
Esteban Tlelo-CuautleNational Institute of Astrophysics, Optics and Electronics | INAOE · Electronics Coordination
Esteban Tlelo-Cuautle
PhD
About
443
Publications
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Introduction
My research interests include systematic circuit synthesis techniques, modeling and simulation of linear and nonlinear circuits and systems, design and applications of chaotic oscillators, symbolic circuit analysis, multi-objective optimization, evolutionary algorithms, and analog/RF and mixed-signal design automation tools.
Publications
Publications (443)
https://dergipark.org.tr/en/pub/chaos/issue/88057
The fifth edition of the Meeting for the Dissemination and Research in the Study of Complex Systems and their Applications (EDIESCA 2024, for its meaning in Spanish), will be held in a hybrid modality (virtual, and face-to-face), during October 28-30, having as headquarters the facilities of the Universidad Panamericana Campus Aguascalientes. EDIES...
La Asociación Mexicana de Sistemas Dinámicos y Complejidad (AMESDYC) es una asociación civil sin fines de lucro, cuyo objetivo es difundir resultados científicos y tecnológicos por medio de diferentes eventos académicos. CONVOCA A las instituciones de educación superior públicas y privadas que deseen ser sede del Sexto Encuentro para la Divulgación...
This paper addresses critical gaps in the digital implementations of fractional-order memelement emulators, particularly given the challenges associated with the development of solid-state devices using nanomaterials. Despite the potentials of these devices for industrial applications, the digital implementation of fractional-order models has recei...
DC–DC buck converters have been designed by incorporating different control stages to drive the switches. Among the most commonly used controllers, the sliding mode control (SMC) and proportional-integral-derivative (PID) controller have shown advantages in accomplishing fast slew rate, reducing settling time and mitigating overshoot. The proposed...
https://dergipark.org.tr/en/pub/chaos/issue/86422
https://dergipark.org.tr/en/pub/chaos/issue/83761
This manuscript shows the CMOS design of Lorenz systems using operational transconductance amplifiers (OTAs). Two Lorenz systems are then synchronized in a master–slave topology and used to implement a CMOS secure communication system. The contribution is devoted to the correct design of first- and second-order OTA-C filters, using 180 nm CMOS tech...
This book highlights applications that include machine learning methods to enhance new developments in complex and unmanned systems.
The contents are organized from the applications requiring few methods to the ones combining different methods and discussing their development and hardware/software implementation.
The book includes two parts: th...
In this paper, a new 3D memristor-based chaotic system based on the Sprot B model is designed. The proposed system analyzes the coexistence of symmetric attractors confirmed with basins of attraction to highlight the presence of multiple attractors, which influence initial conditions. The initial condition offset boosting performs a wide range of s...
In the context of different applications demanding fast, secure, and accurate chaotic systems synchronization, this article is concerned with improving the security and timeliness of chaotic synchronization schemes in chaotic secure information transmission. Firstly, we introduce five control laws designed to achieve predefined-time chaotic synchro...
A hyperjerk system pertains to a dynamical system regulated by an ordinary differential equation of nth order, where
n
≥ 4. The main contribution of this work is the finding of a new autonomous hyperjerk system with a half line equilibrium. The mathematical framework of the proposed hyperjerk system contains eight terms with an absolute function...
https://dergipark.org.tr/en/pub/chaos/issue/80150
In control theory, there are many proposals to solve the problem of observer design. This paper studies the Mittag-Leffler stability of a class of dynamic observers for nonlinear fractional-order systems, given in the observable canonical form and defined by the Caputo fractional derivative. We prove that the Riemann-Liouville integral could be emp...
This article presents a technique to integrate two dynamical models, a four-wing spherical chaotic oscillator and the elliptical path described by the planet Earth during its translation movement around the sun. Four application cases are derived from the system by varying the dynamics of the chaotic oscillator and these can be applied in informati...
https://dergipark.org.tr/en/pub/chaos/issue/77246
Fractional-order chaotic systems have many applications in science and engineering. This work describes a new fractional-order 3-D jerk chaotic system with no equilibrium point. The proposed fractional order chaotic system exhibits a hidden attractor since it does not have any equilibrium point. We carry out a detailed bifurcation analysis for the...
