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Depósito Digital de Documentos de la UAB Encontrados 19 registros  1 - 10siguiente  ir al registro: La búsqueda tardó 0.03 segundos. 
1.
22 p, 367.9 KB Lower bounds for the number of limit cycles in a generalised Rayleigh-Liénard oscillator / Euzébio, R (Federal University of Goiás. Institute of Mathematics and Statistics) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Tonon, Durval José (Federal University of Goiás. Institute of Mathematics and Statistics)
In this paper a generalised Rayleigh-Liénard oscillator is consider and lower bounds for the number of limit cycles bifurcating from weak focus equilibria and saddle connections are provided. By assuming some open conditions on the parameters of the considered system the existence of up to twelve limit cycles is provided. [...]
2022 - 10.1088/1361-6544/ac7691
Nonlinearity, Vol. 35, Issue 8 (August 2022) , p. 3883-3906  
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2.
17 p, 419.6 KB Tips of tongues in the double standard family / Banerjee, Kuntal (Presidency University (India)) ; Buff, Xavier (Centre National de la Recherche Scientifique. Université de Toulouse. Institut de Mathématiques de Toulouse) ; Canela Sánchez, Jordi (Centre de Recerca Matemàtica) ; Epstein, Adam (University of Warwick. Mathematics Institute)
We answer a question raised by Misiurewicz and Rodrigues concerning the family of degree two circle maps F : R/Z → R/Z defined by F(x):= 2x + a + sin(2πx) with λ:= (a, b) ∈ R/Z × (0, 1). We prove that if F - id has a zero of multiplicity three in R/Z, then there is a system of local coordinates (α, β): W → R defined in a neighborhood W of λ, such that α(λ) = β(λ) = 0 and F - id has a multiple zero with μ ∈ W if and only if β(μ) = α(μ). [...]
2021 - 10.1088/1361-6544/ac2d80
Nonlinearity, Vol. 34, Issue 12 (December 2021) , p. 8174-8191  
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3.
27 p, 521.7 KB Some results on homoclinic and heteroclinic connections in planar systems / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Giacomini, Hector (Université de Tours. Laboratoire de Mathématiques et Physique Théorique (France)) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Consider a family of planar systems depending on two parameters (n, b) and having at most one limit cycle. Assume that the limit cycle disappears at some homoclinic (or heteroclinic) connection when Φ(n, b) = 0. [...]
2010 - 10.1088/0951-7715/23/12/001
Nonlinearity, Vol. 23, Issue 12 (December 2010) , p. 2977-3001  
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4.
22 p, 1.3 MB A Bendixson-Dulac theorem for some piecewise systems / Da Cruz, Leonardo Pereira Costa (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The Bendixson-Dulac Theorem provides a criterion to find upper bounds for the number of limit cycles in analytic differential systems. We extend this classical result to some classes of piecewise differential systems. [...]
2020 - 10.1088/1361-6544/ab6812
Nonlinearity, Vol. 33, Num. 5 (May 2020) , p. 2455-2480  
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5.
26 p, 1.4 MB Global dynamics of the real secant method / Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Jarque i Ribera, Xavier (Universitat de Barcelona. Departament de Matemàtiques i Informàtica)
We investigate the root finding algorithm given by the secant method applied to a real polynomial p as a discrete dynamical system defined on R2. We study the shape and distribution of the basins of attraction associated to the roots of p, and we also show the existence of other stable dynamics that might affect the efficiency of the algorithm. [...]
2019 - 10.1088/1361-6544/ab2f55
Nonlinearity, Vol. 32, Issue 11 (November 2019) , p. 4557-4578  
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6.
26 p, 414.4 KB New lower bounds for the Hilbert numbers using reversible centers / Prohens, Rafel (Universitat de les Illes Balears. Departament de Ciències Matemàtiques i Informàtica) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we provide the best lower bounds, that are known up to now, for the Hilbert numbers of polynomial vector fields of degree N,, for small values of N. These limit cycles appear bifurcating from symmetric Darboux reversible centers with very high simultaneous cyclicity. [...]
2019 - 10.1088/1361-6544/aae94d
Nonlinearity, Vol. 32, Núm. 1 (January 2019) , p. 331-355  
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7.
28 p, 445.8 KB Periodic oscillators, isochronous centers and resonance / Ortega, Rafael (Universidad de Granada. Departamento de Matemática Aplicada) ; Rojas, David (Universidad de Granada. Departamento de Matemática Aplicada)
An oscillator is called isochronous if all motions have a common period. When the system is forced by a time-dependent perturbation with the same period the dynamics may change and the phenomenon of resonance can appear. [...]
2019 - 10.1088/1361-6544/aaee9a
Nonlinearity, Vol. 32, Núm. 3 (March 2019) , p. 800-832  
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8.
23 p, 801.7 KB On the multiple zeros of a real analytic function with applications to the averaging theory of differential equations / García, Isaac (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Maza, Susanna (Universitat de Lleida. Departament de Matemàtica)
In this work we improve the classical averaging theory applied to -families of analytic T-periodic ordinary differential equations in standard form defined on R. First we characterize the set of points z_0 in the phase space and the parameters where T-periodic solutions can be produced when we vary a small parameter . [...]
2018 - 10.1088/1361-6544/aab592
Nonlinearity, Vol. 31, issue 6 (2018) , p. 2666-2688  
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9.
31 p, 573.9 KB Persistence of periodic solutions for higher order perturbed differential systems via Lyapunov-Schmidt reduction / Cândido, Murilo R. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Novaes, Douglas D. (Universidade Estadual de Campinas (Brasil). Departamento de Matemática)
2017 - 10.1088/1361-6544/aa7e95
Nonlinearity, Vol. 30 Núm. 9 (2017) , p. 3560-3586  
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10.
36 p, 2.3 MB Tongues in Degree 4 Blaschke Products / Canela Sánchez, Jordi (Inst. of Math. Polish Academy of Sciences(Poland)) ; Fagella Rabionet, Núria (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi) ; Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)
The goal of this paper is to investigate the family of Blasche products B_a(z)=z^3-a1- which is a rational family of perturbations of the doubling map. We focus on the tongue-like sets which appear in its parameter plane. [...]
2016
Nonlinearity, Vol. 29 (2016) , p. 3464-3495  
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Depósito Digital de Documentos de la UAB : Encontrados 19 registros   1 - 10siguiente  ir al registro:
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