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Depósito Digital de Documentos de la UAB Encontrados 43 registros  1 - 10siguientefinal  ir al registro: La búsqueda tardó 0.02 segundos. 
1.
88 p, 4.4 MB Structurally Unstable Quadratic Vector Fields of Codimension Two : Families Possessing One Finite Saddle-Node and a Separatrix Connection / Artés Ferragud, Joan Carles (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
This paper is part of a series of works whose ultimate goal is the complete classification of phase portraits of quadratic differential systems in the plane modulo limit cycles. It is estimated that the total number may be around 2000, so the work to find them all must be split in different papers in a systematic way so to assure the completeness of the study and also the non intersection among them. [...]
2024 - 10.1007/s12346-023-00882-0
Qualitative theory of dynamical systems, Vol. 23, Issue 1 (February 2024) , art. 40  
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2.
11 p, 281.1 KB Cyclicity Near Infinity in Piecewise Linear Vector Fields Having a Nonregular Switching Line / Bastos, Jefferson L. R. (Universidade Estadual Paulista. Departamento de Matemática) ; Buzzi, Claudio (Universidade Estadual Paulista. Departamento de Matemática) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we recover the best lower bound for the number of limit cycles in the planar piecewise linear class when one vector field is defined in the first quadrant and a second one in the others. [...]
2023 - 10.1007/s12346-023-00817-9
Qualitative theory of dynamical systems, Vol. 22, Issue 4 (December 2023) , art. 125  
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3.
Number of limit cycles for planar systems with invariant algebraic curves / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Giacomini, Hector (Centre National de la Recherche Scientifique. Université de Tours. Institut Denis Poisson)
For planar polynomials systems the existence of an invariant algebraic curve limits the number of limit cycles not contained in this curve. We present a general approach to prove non-existence of periodic orbits not contained in this given algebraic curve. [...]
2023 - 10.1007/s12346-023-00746-7
Qualitative theory of dynamical systems, Vol. 22, Issue 2 (June 2023) , art. 44  
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4.
17 p, 387.7 KB Convexity and symmetry of central configurations in the five-body problem : Lagrange plus two / Barrabés Vera, Esther (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Fernandes, Antonio Carlos (Universidade Federal de Itajubá. Instituto de Matemática e Computação (Brazil)) ; Vidal, Claudio (Universidad del Bío-Bío. Departamento de Matemática (Chile))
We study convexity and symmetry of central configurations in the five body problem when three of the masses ara located at the vertices of an equilateral triangle, that we call Lagrange plus two central configurations. [...]
2021 - 10.1007/s12346-021-00504-7
Qualitative theory of dynamical systems, Vol. 20, Issue 3 (November 2021) , art. 63  
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5.
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  
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6.
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  
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7.
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
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8.
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  
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9.
35 p, 542.0 KB Simultaneous Bifurcation of Limit Cycles and Critical Periods / Oliveira, Regilene (Universidade de São Paulo. Departamento de Matemática) ; Sanchez Sanchez, Ivan (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The present work introduces the problem of simultaneous bifurcation of limit cycles and critical periods for a system of polynomial differential equations in the plane. The simultaneity concept is defined, as well as the idea of bi-weakness in the return map and the period function. [...]
2022 - 10.1007/s12346-021-00546-x
Qualitative theory of dynamical systems, Vol. 21, Issue 1 (March 2022) , art. 20  
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10.
36 p, 651.2 KB On the singularities of the planar cubic polynomial differential systems and the Euler Jacobi formula / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática (Portugal))
Using the Euler-Jacobi formula we obtain an algebraic relation between the singular points of a polynomial vector field and their topological indices. Using this formula we obtain the configuration of the singular points together with their topological indices for the planar cubic polynomial differential systems when these systems have nine finite singular points.
2020 - 10.1007/s12346-020-00435-9
Qualitative theory of dynamical systems, Vol. 19, Issue 3 (December 2020) , art. 96  
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