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View article: A phase-portrait stability analysis for a reaction wheel pendulum using a generalized backstepping control approach
A phase-portrait stability analysis for a reaction wheel pendulum using a generalized backstepping control approach Open
This research presents a stability analysis of a reaction wheel pendulum (RWP) using the phase-portrait method. To derive the general control law that stabilizes the RWP system in the upper vertical position, a comprehensive backstepping c…
View article: Stability by assigning structures by applying the multivariable subspace identification algorithm for a wind system with a DFIG
Stability by assigning structures by applying the multivariable subspace identification algorithm for a wind system with a DFIG Open
In this paper, a controller for a doubly fed induction generator (DFIG) connected to a wind system is proposed. This control assigning its own structures as an optimal control method, the electric model in the DFIG state space is also show…
View article: Solution of the traffic flow equation using the finite element method
Solution of the traffic flow equation using the finite element method Open
In this document we will study and solve the nonlinear partial differential equation, with initial conditions for vehicle entry that serves to model the dynamics of traffic flow. To find a numerical solution to the dynamics that govern the…
View article: Pattern recognition for the modification of characteristics using non-linear techniques
Pattern recognition for the modification of characteristics using non-linear techniques Open
Traditional data processing applications are unsuitable for handling large amounts of data. To achieve an efficient manipulation and extraction of characteristics or samples that the information represents, it is necessary to know aspects …
View article: A DIDACTIC PROPOSAL FOR TEACHING SELECTED TOPICS OF COMPLEX VARIABLES IN MIDDLE EDUCATION
A DIDACTIC PROPOSAL FOR TEACHING SELECTED TOPICS OF COMPLEX VARIABLES IN MIDDLE EDUCATION Open
This research adopts a mixed-methods approach to explore and enhance middle-class students' understanding of complex numbers. The study delves into the relationships, applications and real-life contexts of complex numbers, considering thei…
View article: Analysis of Convergence and Noise Terms in the Adomian Decomposition Method for Nonlinear PDEs
Analysis of Convergence and Noise Terms in the Adomian Decomposition Method for Nonlinear PDEs Open
In this study, we enter the field of nonlinear partial differential equations (PDEs) and propose a novel approach to their solution. We employ the iterative Adomian decomposition method (ADM) to address a distinct subclass of nonlinear PDE…
View article: FRACTIONAL ORDER PID CONTROLLER VERSUS A TRADITIONAL PID CONTROLLER IN A BRUSHLESS DC MOTOR WITH PULSE WIDTH MODULATION INPUT
FRACTIONAL ORDER PID CONTROLLER VERSUS A TRADITIONAL PID CONTROLLER IN A BRUSHLESS DC MOTOR WITH PULSE WIDTH MODULATION INPUT Open
This paper aimed to establish a methodology for developing a fractional order proportional-integral-derivative controller using Caputo's definition to solve for fractional derivatives. For that, this study used Laplace transform, which mad…
View article: WKB METHOD FOR SOME NONLINEAR EQUATIONS: A SPECIAL CASE
WKB METHOD FOR SOME NONLINEAR EQUATIONS: A SPECIAL CASE Open
This paper introduces a novel application of the Wentzel-Kramers-Brillouin (WKB) method to the Schrödinger equation, with the aim of incorporating certain nonlinear modifications that consider gravitational interaction within the wave func…
View article: THE CAPUTO EQUATION AS A MODEL OF PARTICLE SPREADING IN A NON-CLASSICAL DIFFUSION PROCESS: A SPECIAL CASE
THE CAPUTO EQUATION AS A MODEL OF PARTICLE SPREADING IN A NON-CLASSICAL DIFFUSION PROCESS: A SPECIAL CASE Open
The main objective of this article is to present the application of the Mittag-Leffler function in anomalous diffusion modeling using the Caputo equation. Anomalous diffusion refers to non-classical diffusion processes in which traditional…
View article: Conceptions of Primary School Teachers about the Introduction of Early Algebra: Teaching Implications
Conceptions of Primary School Teachers about the Introduction of Early Algebra: Teaching Implications Open
Thinking about the introduction of algebra in the first years of school implies, among other aspects, a transformation of the school mathematics curriculum and a change in the limited and traditional conceptions that are held about its tea…
View article: COMPARISON OF SUPPORT VECTOR MACHINES AND CLASSIFICATION AND REGRESSION TREE CLASSIFIERS ON THE IRIS DATA SET
COMPARISON OF SUPPORT VECTOR MACHINES AND CLASSIFICATION AND REGRESSION TREE CLASSIFIERS ON THE IRIS DATA SET Open
The classification problem is the most applicable today; its implementations are face recognition, data grouping, and color classification. The primary objective of this study will be to address this last problem; that is to say: We will p…
View article: Exploring Trigonometric Treasures: A Dynamic Approach to Teaching the Sine and Cosine Functions Using Realistic Mathematics Education and GeoGebra - A Case Study
Exploring Trigonometric Treasures: A Dynamic Approach to Teaching the Sine and Cosine Functions Using Realistic Mathematics Education and GeoGebra - A Case Study Open
This study is situated within the framework of realistic mathematics education (RME) and presents a classroom proposal aimed at illuminating and modeling everyday periodic phenomena. Emphasis is placed on recognizing periodic functions as …
View article: SOLUTION TO THE KDV EQUATION USING FEM
SOLUTION TO THE KDV EQUATION USING FEM Open
The main objective of the following document is to present an approximate numerical solution of the Korteweg de Vries (KdV) equation, since it has a wide field of applications, such as acoustics, molecular biology, optics, and quantum mech…
View article: USE OF VIBRATION SIGNALS IN BEARINGS IN THE CALCULATION OF DEGRADATION LEVELS FROM DATA FUSION
USE OF VIBRATION SIGNALS IN BEARINGS IN THE CALCULATION OF DEGRADATION LEVELS FROM DATA FUSION Open
This work shows the importance of parameterizing and extracting the characteristics when describing vibration signals. For this purpose, we use techniques based on calculating characteristics in the time and frequency domain and genetic al…
