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Browsing DMAT - Artículos by Issue Date
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Modelización matemática en secundaria desde un punto de vista superior: EL PROBLEMA DE DOBOGÓKÓ
Romero Sánchez, Sixto
; Castro Gutiérrez, Fernando (Universitat Politècnica de València, 2008-12)
El presente trabajo describe y analiza una experiencia de modelización matemática que bien podría desarrollarse en el aula con alumnos de secundaria. Las distintas etapas del proceso de modelización seguido se describen ... -
Analysis of the T-point-Hopf bifurcation with Z2-symmetry : application to chua's equation
Algaba Durán, Antonio; Fernández Sánchez, Fernando; Merino Morlesín, Manuel; Rodríguez Luis, Alejandro José (World Scientific, 2010)
The aim of this work is twofold - on the one hand, to perform a theoretical analysis of the global behavior organized by a T-point-Hopf in Z(2)-symmetric systems; on the other hand, to apply the obtained results for a ... -
Detecting the optic disc boundary in digital fundus images using morphological, edge detection, and feature extraction techniques
Gegúndez Arias, Manuel Emilio; Marín Santos, Diego; Aquino Martín, Arturo (IEEE, 2010-11)
Optic disc (OD) detection is an important step in developing systems for automated diagnosis of various serious ophthalmic pathologies. This paper presents a new template-based methodology for segmenting the OD from digital ... -
Nilpotent Systems Admitting an Algebraic Inverse Integrating Factor over C((x,y))
Algaba Durán, Antonio; García García, Cristóbal, Matemático; Reyes Columé, Manuel (Springer Verlag, 2011)
We characterize the nilpotent systems whose lowest degree quasihomogeneous term is (y, σ xn)T, σ = ±1, which have an algebraic inverse integrating factor over C((x,y)) . In such cases, we show that the systems admit an ... -
Integrability of two dimensional quasi-homogeneous polynomial differential systems
Algaba Durán, Antonio; García García, Cristóbal, Matemático; Reyes Columé, Manuel (Rocky Mountain Mathematics Consortium, 2011)
In terms of the conservative-dissipative de composition of a vector field, we characterize the two dimensional quasi-homogeneous polynomial differential systems with a polynomial first integral (in these systems, polynomial ... -
A new supervised method for blood vessel segmentation in retinal images by using gray-level and moment invariants-based features
Marín Santos, Diego; Gegúndez Arias, Manuel Emilio; Bravo Caro, José Manuel; Aquino Martín, Arturo (IEEE, 2011-01)
This paper presents a new supervised method for blood vessel detection in digital retinal images. This method uses a neural network (NN) scheme for pixel classification and computes a 7-D vector composed of gray-level and ... -
La resolución de problemas como herramienta para la modelización matemática
Romero Sánchez, Sixto (Universitat Politècnica de València, 2011-12)
La conexión entre las matemáticas y la realidad que nos rodea se ejecuta por medio de actividades de la resolución de problemas contextualizados en nuestro entorno de vida. No hay que olvidar que la Matemática ha evolucionado ... -
On the Formal Integrability Problem for Planar Differential Systems
Algaba Durán, Antonio; García García, Cristóbal; Giné, Jaume (Hindawi Publishing Corporation, 2013)
We study the analytic integrability problem through the formal integrability problem and we show its connection, in some cases, with the existence of invariant analytic (sometimes algebraic) curves. From the results obtained, ... -
La resolución de problemas como instrumentos para la modelización matemática : Ejemplos para la vida real
Romero Sánchez, Sixto; Rodríguez García, Isabel María; Benítez Cambra, Rocío; Salas Martín, Isabel Mª (Universitat Politècnica de València, 2015-12)
No hace muchos años que los investigadores en Educación Matemática han centrado su atención en el diseño de actividades basado en la modelización matemática de situaciones reales con el convencimiento de obtener una mayor ... -
Analytic Integrability of Some Examples of Degenerate Planar Vector Fields
Algaba Durán, Antonio; García García, Cristóbal; Giné, Jaume (Springer, 2016)
This paper is devoted to the classification of analytic integrable cases of two families of degenerate planar vector fields with a monodromic singular point at the origin. This study falls in the still open degenerate ... -
Analytic integrability inside a family of degenerate centers
Algaba Durán, Antonio; Checa Camacho, Isabel; García García, Cristóbal; Giné, Jaume (Elsevier, 2016)
In this paper we study the analytic integrability around the origin inside a family of degenerate centers or perturbations of them. For this family analytic integrability does not imply formal orbital equivalence to a ... -
Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor
Algaba Durán, Antonio; García García, Cristóbal; Giné, Jaume (Elsevier, 2019)
In this work is characterized the analytic integrability problem around a nilpotent singularity for differential systems in the plane under generic conditions. The analytic integrability problem is characterized via the ... -
RINCÓN “SAPERE AUDE”… ¿resolviendo problemas?
Romero Sánchez, Sixto (Sociedad Andaluza de Educación Matemática THALES, 2019-08)
En este número incluimos, aparte de la sección de Joyitas (denominación a los ejercicios que se plantean y resuelven en la segunda parte del artículo) una primera con un breve bosquejo sobre historia de las Matemáticas en ... -
The Root Extraction Problem for Generic Braids
(MDPI, 2019-11)We show that, generically, finding the k-th root of a braid is very fast. More precisely, we provide an algorithm which, given a braid x on n strands and canonical length l, and an integer k > 1, computes a k-th root of ... -
Algebraic integrability of nilpotent planar vector fields
Algaba Durán, Antonio; García García, Cristóbal, Matemático; Reyes Columé, Manuel (Elsevier, 2021)
We characterize, using normal forms of quasi-homogeneous expansions, the analytic vector fields at nilpotent singular point having an algebraic first integral over the ring C [[ x, y ]] . As a consequence, we provide a ... -
Orbital Hypernormal Forms
Algaba Durán, Antonio; Gamero, Estanislao; García García, Cristóbal (MDPI, 2021)
In this paper, we analyze the problem of determining orbital hypernormal forms—that is, the simplest analytical expression that can be obtained for a given autonomous system around an isolated equilibrium point through ... -
A New Normal Form for Monodromic Nilpotent Singularities of Planar Vector Fields
Algaba Durán, Antonio; García García, Cristóbal; Giné, Jaume (Springer, 2021)
In this work, we present a new technique for solving the center problem for nilpotent singularities which consists of determining a new normal form conveniently adapted to study the center problem for this singularity. In ... -
On the Integrability Problem for the Hopf-Zero singularity and its relation with the inverse Jacobi multiplier
Algaba Durán, Antonio; Fuentes Díaz, Natalia; Gamero, Estanislao; García García, Cristóbal (Elsevier, 2021)
In this paper we use the orbital normal form of the nondegenerate Hopf-zero singularity to obtain necessary conditions for the existence of first integrals for such singularity. Also, we analyze the relation between the ... -
Orbital Reversibility of Planar Vector Fields
Algaba Durán, Antonio; García García, Cristóbal; Giné, Jaume (MDPI, 2021-01)
In this work we use the normal form theory to establish an algorithm to determine if a planar vector field is orbitally reversible. In previous works only algorithms to determine the reversibility and conjugate reversibility ... -
On multiplying curves in the Kauffman bracket skein algebra of the thickened four-holed sphere
(World Scientific Publishing, 2022)Based on the presentation of the Kauffman bracket skein algebra of the thickened torus given by the third author in previous work [4], Frohman and Gelca established a complete description of the multiplicative operation ...
