d ≥ 7 that in complex notation z = x + iy can be written as z˙=(λ+i)z+(zz)d−7−2j/2 (Az5+jz2+j+Bz4+jz3+j+Cz3+jz4+j+Dz7+2j), where j is either 0 or 1, λ ∈ R and A,B,C ∈ C. [...]
2010 - 10.1007/s10884-010-9175-0
Journal of dynamics and differential equations, Vol. 22, Issue 4 (December 2010) , p. 657-675  
7.
16 p, 2.3 MB Limit cycles of piecewise smooth differential equations on two dimensional torus / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Miranda Martins, Ricardo (Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica) ; Tonon, Durval José (Universidade Federal de Goiás. Instituto de Matemática e Estatística)
In this paper we study the limit cycles of some classes of piecewise smooth vector fields defined in the two dimensional torus. The piecewise smooth vector fields that we consider are composed by linear, Ricatti with constant coefficients and perturbations of these one, which are given in (3). [...]
2018 - 10.1007/s10884-017-9584-4
Journal of dynamics and differential equations, Vol. 30, Issue 3 (September 2018) , p. 1011-1027  
8.
13 p, 252.7 KB On strictly convex central configurations of the 2n-body problem / Barrabés Vera, Esther (Universitat de Girona. Escola Politècnica Superior) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Escola Politècnica Superior d'Enginyeria de Manresa)
We consider planar central configurations of the Newtonian 2n-body problem consisting in two twisted regular n-gons of equal masses. We prove the conjecture that for n≥ 5 all convex central configurations of two twisted regular n-gons are strictly convex.
2019 - 10.1007/s10884-018-9708-5
Journal of dynamics and differential equations, Vol. 31, Issue 4 (December 2019) , p. 2293-2304  
9.
23 p, 2.6 MB The Markus-Yamabe conjecture does not hold for discontinuous piecewise linear differential systems separated by one straight line / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Menezes, Lucyjane de A. S. (Universidade Federal de Goiás. Instituto de Matemática e Estatística (Brazil))
The Markus-Yamabe conjecture is a conjecture on global asymptotic stability. The conjecture states that if a differentiable system x˙ = f(x) has a singularity and the Jacobian matrix Df(x) has everywhere eigenvalues with negative real part, then the singularity is a global attractor. [...]
2020 - 10.1007/s10884-020-09825-8
Journal of dynamics and differential equations, 2020  
10.
8 p, 240.0 KB On centered co-circular central configurations of the n-body problem / Corbera Subirana, Montserrat (Universitat de Vic - Universitat Central de Catalunya) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
We study the co-circular central configurations of the n-body problem for which the center of mass and the center of the common circle coincide. In particular, we prove that there are no central configurations of this type with all the masses equal except one. [...]
2019 - 10.1007/s10884-018-9699-2
Journal of dynamics and differential equations, Vol. 31, Issue 4 (December 2019) , p. 2053-2060  

Dipòsit Digital de Documents de la UAB : 21 registres trobats   1 - 10següentfinal  anar al registre:
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