Mechanical jerk systems have applications in several areas, such as oscillators, microcontrollers, circuits, memristors, encryption, etc. This research manuscript reports a new 3-D chaotic jerk system with two unstable balance points. It is shown that the proposed mechanical jerk system exhibits multistability with coexisting chaotic attractors for...
This paper introduces a new chaotic jerk system with three cubic nonlinear terms. The stability properties of the three equilibrium points of the proposed jerk system are analyzed in detail. We show that the three equilibrium points of the new chaotic jerk system are unstable and deduce that the jerk system exhibits self-excited chaotic attractors....
Extreme multistable systems can show vibrant dynamical properties and infinitely many coexisting attractors generated by changing the initial conditions while the system and its parameters remain unchanged. On the other hand, the frequency of extreme events in society is increasing which could have a catastrophic influence on human life worldwide....
This research work reports the finding of a new 4-D hyperchaotic two-scroll system having three second-order nonlinear terms. It is detailed that the system does not have any rest point for non-zero values of the system parameters. Thus, we deduce that the new hyperchaotic system has a hidden attractor. The main findings of the new hyperchaotic sys...
This research paper addresses the modelling of a new 3-D chaotic jerk system with a stable equilibrium. Such chaotic systems are known to exhibit hidden attractors. After the modelling of the new jerk system, a detailed bifurcation analysis has been performed for the new chaotic jerk system with a stable equilibrium. It is shown that the new jerk s...
The main objective of this work was to implement the parameter-switching chaos control scheme for fractional-order spherical systems and develop a chaos-based image encryption and transmission system. The novelty in the developed secure communication system is the application of the parameter-switching scheme in the decryption of RGB and grayscale...
On behalf of the Organizing Committee of the 4th Meeting for the Dissemination and Research in the Study of Complex Systems and their Applications (EDIESCA 2023, for its meaning in Spanish), I would like to cordially invite you and your students to participate as guests speakers and take part in the event, that will be held in a hybrid modality (vi...
https://dergipark.org.tr/en/pub/chaos/issue/75756
Chaotic systems are hard to synchronize, and no general solution exists. The presence of hidden attractors makes finding a solution particularly elusive. Successful synchronization critically depends on the control strategy, which must be carefully chosen considering system features such as the presence of hidden attractors. We studied the feasibil...
This work shows the voltage regulation of a DC–DC buck converter by applying sliding mode control using three different cases of sliding surfaces. The DC–DC buck converter is modeled by ordinary differential equations (ODEs) that are solved by applying numerical methods. The ODEs describe two state variables that are associated to the capacitor vol...
The Presnov decomposition for continuously differential vector fields consists of a gradient of a scalar field (dissipative term) and a vector field orthogonal to a radial vector of the origin (circulative or non-dissipative term). This paper uses the Presnov decomposition associated with a fractional-order Lorenz family to design algorithms that s...
The employment of chaotic maps in a variety of applications such as cryptosecurity, image encryption schemes, communication schemes, and secure communication has been made possible thanks to their properties of high levels of complexity, ergodicity, and high sensitivity to the initial conditions, mainly. Of considerable interest is the implementati...
Nowadays, a huge amount of research is done on introducing and implementing new fractional-order chaotic systems. In the majority of cases, the implementation is done using embedded hardware, and very seldom does it use integrated circuit (IC) technology. This is due to the lack of design automation tools ranging from the system level down to layou...
https://dergipark.org.tr/en/pub/chaos/issue/73767
A chaotic map with two sine functions is studied here, and its chaotic dynamics are investigated. Bifurcation diagrams and Lyapunov exponents of the map by different initiation methods show the multistability in some intervals of the bifurcation parameter. Then an encryption method based on sparse representation and the chaotic map is proposed. In...
https://dergipark.org.tr/en/pub/chaos/issue/73033
Interest in chaotic time series prediction has grown in recent years due to its multiple applications in fields such as climate and health. In this work, we summarize the contribution of multiple works that use different machine learning (ML) methods to predict chaotic time series. It is highlighted that the challenge is predicting the larger horiz...
