Jesus M. Munoz-Pacheco

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Verified

Jesus M. verified their affiliation via an institutional email.

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• Ph.D.
• Professor (Full) at Meritorious Autonomous University of Puebla

The circuit realization of neural models is a well-known and essential approach in neuromorphic computing. However, Hopfield neural networks (HNN) depend on complex activation functions that produce bulky and cumbersome hardware implementations, which may limit HNN-based applications. Therefore, we introduce a four-neuron Hopfield neural network th...

https://dergipark.org.tr/en/pub/chaos/issue/90440

This paper employs the Direct Synthesis approach to present an analytical methodology for designing fractional-order controllers, aiming to balance simplicity and robustness for practical industrial implementation. Although significant progress has been made in developing fractional-order PID controllers, the advancement of Direct Synthesis control...

Pseudorandom number generators (PRNGs) are fundamental components in cryptographic algorithms. The new concept of multi-PRNG introduced in this article consists of a unique generator capable of producing multiple streams of pseudorandom numbers. Multiscroll chaotic systems are known for generating multiple scrolls within a single attractor. With th...

Memristor maps verified the universial usage of memristors in nonlinear maps. Although almost published works investigate chaotic maps constructing with only one memristor, maps including multiple memristors attract interest because of their flexible structures. By combining three memristors, we introduce a triple-memristor model, which is general...

https://dergipark.org.tr/en/pub/chaos/issue/88057

Dear Colleagues, We are pleased to announce a call for submissions to a Special Issue titled "Mathematical Modelling of Nonlinear Dynamic Systems". We invite our colleagues, friends, and other researchers in the field of nonlinear dynamical systems to contribute their latest research findings, reviews, and insightful perspectives. The aim is to br...

Water is a critical resource for human survival worldwide, and its availability and quality in natural reservoirs such as lakes and rivers must be monitored. In that way, wireless dynamic sensor networks can help monitor water quality. These networks have significantly advanced across various sectors, including industrial automation and environment...

https://dergipark.org.tr/en/pub/chaos/issue/86422

This manuscript introduces a piecewise linear decomposition method devoted to a class of fractional-order dynamical systems composed of piecewise linear (PWL) functions. Inspired by the Adomian decomposition method, the proposed technique computes an approximated solution of fractional-order PWL systems using only linear operators and specific cons...

Nanocomposites are materials of special interest for the development of flexible electronic, optical, and mechanical devices in applications such as transparent conductive electrodes and flexible electronic sensors. These materials take advantage of the electrical, chemical, and mechanical properties of a polymeric matrix, especially in force senso...

https://dergipark.org.tr/en/pub/chaos/issue/83761

In this research work, we propose to investigate the effect of fractional-order on the dynamics of a four dimensional (4D) chaotic system by adding a new model of a memristor, which is an essential electronic element with interesting applications. First introduced by Li et al. (Int J Circuit Theory Appl 42(11):1172–1188, 2014, https://doi.org/10.10...

https://dergipark.org.tr/en/pub/chaos/issue/80150

In this study, a novel technique for the quantification of the human chorionic gonadotropin (hCG) hormone using localized surface plasmons and a tapered optical fiber decorated with gold nanoparticles (Au-NPs) is reported. The tapered optical fiber fabrication process involves stretching a single-mode optical fiber using the flame-brushing system....

This paper presents the fractional-order projection of a chaotic system, which delivers a collection of self-excited and hidden chaotic attractors as a function of a single system parameter. Based on an integer-order chaotic system and the proposed transformation, the fractional-order chaotic system obtains when the divergence of integer and fracti...

The noticeable lag in the development of fractional-order controllers through direct synthesis, compared to their PID counterparts, underscores a clear challenge. To counteract this trend and explore novel control structures, a dual approach involving hardware synthesis and parameter optimization is imperative. This study primarily focuses on hardw...