View article: A DIDACTIC APPROACH TO EXPLORE THE CONCEPT OF INFINITY THROUGH ICT IN MIDDLE SCHOOL
A DIDACTIC APPROACH TO EXPLORE THE CONCEPT OF INFINITY THROUGH ICT IN MIDDLE SCHOOL Open
The learning of the concept of infinity, mediated by information and communications technology (ICT) and under a didactic engineering approach, has been the objective of this research. Didactic engineering, with its different phases, has s…
View article: BLOW-UP CRITERION IN THE LORENZ SYSTEM
BLOW-UP CRITERION IN THE LORENZ SYSTEM Open
This paper explores the application of the blow-up criterion to the Lorenz system to establish the possibility of a finite-time outburst when a quadratic term is present. The Lorenz system, a set of differential equations that models atmos…
View article: TEMPERATURE CONTROL FOR A CONTINUOUSLY STIRRED REACTOR
TEMPERATURE CONTROL FOR A CONTINUOUSLY STIRRED REACTOR Open
The objective of this article is to model, by using a system of ordinary differential equations, the behavior of a reaction in a continuously stirred tank, a model that is highly presented in the industry in general and in particular in th…
View article: Solution to the Klein–Gordon Equation Using FEM
Solution to the Klein–Gordon Equation Using FEM Open
The main objective of this paper is to present an approximate numerical solution of the Klein-Gordon equation. For this purpose, the basic concepts associated with the numerical method used to obtain the approximate solution will be presen…
View article: NUMERICAL ANALYSIS OF THE DUFFING EQUATION: A COMPARATIVE STUDY
NUMERICAL ANALYSIS OF THE DUFFING EQUATION: A COMPARATIVE STUDY Open
This research aims to carry out an exhaustive comparison between the formulation of the finite difference method and the Runge-Kutta method as numerical approaches to determine the solution of the Duffing oscillator. The Duffing oscillator…
View article: Dynamic systems with delays under the smith predictor methodology
Dynamic systems with delays under the smith predictor methodology Open
This contribution presents a solution to the dead time problem that is known as "Smith Predictor." This solution allows us to use already known techniques for the design of controllers for systems without delay and adapt them to systems wi…
View article: Hopf bifurcation in the study of synchronous motor stability
Hopf bifurcation in the study of synchronous motor stability Open
In this document the dynamic model of the synchronous motor is presented, which has a typical structure of Lienard-type systems, the theory of dynamic systems is used, especially bifurcations, in this case, Hopf’s, which will be applied to…
View article: Finite element analysis of the voltage induced by a pair of electrodes in a cell membrane
Finite element analysis of the voltage induced by a pair of electrodes in a cell membrane Open
This document analyses the distribution of the electric potential due to two electrodes that excite a membrane. The solution obtained numerically was approximated by means of the finite element method. The qualitative analysis of the resul…
View article: Physical implementation of optimal control over a direct current
Physical implementation of optimal control over a direct current Open
In the next manuscript we will show an interesting physical application of the technique of optimal control over a direct current, more exactly on a direct current motor. For this, the mathematical support or scaffolding that allows to est…
View article: Comparison descent directions for Conjugate Gradient Method
Comparison descent directions for Conjugate Gradient Method Open
In the following manuscript we will show as a starting point a theoretical analysis of the gradient method, known as one of the first descent methods, and from this we will identify the strength of the conjugate gradient methods. Taking an…
View article: Methodology of robust inverted pendulum controllers on a vehicle
Methodology of robust inverted pendulum controllers on a vehicle Open
In the theory of controllers, the simple and inverted pendulum play an important role due to the equations that result from them, which imply non-linearities and perturbations, thus, in this article, a brief classification of inverted pend…
View article: Using implementation of artificial intelligence in estimating the exchange rate in the foreign exchange market
Using implementation of artificial intelligence in estimating the exchange rate in the foreign exchange market Open
The Foreign Exchange currency market is considered the most liquid market in the world due to the amount of money that is traded every day. Researchers and investors are interested in having a system that allows predicting the direction of…
View article: Analysis for the reconstruction of attractors by reconstruction of phase spaces using delay times
Analysis for the reconstruction of attractors by reconstruction of phase spaces using delay times Open
Being able to estimate the behavior of a system from observable data is one of the great difficulties that any system presents. This problem presents a challenge for researchers who perform scenario estimation and forecasting. In most prob…
View article: Optimal closed-loop control for different generation scenarios
Optimal closed-loop control for different generation scenarios Open
This article studies the stability of the model posed by the second-order dynamics of the synchronous machine connected to an infinite busbar. A semi-defined programming problem is formulated to obtain a closed-loop controller that stabili…
View article: Numerical solution through finite elements for dielectric materials in space
Numerical solution through finite elements for dielectric materials in space Open
The study of physical models is generally modeled by means of partial differential equations which is still an open field in current research, such is the case of Laplace's differential equation which is surely one of the most important re…
View article: Regularization algorithm and its implementation in general systems theory and its implications in physics
Regularization algorithm and its implementation in general systems theory and its implications in physics Open
In recent years a new physics known as complexity has emerged, whose fundamental structure is based on the general theory of systems or the so-called mathematical biology. There, problems arise with a large number of variables on which dec…