Reservoir computing has shown promising results in predicting chaotic time series. However, the main challenges of time-series predictions are associated with reducing computational costs and increasing the prediction horizon. In this sense, we propose the optimization of Echo State Networks (ESN), where the main goal is to increase the prediction...
With the swift advancement of chaos theory, the modeling, chaotic oscillations, and engineering applications of chaotic and hyperchaotic systems are important topics in research. In this research paper, we elucidate our findings of a new four-dimensional two-scroll hyperchaotic system having only two quadratic nonlinearities and carry out a detaile...
In this work, we describe the model of a new 5-D hyperchaotic system with three positive Lyapunov exponents. Since the maximum positive Lyapunov exponent of the proposed hyperchaotic system is larger than twelve, the new hyperchaotic system is highly hyperchaotic. We also show that the new 5-D hyperchaotic system exhibits multistability with coexis...
The main goal of this work is to optimize the chaotic behavior of a three-dimensional chaotic-spherical-attractor-generating fractional-order system and compare the results with its novel hyperchaotic counterpart. The fractional-order chaotic system is a smooth system perturbed with a hyperbolic tangent function. There are two major contributions i...
Fractional nonlinear systems have been considered in many fields due to their ability to bring memory-dependent properties into various systems. Therefore, using fractional derivatives to model real-world phenomena, such as neuronal dynamics, is of significant importance. This paper presents the fractional memristive Wilson neuron model and studies...
This issue is dedicated to the memory of Prof. Tenreiro Machado.
https://dergipark.org.tr/en/pub/chaos/issue/64884
Prediction techniques have the challenge of guaranteeing large horizons for chaotic time series. For instance, this paper shows that the majority of techniques can predict one step ahead with relatively low root-mean-square error (RMSE). However, some techniques based on neural networks can predict more steps with similar RMSE values. In this manne...
This work presents an introductory observer theory for nonlinear dynamic systems modeled by the general conformable fractional derivative. General conformable exponential observers are defined, and Lyapunov-like stability methods are developed to design estimation algorithms. Two algorithms are presented to estimate unknown variables on conformable...
In brain–computer interfaces (BCIs), it is crucial to process brain signals to improve the accuracy of the classification of motor movements. Machine learning (ML) algorithms such as artificial neural networks (ANNs), linear discriminant analysis (LDA), decision tree (D.T.), K-nearest neighbor (KNN), naive Bayes (N.B.), and support vector machine (...
This volume is intended for use by students, engineers and researchers interested
in complex systems and their applications. The reader is assumed to have a basic
knowledge of complex systems and dynamical nonlinear systems. EDIESCA is
the Spanish acronym of Dissemination and Research in the Study of Complex
Systems and their Applications. The firs...
This work proposes a new 4-D hyperchaotic system with three quadratic nonlinear terms. We establish that the proposed system has no balance point. We deduce that the system has hidden attractors. We carry out a dynamic analysis of the new system with bifurcation diagrams and Lyapunov exponents. We show that the new system has multi-stability and co...
Guaranteeing security in information exchange is a challenge in public networks, such as in the highly popular application layer Message Queue Telemetry Transport (MQTT) protocol. On the one hand, chaos generators have shown their usefulness in masking data that can be recovered while having the appropriate binary string. Privacy can then be accomp...
Real applications of integrated circuits (ICs) require satisfying strong target specifications, which challenge is focused on trading off specifications that are in conflict, i.e. improving one characteristic can degrade other(s). This is the case of designing a ring voltage-controlled oscillator (VCO) using IC nanometer technology, with the goal t...
One of the most important topics in science and engineering technology is the use of chaos. Fast growths in research on engineering applications and chaotic systems with integer and fractional orders have been reported in recent years. A diversity of innovative chaotic systems for usefulness in engineering applications have been proposed.
We welcom...
The improvement of underwater imaging has advanced significantly due to its contribution to marine engineering and underwater exploration. This fact has been reflected in recent years with the proposal of numerous algorithms that improve the quality of underwater images. A benchmarking of three algorithms based on the Retinex models implemented on...
