Evguenii Kurmyshev

• PhD
• Professor (Full) at University of Guadalajara

We have developed and present in this work a series of algorithms that display a long-duration electrocardiogram (ECG) in a compact form of stacked beats, extracting and visualizing the basic features and facilitating the tedious and time-consuming process of ECG analysis for cardiologists. The expert system based on this representation provides de...

Opinion dynamics in relative agreement models seen as an extension of bounded confidence ones, involve a new agents’ variable usually called opinion uncertainty and have higher level of complexity than that of bounded confidence models. After revising the meaning of the opinion uncertainty variable we conclude that it has to be interpreted as the a...

In this work, we consider the dynamics of opinion among three parties: two small groups of agents and one very persuasive agent, the indoctrinator. Each party holds a position different from that of the others. In this situation, the opinion space is required to be a circle, on which the agents express their position regarding three different optio...

Opinion dynamics in relative agreement models seen as an extension of bounded confidence ones, involve a new agents’ variable usually called opinion uncertainty and have higher level of complexity than that of bounded confidence models. After revising the meaning of the opinion uncertainty variable we conclude that it has to be interpreted as the a...

In this work, the Lie symmetry theory is used to study the propagation of waves in an elastic string with electric currents in a static magnetic field. Both linear and nonlinear cases of the governing equations of string motion are analyzed. The classification problem of finding the principal admitted Lie groups of symmetries is solved. Some invari...

In this article, the dynamics of a double-acting pneumatic actuator was experimentally studied. To understand the details of dynamics and provide experimental data for further modeling and numerical simulation of actuators, a special test bench was designed. The bench includes a high-resolution linear encoder as well as a dSPACE 1104 data acquisiti...

In this work, we review various nonlinear systems with fractional derivatives of the Riesz type in space. Concretely, we consider partial differential equations with fractional Laplacians, which consider potentials of the Fermi–Pasta–Ulam, sine-Gordon, Klein–Gordon and double sine-Gordon. These regimes have the important feature that some energy fu...

En la enseñanza-aprendizaje pueden considerarse dos objetivos diferentes: el de informar y el de formar. El experimento físico es un fuerte móvil emocional que satisface a los dos objetivos. Hace varios años, uno de autores, propuso la idea de un equipo experimental altamente interactivo para la docencia e investigación de fenómenos ondulatorios, d...

Vibrations of thin stretched string, carrying an alternating electric current in a non-uniform magnetic field are described by nonlinear equations. In the frame of simplified model we study the combined effect of geometric nonlinearity and Joule heating acting opposite each other. Equation, that includes the Joule heating only, shows unlimited ampl...

Ideology is one of the defining elements of opinion dynamics. In this paper, we report the effects of the nonlinear interaction of ideological affinity with the psychological reaction of agents in the frame of a multiparametric mathematical model of opinion dynamics. Computer simulations of artificial networked societies composed of agents of two p...

This textbook, written in Spanish, introduces the methods of Fourier analysis at the comprehensive but sufficiently rigorous and consistent mathematical level. The book consists of three chapters: the first one depicts preliminaries needed for the better understanding of the harmonic analysis, the Fourier series representation of the periodic funct...

Public opinion is formed by means of self-organization of agents' opinion influenced by a leader, the latter uses a strategy to gain as many followers as possible. Efficiency of straightforward, zigzag and staircase strategies of a single leader in the opinion formation in a social network is studied in the frame of C/PA bounded confidence model. R...

Taking a decision in democratic social groups is based on the opinion of the majority or on the consensus. So, the study of opinion dynamics is of great interest in analyzing social phenomena. Among the different models of opinion dynamics, bounded confidence models have been studied in different contexts and shown interesting dynamics [1-3]. In [E...

The ability to simulate and control complex physical situations in real time is an important element of many engineering and robotics applications, including pattern recognition and image classification. One of the ways to meet specific requirements of a process is a reduction of computational complexity of algorithms. In this work we propose a new...

Bounded confidence models of opinion dynamics have been actively studied in recent years, in particular, opinion formation and extremism propagation along with other aspects of social dynamics. In this work, after an analysis of limitations of the Deffuant-Weisbuch (DW) bounded confidence, relative agreement model, we propose the Mixed model that t...

Both the Local Binary Pattern (LBP) and the Coordinated Clusters Representation (CCR) are two methods used successfully in the classification and segmentation of images. They look very similar at first sight. In this work we analyze the principles of the two methods and show that the methods are not reducible to each other. Topologically they are a...

Both the Local Binary Pattern (LBP) and the Coordinated Clusters Representation (CCR) are two methods used successfully in the classification and segmentation of images. They look very similar at first sight. In this work we analyze the principles of the two methods and show that the methods are not reducible to each other. Topologically they are a...

In this work we propose a methodology and programs in MatlabTM that perform the preprocessing and analysis of the derivative D1 of ECGs. The program makes the correction to isoelectric line for each beat, calculates the average cardiac frequency and its standard deviation, generates a file of amplitude of P, Q and T waves, as well as the segments a...

We propose a training algorithm for one-class classifiers in order to minimize the classification error. The aim is to choose the optimal value of the slack parameter, which controls the selectiveness of a classifier. The one-class classifier based on the coordinated clusters representation of images is trained and then used for the classification...

To quantify the concept of similarity between classes of images three measures and algorithms of calculation are proposed. The first measure is calculated through the frequency of misclassification of subimages sampled randomly from images. The second one is calculated through the cross membership of the mass center of a class in a feature space. T...