El Internet de las Cosas, también conocido como Internet of Things, IoT por sus siglas en inglés, es una red de comunicación digital que permite la transferencia de datos entre “cosas”, animales y personas, los que algunos autores llaman el “Internet del Todo”. El concepto IoT no solo incluye los dispositivos tradicionalmente conectados a internet,...

https://dergipark.org.tr/en/pub/chaos/issue/77246

https://dergipark.org.tr/en/pub/chaos/issue/75756

https://dergipark.org.tr/en/pub/chaos/issue/73767

In 1971, Chua suggested that there should be a fourth electrical component in addition to resistor, capacitor and inductor. This new component was proposed to be called “memristor”. Due to lack of commercially available memristors many emulators are mainly used in nonlinear circuits. Also, the memristance functions are used in many dynamical system...

https://dergipark.org.tr/en/pub/chaos/issue/73033

The hallmark of fractional-order derivatives is a memory kernel to describe real-world phenomena with a better approximation than classical calculus. In fractional-order chaotic systems, the memory kernel improves their complexity, ergodicity, and hidden dynamical behaviors, which become an excellent option to boost applications in data encryption,...

A dynamical model linking stress, social support, and health has been recently proposed and numerically analyzed from a classical point of view of integer-order calculus. Although interesting observations have been obtained in this way, the present work conducts a fractional-order analysis of that model. Under a periodic forcing of an environmental...

This work presents a numerical analysis of the dynamical behavior of a multi-scroll chaotic system using variable-order calculus. In this scenario, we introduce the concept of variable-order from two approaches denominated herein as short-memory and full-memory, respectively. For the first one, the basic idea is to study the chaotic dynamics when t...

Fractional-order chaotic systems are a hot topic of research due to their applicability in all related fields of science and engineering. For instance, they have been pointed out as a potential solution for security in smart cities and Internet of Things networks through data encryption using random number generators. However, for security applicat...

This issue is dedicated to the memory of Prof. Tenreiro Machado. https://dergipark.org.tr/en/pub/chaos/issue/64884

In this paper, a dual-band graphene coplanar waveguide antenna is designed for smart cities and internet of things applications. A graphene film is chosen as the conductive material for the radiation patches and ground plane with a thickness of 240 μm and an electric conductivity of 3.5 × 10⁵ S/m. The dielectric is glass with a dielectric permittiv...

In this article, the design and experimental characterization of a transparent MIMO fractal antenna compatible with 5G communications are presented. An Indium Tin Oxide (ITO) film with a thickness of 150 nm deposited over a glass substrate was used to fabricate the proposed antenna. This antenna is conformed by a pair of CPW-fed octagonal patch. Bo...

Chaos Theory and Applications (March 2022 - Volume 4 - Issue 1) https://dergipark.org.tr/en/pub/chaos/issue/63571 ----------- 1) Jun MA. "Chaos Theory and Applications：The Physical Evidence, Mechanism are Important in Chaotic Systems. " 2) Burak ARICIOĞLU, Sezgin KAÇAR. "Circuit Implementation and PRNG Applications of Time Delayed Lorenz System....

EI‐SCAM is a very useful tool capable of carrying out symbolic, semi‐symbolic, and numerical solutions for the electrical variables of a circuit under analysis. The goal of the research reported herein is to assess the effectiveness of the program as a teaching tool for circuit analysis of Automotive System Engineering students. To this aim, EI‐SCA...

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...

In the human glucose-insulin regulatory system, diverse metabolic issues can arise, including diabetes type I and type II, hyperinsulinemia, hypoglycemia, etc. Therefore, the analysis and characterization of such a biological system is a must. It is well known that mathematical models are an excellent option to study and predict natural phenomena t...

Resumen: En este trabajo se presenta la síntesis de un integrador de orden fraccionario, usando el método de filtro Butterworth. A partir de una función de transferencia de primer orden que aproxima al integrador fraccionario desde la definición de Riemann-Liouville obtenemos filtros de primer orden. Para corroborar el método propuesto, analizamos...

When the bursting electrical activity (BEA) of the \(\beta \)-cells inside Langerhans’ islet behave synchronously, the insulin secretes into the bloodstream to regulate the body’s glucose levels. Recent advances in pancreas imaging techniques showed that the communication path among \(\beta \)-cells exhibits a small-world-like organization. Hence,...

Chaos Theory and Applications (November 2021 - Volume 3 - Issue 2) https://dergipark.org.tr/en/pub/chaos/issue/58077

In this paper, the stabilization and synchronization of a complex hidden chaotic attractor is shown. This article begins with the dynamic analysis of a complex Lorenz chaotic system considering the vector field properties of the analyzed system in the Cn domain. Then, considering first the original domain of attraction of the complex Lorenz chaotic...

