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Resultados globales: 28 registros encontrados en 0.03 segundos.
Artículos, Encontrados 28 registros
Artículos Encontrados 28 registros  1 - 10siguientefinal  ir al registro:
1.
79 p, 1.0 MB The criticality of reversible quadratic centers at the outer boundary of its period annulus / Marín Pérez, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Villadelprat Yagüe, Jordi (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Centre de Recerca Matemàtica
This paper deals with the period function of the reversible quadratic centers where . Compactifying the vector field to , the boundary of the period annulus has two connected components, the center itself and a polycycle. [...]
2022 - 10.1016/j.jde.2022.05.026
Journal of differential equations, Vol. 332 (Sep. 2022) , p. 123-201  
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2.
37 p, 677.7 KB Some open problems in low dimensional dynamical systems / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The aim of this paper is to share with the mathematical community a list of 33 problems that I have found along the years in my research. I believe that it is worth to think about them and, hopefully, solve some of the problems or make some substantial progress. [...]
2021 - 10.1007/s40324-021-00244-3
SeMA Journal, Vol. 78, Issue 3 (September 2021) , p. 233-269  
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3.
9 p, 450.4 KB Non-bifurcation of critical periods from semi-hyperbolic polycycles of quadratic centres / Marín Pérez, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Saavedra, M. (Universidad de Concepción. Departamento de Matemática (Chile)) ; Villadelprat Yagüe, Jordi (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)
In this paper we consider the unfolding of saddle-node X=1xUa(x,y)(x(xμ−ε)∂x−Va(x)y∂y), parametrized by (ε,a) with ε≈0 and a in an open subset A of Rα, and we study the Dulac time T(s;ε,a) of one of its hyperbolic sectors. [...]
2021 - 10.1017/prm.2021.72
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, (December 2021)  
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4.
12 p, 413.8 KB Periods of Morse-Smale diffeomorphisms on Sn, Sm × Sn, CPn and HPn / Cufí Cabré, Clara (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We study the set of periods of the Morse-Smale diffeomorphisms on the n-dimensional sphere Sn, on products of two spheres of arbitrary dimension Sm×Sn with m≠n, on the n-dimensional complex projective space CPn and on the n-dimensional quaternion projective space HPn. [...]
2022 - 10.1007/s11784-021-00918-5
Journal of fixed point theory and applications, Vol. 24, Issue 1 (February 2022) , art. 4  
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5.
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  
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6.
22 p, 816.7 KB Period function of planar turning points / Huzak, Renato (Hasselt University. Campus Diepenbeek (Belgium)) ; Rojas, David (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística)
This paper is devoted to the study of the period function of planar generic and non-generic turning points. In the generic case (resp. non-generic) a non-degenerate (resp. degenerate) center disappears in the limit ɛ → 0, where ɛ ≥ 0 is the singular perturbation parameter. [...]
2021 - 10.14232/ejqtde.2021.1.16
Electronic Journal of Qualitative Theory of Differential Equations, Vol. 2021, Issue 16 (2021) , p. 1-21
2 documentos
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7.
23 p, 450.9 KB The local period function for Hamiltonian systems with applications / Buzzi, Claudio (Universidade Estadual Paulista Julio de Mesquita Filho. Mathematics Department (Brazil)) ; Carvalho, Yagor Romano (Universidade Estadual Paulista Julio de Mesquita Filho. Mathematics Department (Brazil)) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In the first part of the paper we develop a constructive procedure to obtain the Taylor expansion, in terms of the energy, of the period function for a non-degenerated center of any planar analytic Hamiltonian system. [...]
2021 - 10.1016/j.jde.2021.01.033
Journal of differential equations, Vol. 280 (April 2021) , p. 590-617  
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8.
22 p, 352.2 KB Criticality via first order development of the period constants / Sánchez-Sánchez, Iván (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this work we study the criticality of some planar systems of polynomial differential equations having a center for various low degrees n. To this end, we present a method which is equivalent to the use of the first non-identically zero Melnikov function in the problem of limit cycles bifurcation, but adapted to the period function. [...]
2021 - 10.1016/j.na.2020.112164
Nonlinear Analysis : Theory, Methods and Applications, Vol. 203 (February 2021) , art. 112164  
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9.
12 p, 630.6 KB On the period function in a class of generalized Lotka-Volterra systems / Villadelprat Yagüe, Jordi (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi)
In this note, motivated by the recent results of Wang et al. [Wang et al. , Local bifurcations of critical periods in a generalized 2D LV system, Appl. Math. Comput. 214 (2009) 17-25], we study the behaviour of the period function of the center at the point (1,1) of the planar differential system {u' = up(1−vq),v'= μvq(up−1), where p, q, μ ∈ R with pq > 0 and μ > 0. [...]
2010 - 10.1016/j.amc.2010.03.025
Applied Mathematics and Computation, Vol. 216, Issue 7 (June 2010) , p. 1956-1964  
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10.
19 p, 499.4 KB Bifurcation of critical periods from Pleshkan's isochrones / Grau, Maite (Universitat de Lleida. Departament de Matemàtica) ; Villadelprat Yagüe, Jordi (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)
Pleshkan proved in 1969 that, up to a linear transformation and a constant rescaling of time, there are four isochrones in the family of cubic centers with homogeneous nonlinearities ℓ3. In this paper we prove that if we perturb any of these isochrones inside ℓ3, then at most two critical periods bifurcate from its period annulus. [...]
2010 - 10.1112/jlms/jdp062
Journal of the London Mathematical Society, Vol. 81, Issue 1 (February 2010) , p. 142-160  
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Artículos : Encontrados 28 registros   1 - 10siguientefinal  ir al registro:
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