In this chapter, a chaotic oscillator is presented. Various dynamical behaviors of the oscillator are analyzed. The complex dynamics of the proposed oscillator are applied in a compression-encryption algorithm. Here, we propose an image compression-encryption method using compressed sensing and a chaotic oscillator. At first, the original image is...
Synchronization of chaotic signals often considers a master-slave paradigm where a slave chaotic system is required to follow the master also chaotic. Most times in literature both systems are known, but synchronization to some unknown master has a potentially large range of applications, for example, EEG based authentication. We aim to test the fe...
Deep venous thrombosis (DVT) is a disease that must be diagnosed quickly, as it can trigger the death of patients. Nowadays, one can find different ways to determine it, including clinical scoring, D-dimer, ultrasonography, etc. Recently, scientists have focused efforts on using machine learning (ML) and neural networks for disease diagnosis, progr...
Autism Spectrum Disorder (ASD) is a neurodevelopmental life condition characterized by problems with social interaction, low verbal and non-verbal communication skills, and repetitive and restricted behavior. People with ASD usually have variable attention levels because they have hypersensitivity and large amounts of environmental information are...
Autism Spectrum Disorder (ASD) is a neurodevelopmental life condition characterized by problems with social interaction, low verbal and non-verbal communication skills, and repetitive and restricted behavior. People with ASD usually have variable attention levels because they have hypersensitivity and large amounts of environmental information are...
Autism Spectrum Disorder (ASD) is a neurodevelopmental life condition characterized by
problems with social interaction, low verbal and non-verbal communication skills, and repetitive and restricted behavior. People with ASD usually have variable attention levels because they have hypersensitivity and large amounts of environmental information are...
Dear Colleagues, Nonlinear dynamics is a useful tool in the mathematical modelling of various systems, such as electronic devices, economies, and physical processes, to mention a few. Nonlinear dynamics has had a great impact on areas of scientific research ranging from chemistry to physics and biology. Many nonlinear dynamics studies directed to t...
Artificial neural networks have demonstrated to be very useful in solving problems in artificial intelligence. However, in most cases, ANNs are considered integer-order models, limiting the possible applications in recent engineering problems. In addition, when dealing with fractional-order neural networks, almost any work shows cases when varying...
Nowadays, many cities have problems with traffic congestion at certain peak hours, which produces more pollution, noise and stress for citizens. Neural networks (NN) and machine-learning (ML) approaches are increasingly used to solve real-world problems, overcoming analytical and statistical methods, due to their ability to deal with dynamic behavi...
The optimization of fractional-order (FO) chaotic systems is challenging when simulating a considerable number of cases for long times, where the primary problem is verifying if the given parameter values will generate chaotic behavior. In this manner, we introduce a methodology for detecting chaotic behavior in FO systems through the analysis of P...
The simulation of fractional-order chaotic oscillators can be performed in the frequency and time domains. In the former case, one can approximate the fractional-order derivatives by Laplace transfer functions that can be decomposed into active filter structures. In the second case, in the majority of cases time simulation is performed by the Grunw...
This chapter develops a secure communication scheme based on the synchronization of two hyperchaotic systems, including key statistical, dynamical, and security analyses. First, the scheme is based on the projective synchronization between two hyperchaotic systems applied to image encryption. The encryption process comprises the generation and disc...
In CMOS integrated circuit (IC) design, operational amplifiers are one of the most useful active devices to enhance applications in analog signal processing, signal conditioning and so on. However, due to the CMOS technology downscaling, along the very large number of design variables and their trade-offs, it results difficult to reach target speci...
Four chaotic maps are used herein as case study to design an embedded cryptosystem based on a pseudo-random number generator (PRNG). The randomness of the sequences is enhanced by applying the mod 1023 function and verified by analyzing bifurcation diagrams, the maximum Lyapunov exponent, and performing NIST SP 800-22 and TestU01 statistical tests....
Chaotic systems based on artificial neurons present high randomness levels that are desired for applications like data encryption. In this paper, the chaotic systems based on the Hopfield, Cellular, Aihara, and the Rulkov neural models are synchronized and implemented on Raspberry Pi, which allows connectivity to a Machine to Machine (M2M) broker t...