Chaos Theory and Applications (June 2021 - Volume 3 - Issue 1) https://dergipark.org.tr/tr/pub/chaos/issue/56378

Because one of the main applications of chaos synchronization is oriented to data encryption and random number generators, fractional-order chaotic systems showing multi-scroll attractors have pointed out as feasible solutions to improve the performance of secure communications schemes. Nowadays, recent works have reported the analysis and control...

Nowadays, chaotic systems are attracting considerable attention due to their special features. The aim of this paper is to study a four-dimensional system that lacks any equilibria. Also, this non-equilibrium system has hidden attractors. Dynamical behaviors of the system have been investigated using well-known numerical simulations and analyses su...

COVID-19 is a novel coronavirus affecting all the world since December last year. Up to date, the spread of the outbreak continues to complicate our lives, and therefore, several research effort s from many scientific areas are proposed. Among them, mathematical models are an excellent way to understand and predict the epidemic outbreaks evolution...

This paper presents the design, simulation, and experimental verification of the fractional-order multiscroll Lü chaotic system. We base them on op-amp-based approximations of fractional-order integrators and saturated series of nonlinear functions. The integrators are first-order active realizations tuned to reduce the inaccuracy of the frequency...

This chapter is about the synchronization of fractional-order memristive neural networks. At first, some basic concepts of fractional calculus are presented, and the model of fractional-order memristive neural networks is described. Then a robust adaptive controller is designed for the synchronization of these systems. The proposed robust adaptive...

This chapter presents the design guidelines for obtaining fractional-order integrators, which are highly required for the physical implementation of fractional-order dynamical systems or PID controllers. More specifically, we propose a metric performance defined as the rate of the desired error regarding the order of the integer-order rational appr...

According to the pioneering work of Leonov and Kuznetsov [...]

A simple and efficient method for creating a motion trajectory is presented with an aim to achieve sufficient coverage of a given terrain. A chaotic map has been used in order that the motion trajectory should be unpredictable. The chaotic path generator which has been created, is used for implementing a robot's movement in four and eight direction...

The present study proposes a new fractional-order hyperchaotic memristor oscillator. The proposed system is studied through numerical simulations and analyses, such as the Lyapunov exponents, bifurcation diagrams, and phase portraits. Then, using the sliding mode concept, a robust adaptive control scheme is designed to synchronize the proposed syst...

In this paper, a fully transparent multiband antenna for vehicle communications is designed, fabricated, and analyzed. The antenna is coplanar waveguide-fed to facilitate its manufacture and increase its transmittance. An indium-tin-oxide film, a type of transparent conducting oxide, is selected as the conductive material for the radiation path and...

For studying biological conditions with higher precision, the memory characteristics defined by the fractional-order versions of living dynamical systems have been pointed out as a meaningful approach. Therefore, we analyze the dynamics of a glucose-insulin regulatory system by applying a non-local fractional operator in order to represent the memo...

This work proposes a modified logistic map based on the system previously proposed by Han in 2019. The constructed map exhibits interesting chaos related phenomena like antimonotonicity, crisis, and coexisting attractors. In addition, the Lyapunov exponent of the map can achieve higher values, so the behavior of the proposed map is overall more com...

A modification of the classic logistic map is proposed, using fuzzy triangular numbers. The resulting map is analysed through its Lyapunov exponent (LE) and bifurcation diagrams. It shows higher complexity compared to the classic logistic map and showcases phenomena, like antimonotonicity and crisis. The map is then applied to the problem of pseudo...

This manuscript introduces two new chaotic oscillators based on autonomous Boolean networks (ABN), preserving asymmetrical logic functions. That means that the ABNs require a combination of XOR-XNOR logic functions. We demonstrate analytically that the two ABNs do not have fixed points, and therefore, can evolve to Boolean chaos. Using the Lyapunov...

In this paper, dynamical behavior and synchronization of a non-equilibrium four-dimensional chaotic system are studied. The system only includes one constant term and has hidden attractors. Some dynamical features of the governing system, such as invariance and symmetry, the existence of attractors and dissipativity, chaotic flow with a plane of eq...

A design strategy for the synthesis of high-selectivity/low-order analog filters in Complementary Metal-Oxide-Semiconductor (CMOS) technology for very high frequency (VHF) applications is presented. The methodology for the reconstitution of a given transfer function by means of Signal Flow Graphs (SFG) manipulation in canonical form is proposed lea...

