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Resultats globals: 13 registres trobats en 0.02 segons.
Articles, 13 registres trobats
Articles 13 registres trobats  1 - 10següent  anar al registre:
1.
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
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2.
13 p, 345.6 KB Limit cycles for some families of smooth and non-smooth planar systems / 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)
We apply the averaging method in a class of planar systems given by a linear center perturbed by a sum of continuous homogeneous vector fields, to study lower bounds for their number of limit cycles. [...]
2021 - 10.1016/j.na.2021.112298
Nonlinear Analysis : Theory, Methods and Applications, Vol. 207 (June 2021) , p. 112298  
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3.
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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4.
13 p, 392.0 KB A Chebyshev criterion with applications / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Geyer, Anna (Delft University of Technology. Delft Institute of Applied Mathematics (The Netherlands)) ; Mañosas Capellades, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We show that a family of certain definite integrals forms a Chebyshev system if two families of associated functions appearing in their integrands are Chebyshev systems as well. We apply this criterion to several examples which appear in the context of perturbations of periodic non-autonomous ODEs to determine bounds on the number of isolated periodic solutions, as well as to persistence problems of periodic solutions for perturbed Hamiltonian systems.
2020 - 10.1016/j.jde.2020.05.015
Journal of differential equations, Vol. 269, Issue 9 (October 2020) , p. 6641-6655  
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5.
27 p, 6.8 MB Connectivity of the Julia set for the Chebyshev-Halley family on degree n polynomials / Campos, Beatriz (Universitat Jaume I. Institut Universitari de Matemàtiques i Aplicacions de Castelló) ; Canela Sánchez, Jordi (Université Paris-Est Marne-la-Vallée (France)) ; Vindel, Pura (Universitat Jaume I. Institut Universitari de Matemàtiques i Aplicacions de Castelló)
We study the Chebyshev-Halley family of root finding algorithms from the point of view of holomorphic dynamics. Numerical experiments show that the speed of convergence to the roots may be slower when the basins of attraction are not simply connected. [...]
2020 - 10.1016/j.cnsns.2019.105026
Communications in nonlinear science and numerical simulation, Vol. 82 (March 2020) , art. 105026  
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6.
23 p, 530.2 KB On the upper bound of the criticality of potential systems at the outer boundary using the Roussarie-Ecalle compensator / Rojas, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
This paper is concerned with the study of the criticality of families of planar centers. More precisely, we study sufficient conditions to bound the number of critical periodic orbits that bifurcate from the outer boundary of the period annulus of potential centers. [...]
2019 - 10.1016/j.jde.2019.04.021
Journal of differential equations, Vol. 267, Issue 6 (September 2019) , p. 3922-3951  
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7.
23 p, 533.7 KB Analytic tools to bound the criticality at the outer boundary of the period annulus / Mañosas Capellades, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Rojas, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Villadelprat Yagüe, Jordi (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)
In this paper we consider planar potential differential systems and we study the bifurcation of critical periodic orbits from the outer boundary of the period annulus of a center. In the literature the usual approach to tackle this problem is to obtain a uniform asymptotic expansion of the period function near the outer boundary. [...]
2018 - 10.1007/s10884-016-9559-x
Journal of dynamics and differential equations, Vol. 30, issue 3 (Sep. 2018) , p. 883-909  
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8.
8 p, 483.6 KB On the Chebyshev property of certain Abelian integrals near a polycycle / Marín Pérez, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Villadelprat Yagüe, Jordi (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)
F. Dumortier and R. Roussarie formulated in (Discrete Contin. Dyn. Syst. 2 (2009) 723-781] a conjecture concerning the Chebyshev property of a collection I₀,I₁,. . . ,In of Abelian integrals arising from singular perturbation problems occurring in planar slow-fast systems. [...]
2018 - 10.1007/s12346-017-0226-3
Qualitative theory of dynamical systems, Vol. 17, issue 1 (April 2018) , p. 261-270  
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9.
15 p, 386.1 KB Upper bounds for the number of zeroes for some Abelian integrals / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Consider the vector field x' = −yG(x, y), y' = xG(x, y), where the set of critical points {G(x, y) = 0} is formed by K straight lines, not passing through the origin and parallel to one or two orthogonal directions. [...]
2012 - 10.1016/j.na.2012.04.033
Nonlinear Analysis : Theory, Methods and Applications, Vol. 75 (2012) , p. 5169-5179  
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10.
7 p, 310.9 KB A new Chebyshev family with applications to Abel equations / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We prove that a family of functions defined through some definite integrals forms an extended complete Chebyshev system. The key point of our proof consists of reducing the study of certain Wronskians to the Gram determinants of a suitable set of new functions. [...]
2012 - 10.1016/j.jde.2011.06.010
Journal of differential equations, Vol. 252 (2012) , p. 1635-1641  
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Articles : 13 registres trobats   1 - 10següent  anar al registre:
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