We propose an alternative test for the characterization of fogging by organic compound of interior automotive materials and develop a semiautomated experimental prototype of a system for the acquisition and digital processing of images of droplets on glass substrates. We found optimal conditions of illumination of samples of fogging for the acquisi...

The efficiency of texture image classification is certainly influenced by image scale when a feature space or a classification method is not scale invariant. An alternative approach to the scale-invariant techniques is proposed that first estimates an effective image scale and then uses it to adjust texture features to get the best possible texture...

An approach to grey level texture analysis is extended to colour images. Three colour texture classifiers using the CCR feature space are proposed. Textural information is derived from luminance plane by means of coordinated clusters transform along with chrominance features treated separately. The classifiers differ, basically, in the use of RGB a...

A one-class classifier in the coordinated clusters representation (CCR) feature space is proposed in order to form classes with a required homogeneity with respect to given features of texture images. Experiments with gray level texture images of Brodatz catalog and ‘‘Rosa Porriño’’ polished granites demonstrate high discrimination performance of t...

The coupled nonlinear wave equations of a rubber like perfectly elastic string are derived, damping is included. The free vibrations are studied in order to get free of some limitations of single mode models. The two perpendicular polarizations of transverse oscilations in a string are shown to be coupled through the longitudinal oscillations. We o...

In this paper a technique using the coordinated cluster representation (CCR) is examined for recognition of binary computer generated and natural texture images corrupted by additive noise. A normalized local property histogram of the CCR is used as a unique feature vector. The ability of the descriptor to capture spatial statistical features of an...

In this paper a technique using the coordinated cluster representation (CCR) is examined for recognition of binary computer generated and natural texture images corrupted by additive noise. A normalized local property histogram of the CCR is used as a unique feature vector. The ability of the descriptor to capture spatial statistical features of an...

A statistical approach based on the coordinated clusters representation of images is used for classification and recognition of textured images. The ability of the descriptor to capture spatial statistical features of an image is exploited. A binarization needed for image preprocessing is done using, but not restricted to, a fuzzy clustering algori...

In this work we analyze the diffraction of two interfered beams of light by a straight edge opaque screen in the Fresnel approximation. Closed analytical solutions of the considered problem are constructed. A detailed analysis, based on these solutions, has demonstrated interesting and unusual effects that show a considerable interaction between in...

The book, written in Spanish, give an introduction to an oscillatory and wave motion of an elastic string-cable carrying alternating electric current in a magnetic field. Few mathematical models, depending on the physical parameters of the system, were proposed to describe nonlinearly coupled oscillations of the string. Experimental equipment to re...

The multiple beam interferometric schemes: Lummer-Gehrcke (LG) and Fabry-Perot, (FP), are analyzed here on the basis of a theoretical scheme which permits an easier way of comparison of the performances of both type of interferometers. We found that LGI as well as the side-illuminated FPI can provide an appreciable gain in the maximum intensity of...

A new quasi-statistical description of digital binary patterns is presented here. The method is based on mapping the configuration space of a primary image onto the smaller configuration space of an auxiliary system called here a local scanning basis. A theorem is proved which establishes the relationship between the new representation and the corr...

En los últimos años, el desarrollo de las Redes Neuronales Artificiales ha cubierto una amplia gama de áreas del conocimiento. Los primeros modelos de redes han sido alcanzados y superados por sistemas sumamente complejos: Memorias Bidireccionales Asociativas, Sistemas de Cómputo Paralelo, Redes Neuronales con uido Sináptico, etc. Sin embargo, las...

Without Abstract

Squeezed states have been described in optics with the mathematics of quantum mechanics. Yet, electromagnetic fields of a single color obey the Helmholtz equation, of which the Schrödinger equation is but the paraxial (parabolic) approximation. We extend the ordinary squeezed states to solutions of the Helmholtz equation that contain them as their...

An approximation to the photon distribution function, which describes stalistics of the mixed thermal-coherent radiation, is derived. This approximation is efficient for analytic calculations in numerous problems of interaction between quantum electromagnetic fields and matter, specially when the steepest descent method is used.

The existence of revivals in the atomic inversion of the Jaynes-Cummings model (JCM) has been pinpointed on the numerical display of its expectation value. However, until recently its individual identification, isolation, and analytical representation was successful if the initial photon statistics allowed the use of saddle point techniques. ¹ The...

The physical meaning, properties, and applications of correlated coherent states are examined. The evolution of the correlated coherent states of a one-dimensional nonstationary generalized quadratic quantum system is investigated, and an explicit expression is obtained for a unitary equivalence operator in a class of correlated coherent states. Th...

The authors obtain an explicit expression for the unitary equivalence operator of correlated coherent states, and calculate the overlap integrals between the correlated states and the matrix elements of the equivalence operator in correlated bases.

A generalized Heisenberg-type uncertainty relation is obtained for two arbitrary operators both in the case of pure and of mixed states. As a rule equality is found to hold for pure quantum state only. New minimizing states called correlatedned coherent states, are constructed in explicit form, and their properties are studied.

The explicit Green functions for a damped oscillator with an arbitrary time-dependent frequency and a perturbative force are obtained in coordinate and coherent states representation. This illustrates the application of a general method for the construction of Green functions based on the employment of the integrals of the motion of quantum systems...

Contenido: Ecuaciones diferenciales ordinarias; Matrices; Variable compleja; Geometría analítica y diferencial; Espacios vectoriales; Series e integrales de Fourier; Transformadas de Laplace; Ecuaciones diferenciales parciales; Teoría de Sturm-Liouville y Funciones especiales.