Four-dimensional chaotic systems are currently a very interesting topic for researchers, given their special features. This paper presents a novel fractional-order four-dimensional chaotic system with self-excited and hidden attractors, which includes only one constant term. The proposed system presents the phenomenon of multi-stability, which mean...

In this work, a gravity compensation controller for a 2-DOF spherical parallel wrist with a camera mounted on the end eector is derived in order to reduce the joints positioning error given by a PD controller during camera orientation. Here, the camera body is considered as a 2D pendulum with origin at the sphere center and referenced to the end ee...

Memristor and fractional-order derivatives are feasible options for constructing new systems with complex dynamics. This paper presents a new fractional-order chaotic system based on a fractional-order memristor (fracmemristor). It is worth noting that this chaotic system based on a fracmemristor does not have any equilibrium points but generates i...

Ad Hoc networks are considered essential elements of the Internet of Things (IoT), which is a technological trend for innovative future applications. Since in IoT systems the devices are mostly connected among them, the data exchange is a vital activity in the network. In this kind of networks, not only non-sensitive data exchange is performed, but...

Fractional-order chaotic oscillators are a hot topic of research and nowadays many new mathematical models have been introduced, which can be suitable for the development of novel applications in all related fields of science and engineering. However, the challenge is their implementation that can be performed using electronic devices. In this mann...

In the last few years, entropy has been a fundamental and essential concept in information theory [...]

This work presents the modeling details of a power upconverter enabled to process base band signals from a ΣΔ modulator. The modulated sequence is encoded for Ultra Wide Band (UWB) transmission using the RF blockset in Mat-lab/Simulink. The system complies with the indoor emission mask for UWB and presents a simple design consisting only of a ΣΔ mo...

Edward Lorenz was an early pioneer of the chaos theory. He discovered that small changes in initial conditions produce large changes in long-term outcome, and introduced a chaotic attractor already known as Lorenz chaotic oscillator, which produces a butterfly-like behavior. This and all kinds of continuous-time chaotic oscillators can be simulated...

This chapter proposes an analytical framework to understand the trade-offs of a firm dedicated to educational services for creating and sustaining a superior performance respect to its competitors. The proposed approach focuses on polytechnic universities as the firm understudy. Based on a statistical data from Mexican government, the five forces o...

A fractional-order finance system with negative values for system’s parameters is introduced. Based on an integer-order finance system with two nonlinearities, we discovered chaos in new regions for system’s parameters. By selecting negative values for system’s parameters, the eigenvalues of the proposed system can be modified to decrease the fract...

β-cells in the pancreas can be described by a model of coupled biological oscillators with communication links, which can synchronize their electrical activities, giving rise to a square-wave bursting-like insulin release. In fact, β-cells play a vital role in analyzing and characterizing diabetes conditions. This research work studies the synchron...

A novel fractional order dynamical system with a variable double-scroll attractor on a line, lattice and 3D grid is introduced. This system belongs to a class of chaotic systems with adjustable variables but with fractional order. Chaos generation only depends on the value of fractional order. As a result, a chaotic attractor is discovered and prop...

In this work, a new fractional-order chaotic system with a single parameter and four nonlinearities is introduced. One striking feature is that by varying the system parameter, the fractional-order system generates several complex dynamics: self-excited attractors, hidden attractors, and the coexistence of hidden attractors. In the family of self-e...

This special issue in IJNDC will focus on the modelling and applications of electronic chaotic circuits, synchronisation of chaotic circuits, implementation of chaotic circuits and also circuit design of complex dynamical systems. Original research papers in Inderscience format relevant to special issue topics are welcome from all researchers....

In this paper the design and experimental characterization of a coplanar waveguide-feed planar inverted F antenna for wearable personal communications are presented. The proposed antenna is designed to operate at GSM 1800 MHz and ISM 2450 MHz bands. Experimental measurements of the reflection coefficient are achieved by considering two scenarios: t...

Neural network is important for a wide range of applications. Especially, a small neural network can display various complex behaviors. In this work, the investigations of a Hopfield neural network and its field programmable gate array (FPGA) implementation have been reported. The considered Hopfield neural network is simple because it includes onl...

Chaos theory deals with the modelling, identification and control of nonlinear dynamical systems exhibiting chaotic behaviour which can be typically characterised by sensitivity to small variations in initial conditions (butterfly effect). Furthermore, chaotic systems can be classified as dissipative or conservative systems based on the asymptotic...