Resultados globales: 23 registros encontrados en 0.02 segundos.
Artículos, Encontrados 22 registros
Documentos de investigación, Encontrados 1 registros
Artículos Encontrados 22 registros  1 - 10siguientefinal  ir al registro:
1.
13 p, 622.2 KB Dynamics of the Secant map near infinity / Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Jarque i Ribera, Xavier (Centre de Recerca Matemàtica)
We investigate the root finding algorithm given by the Secant method applied to a real polynomial p of degree k as a discrete dynamical system defined on R2. We extend the Secant map to the real projective plane RP2. [...]
2022 - 10.1080/10236198.2022.2044476
Journal of Difference Equations and Applications, Vol. 28, Issue 10 (2022) , p. 1334-1347  
2.
22 p, 2.1 MB On the basins of attraction of a one-dimensional family of root finding algorithms : from Newton to Traub / Canela Sánchez, Jordi (Universitat Jaume I. Institut Universitari de Matemátiques i Aplicacions de Castelló) ; Evdoridou, Vasiliki (The Open University. School of Mathematics and Statistics (UK)) ; Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Jarque i Ribera, Xavier (Universitat de Barcelona. Departament de Matemàtiques i Informàtica)
In this paper we study the dynamics of damped Traub's methods T when applied to polynomials. The family of damped Traub's methods consists of root finding algorithms which contain both Newton's (δ= 0) and Traub's method (δ= 1). [...]
2023 - 10.1007/s00209-023-03215-8
Mathematische Zeitschrift, Vol. 303, Issue 3 (March 2023) , art. 55  
3.
Bifurcation analysis of the Microscopic Markov Chain Approach to contact-based epidemic spreading in networks / Arenas, Alex (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Gómez, Sergio (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Villadelprat Yagüe, Jordi (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)
The dynamics of many epidemic compartmental models for infectious diseases that spread in a single host population present a second-order phase transition. This transition occurs as a function of the infectivity parameter, from the absence of infected individuals to an endemic state. [...]
2023 - 10.1016/j.chaos.2022.112921
Chaos, solitons and fractals, Vol. 166 (January 2023) , art. 112921  
4.
21 p, 1.6 MB Dynamics of a family of rational operators of arbitrary degree / Campos, Beatriz (Universitat Jaume I. Instituto de Matemáticas y Aplicaciones de Castellón) ; Canela Sánchez, Jordi (Centre de Recerca Matemàtica) ; Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Vindel, Pura (Universitat Jaume I. Instituto de Matemáticas y Aplicaciones de Castellón)
In this paper we analyse the dynamics of a family of rational operators coming from a fourth-order family of root-finding algorithms. We first show that it may be convenient to redefine the parameters to prevent redundancies and un-boundedness of problematic parameters. [...]
2021 - 10.3846/mma.2021.12642
Mathematical Modelling and Analysis, Vol. 26, Issue 2 (May 2021) , p. 188-208
2 documentos
5.
27 p, 2.6 MB Topological properties of the immediate basins of attraction for the secant method / Gardini, Laura (University of Urbino. Department of Economics, Society and Politics) ; 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 study the discrete dynamical system defined on a subset of R given by the iterates of the secant method applied to a real polynomial p. Each simple real root α of p has associated its basin of attraction A(α) formed by the set of points converging towards the fixed point (α, α) of S. [...]
2021 - 10.1007/s00009-021-01845-y
Mediterranean Journal of Mathematics, Vol. 18, Issue 5 (October 2021) , art. 221
2 documentos
6.
26 p, 551.6 KB On the separatrix graph of a rational vector field on the Riemann sphere / Dias, Kealey (Bronx Community College of the City University of New York (USA)) ; Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)
We consider the rational flow ξR(z) = R(z)(d/dz) where R is given by the quotient of two polynomials without common factors on the Riemann sphere. The separatrix graph ΓR is the boundary between trajectories with different properties. [...]
2021 - 10.1016/j.jde.2021.02.021
Journal of differential equations, Vol. 282 (May 2021) , p. 541-565  
7.
27 p, 761.6 KB Singular perturbations of zⁿ with a pole on the unit circle / Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Marotta, Sebastian M. (University of the Pacific. Department of Mathematics (USA))
We consider the family of complex maps given by fλ,a (z) = z n + λ/(z − a)d where n, d ≥ 1 are integers, and a and λ are complex parameters such that a = 1 and is sufficiently small. We focus on the topological characteristics of the Julia and Fatou sets of fλ,a.
2010 - 10.1080/10236190903257842
Journal of Difference Equations and Applications, Vol. 16, Issue 5-6 (May 2010) , p. 573-595  
8.
12 p, 514.1 KB The secant map applied to a real polynomial with multiple roots / Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Jarque i Ribera, Xavier (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi)
We investigate the plane dynamical system given by the secant map applied to a polynomial p having at least one multiple root of multiplicity d > 1. We prove that the local dynamics around the fixed points associated to the roots of p depend on the parity of d.
2019 - 10.3934/dcds.2020133
Discrete and Continuous Dynamical Systems. Series A, vol. 40 12 2019, p. 6783-6794  
9.
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  
10.
41 p, 860.7 KB Generalized rings around the McMullen domain / Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Jang, HyeGyong (University of Science Pyongyang. Faculty of Mathematics (DPR of Korea)) ; Marotta, Sebastian M. (Boston University. Department of Mathematics (USA))
We consider the family of rational maps given by F (z) = z + λ/ z where n, d∈ N with 1 / n+ 1 / d< 1, the variable z∈ C^ and the parameter λ∈ C. It is known that when n= d≥ 3 there are infinitely many rings S with k∈ N, around the McMullen domain. [...]
2019 - 10.1007/s12346-018-0287-y
Qualitative theory of dynamical systems, Vol. 18, Issue 1 (April 2019) , p. 233-264  

Artículos : Encontrados 22 registros   1 - 10siguientefinal  ir al registro:
Documentos de investigación Encontrados 1 registros  
1.
132 p, 26.4 MB On a family of degree 4 Blaschke products / Canela Sánchez, Jordi ; Fagella Rabionet, Núria, dir. ; Garijo, Antoni, dir. ; Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi
[Barcelona] : Universitat de Barcelona, 2015  

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