Depósito Digital de Documentos de la UAB Encontrados 142 registros  anterior11 - 20siguientefinal  ir al registro: La búsqueda tardó 0.01 segundos. 
11.
10 p, 346.9 KB Regularization of Brouwer translation theorem / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Groisman, Jorge (Universidad de la República. Instituto de Matemática y Estadística Rafael Laguardia (Uruguay)) ; Mañosas Capellades, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The celebrated Brouwer translation theorem asserts that for a preserving orientation fixed point free homeomorphism of the plane, each point belongs to an invariant region where the dynamics is continuously conjugate to a translation. [...]
2022 - 10.1007/s12346-022-00666-y
Qualitative theory of dynamical systems, Vol. 21, Issue 4 (December 2022) , art. 135  
12.
12 p, 350.7 KB Non-equivalence between the Melnikov and the averaging methods for nonsmooth differential systems / Guo, Zhifei (Sichuan University. School of Mathematics) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
It is known that for smooth differential systems in the plane R2 the Melnikov and the averaging methods for studying the limit cycles produce the same results. Here we prove that this is not the case for nonsmooth differential systems in the plane. [...]
2022 - 10.1007/s12346-022-00643-5
Qualitative theory of dynamical systems, Vol. 21, Issue 4 (December 2022) , art. 114  
13.
25 p, 1.5 MB Achievable connectivities of Fatou components for a family of singular perturbations / Canela Sánchez, Jordi (Universitat Jaume I. Institut Universitari de Matemàtiques i Aplicacions de Castelló) ; Jarque i Ribera, Xavier (Universitat de Barcelona. Departament de Matemàtiques i Informàtica) ; Paraschiv, Dan (Universitat de Barcelona. Departament de Matemàtiques i Informàtica)
In this paper we study the connectivity of Fatou components for maps in a large family of singular perturbations. We prove that, for some parameters inside the family, the dynamical planes for the corresponding maps present Fatou components of arbitrarily large connectivity and we determine precisely these connectivities. [...]
2022 - 10.3934/dcds.2022051
Discrete and continuous dynamical systems. Series A, Vol. 42, Issue 9 (September 2022) , p. 4237-4261  
14.
18 p, 377.7 KB Limit cycles of piecewise differential systems with linear Hamiltonian saddles and linear centres / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
We study the continuous and discontinuous planar piecewise differential systems formed by linear centres together with linear Hamiltonian saddles separated by one or two parallel straight lines. When these piecewise differential systems are either continuous or discontinuous separated by one straight line, they have no limit cycles. [...]
2022 - 10.1080/14689367.2022.2037519
Dynamical Systems, Vol. 37, Issue 2 (February 2022) , p. 262-279  
15.
18 p, 607.8 KB Abelian integrals and non-generic turning points / Huzak, Renato (Hasselt University (Belgium)) ; Rojas, David (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística)
In this paper we initiate the study of the Chebyshev property of Abelian integrals generated by a non-generic turning point in planar slow-fast systems. Such Abelian integrals generalize the Abelian integrals produced by a slow-fast Hopf point (or generic turning point), introduced in Dumortier et al. [...]
2022 - 10.1007/s12346-022-00609-7
Qualitative theory of dynamical systems, Vol. 21, Issue 3 (September 2022) , art. 77
2 documentos
16.
11 p, 404.9 KB Meromorphic integrability of the Hamiltonian systems with homogeneous potentials of degree -4 / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Tian, Yuzhou (Sun Yat-sen University. School of Mathematics (China))
We characterize the meromorphic Liouville integrability of the Hamiltonian systems with Hamiltonian H=(p21+p22)/2+1/P(q1,q2), being P(q1,q2) a homogeneous polynomial of degree 4 of one of the following forms ±q41, 4q31q2, ±6q21q22, ±(q21+q22)2, ±q22(6q21−q22), ±q22(6q21+q22), q41+6μq21q22−q42, −q41+6μq21q22+q42 with μ>−1/3 and μ≠1/3, and q41+6μq21q22+q42 with μ≠±1/3. [...]
2021 - 10.3934/dcdsb.2021228
Discrete and continuous dynamical systems. Series B, 2021  
17.
18 p, 409.4 KB Forward triplets and topological entropy on trees / Alsedà i Soler, Lluís (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Juher, David (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística) ; Mañosas Capellades, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We provide a new and very simple criterion of positive topological entropy for tree maps. We prove that a tree map f has positive entropy if and only if some iterate fk has a periodic orbit with three aligned points consecutive in time, that is, a triplet (a,b,c) such that fk(a)=b, fk(b)=c and b belongs to the interior of the unique interval connecting a and c (a forward triplet of fk). [...]
2022 - 10.3934/dcds.2021131
Discrete and continuous dynamical systems. Series A, Vol. 42, Issue 2 (February 2022) , p. 623-641  
18.
43 p, 528.6 KB Differentiable invariant manifolds of nilpotent parabolic points / Cufí Cabré, Clara (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Fontich, Ernest 1955- (Universitat de Barcelona. Departament de Matemàtiques i Informàtica)
We consider a map F of class Cr with a fixed point of parabolic type whose differential is not diagonalizable, and we study the existence and regularity of the invariant manifolds associated with the fixed point using the parameterization method. [...]
2021 - 10.3934/dcds.2021053
Discrete and continuous dynamical systems. Series A, Vol. 41, Issue 10 (October 2021) , p. 4667-4704  
19.
14 p, 396.8 KB Central configurations in the five-body problem : Rhombus plus one / Cornelio, J. Lino (Universidad Juárez Autónoma de Tabasco (Mèxic). División Académica de Ciencias Básicas) ; Álvarez-Ramírez, Martha (Universidad Autónoma Metropolitana-Iztapalapa (Mèxic)) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
We show the existence of central configurations in the planar five-body problem where four bodies are located at the vertices of a rhombus, called rhombus plus one central configurations. Concretely we prove analytically their existence when one diagonal is nearly equal to the sides of the rhombus and when the two diagonals are either equal or nearly equal. [...]
2021 - 10.1007/s12346-021-00486-6
Qualitative theory of dynamical systems, Vol. 20, Issue 2 (July 2021) , art. 51  
20.
15 p, 305.8 KB Integrability and linearizability of a family of three-dimensional quadratic systems / Aziz, Waleed (Salahaddin University-Erbil. Department of Mathematics (Iraq)) ; Amen, Azad (University of Raparin. College of Basic Education (Iraq)) ; Pantazi, Chara (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
We consider a three-dimensional vector field with quadratic nonlinearities and in general none of the axis plane is invariant. For our investigation, we are interesting in the case of (Formula presented. [...]
2021 - 10.1080/14689367.2021.1893661
Dynamical Systems, Vol. 36, Issue 2 (2021) , p. 317-331  

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