Gilardi Velázquez, Héctor Eduardo
Thumbnail Image
Preferred name
Gilardi Velázquez, Héctor Eduardo
Official Name
Gilardi Velázquez, Héctor Eduardo
Alternative Name
hgilardi
Main Affiliation
ORCID
Scopus Author ID
57195627627
Researcher ID
AAT-3915-2020

Research Output
Now showing 1 - 10 of 18
No Thumbnail Available
Publication

Optical Energy Increasing in a Synchronized Motif-Ring Array of Autonomous Erbium-Doped Fiber Lasers

2024 , José Octavio Esqueda de la Torre , Juan Hugo García-López , Rider Jaimes-Reátegui , José Luis Echenausía-Monroy , Eric Emiliano López-Muñoz , Gilardi Velázquez, Héctor Eduardo , Guillermo Huerta-Cuellar

This work investigates the enhancement of optical energy in the synchronized dynamics of three erbium-doped fiber lasers (EDFLs) that are diffusively coupled in a unidirectional ring configuration without the need for external pump modulation. Before the system shows stable high-energy pulses, different dynamic behaviors can be observed in the dynamics of the coupled lasers. The evolution of the studied system was analyzed using different techniques for different values of coupling strength. The system shows the well-known dynamic behavior towards chaos at weak coupling, starting with a fixed point at low coupling and passing through Hopf and torus bifurcations as the coupling strength increases. An interesting finding emerged at high coupling strengths, where phase locking occurs between the frequencies of the three lasers of the system. This phase-locking leads to a significant increase in the peak energy of the EDFL pulses, effectively converting the emission into short, high amplitude pulses. With this method, it is possible to significantly increase the peak energy of the laser compared to a continuous EDFL single pulse.

View
Thumbnail Image
Publication

Observaciones ontólogicas al caos determinista como forma del universo

2001 , Gilardi Velázquez, Héctor Eduardo

Este artículo trata de explicar cómo algunos presupuesto de la Teoría del Caos Determinista convertirían la presencia del azar en los procesos naturales en una causa formal del universo. También se compara esta posición con una visión compatible de teleología metafísica.

View
No Thumbnail Available
Publication

Implementation of the cFS framework for the development of software in aerospace missions: first application in an undergraduate program in Mexico

2021 , M. De la Vega-Martínez , M.C. Velázquez-García , M.F. Zavala-López , Hernandez, Erika , R.A. Gutiérrez-Esparza , D.G. Arcos-Bravo , D. Medina , Gilardi Velázquez, Héctor Eduardo , D. McComas

View
No Thumbnail Available
Publication

Speckle noise reduction, in amplitude holograms, using a limited-bandwidth random phase generated by a chaotic map

2024-01-01 , Cruz, Maria-Luisa , Gilardi Velázquez, Héctor Eduardo

View
No Thumbnail Available
Publication

A physical interpretation of fractional-order-derivatives in a jerk system: Electronic approach

2020 , J.L. Echenausía-Monroy , Gilardi Velázquez, Héctor Eduardo , R. Jaimes-Reátegui , V. Aboites , G. Huerta-Cuellar

View
No Thumbnail Available
Publication

Intermittency induced in a bistable multiscroll attractor by means of stochastic modulation

2019-01-01 , Echenausía-Monroy, José L. , Huerta-Cuellar, Guillermo , Jaimes-Reátegui, Rider , García-López, Juan H. , Gilardi Velázquez, Héctor Eduardo

View
No Thumbnail Available
Publication

Bidimensional Deterministic Model for Diffusion and Settling of Particles

2023 , Stephanie Esmeralda Velázquez Pérez , Eric Campos-Cantón , Guillermo Huerta Cuellar , Héctor Eduardo Gilardi Velázquez

In this paper, we present a study of the diffusion properties of a deterministic model for settling particles in two displacement dimensions. The particularities of the novel deterministic model include the generation of Brownian motion and a two-dimensional displacement model without stochastic processes, which are governed by a set of six differential equations. This model is a piecewise system consisting of subsystems governed by jerk equations. With this model, we can consider different conditions of diffusion in both the dimensions and size of the space where the particles are dispersed. The settling time versus the dispersion medium and its size, as well as the average settling time and its probability distributions, are analyzed. Furthermore, the probability distributions for the settling location are presented for the changes in the diffusion parameters and space size. Finally, the basins of attraction for the settling positions are shown as a function of each dimensional diffusion parameter and for the medium size.

View
No Thumbnail Available
Publication

Predicting Tipping Points in a Family of PWL Systems: Detecting Multistability via Linear Operators Properties

2024 , J. L. Echenausía-monroy , Rıcardo Cuesta-garcía , Gilardi Velázquez, Héctor Eduardo , Sishu Shankar Muni , Joaquin Alvarez-gallegos

The study of dynamical systems is based on the solution of differential equations that may exhibit various behaviors, such as fixed points, limit cycles, periodic, quasi-periodic attractors, chaotic behavior, and coexistence of attractors, to name a few. In this paper, we present a simple and novel method for predicting the occurrence of tipping points in a family of Piece-Wise Linear systems (PWL) that exhibit a transition from monostability to multistability with the variation of a single parameter, without the need to compute time series, i.e., without solving the differential equations of the system. The linearized system of the model is analyzed, the stable and unstable manifolds are taken to be real vectors in space, and the changes suffered by these vectors as a result of the modification of the parameter are examined using such simple metrics as the magnitude of a vector or the angle between two vectors in space. The results obtained with the linear analysis of the system agree well with those obtained with the numerical resolution of the dynamical system itself. The work presented here is an extension of previous results on this topic and contributes to the understanding of the mechanisms by which a system changes its stability by fragmenting its basin of attraction. This, in turn, enriches the field by providing an alternative to numerical resolution to identify quantitative changes in the dynamics of complex systems without having to solve the differential equation system.

View
No Thumbnail Available
Publication

Multistability route in a PWL multi-scroll system through fractional-order derivatives

2022 , J.L. Echenausía-Monroy , Gilardi Velázquez, Héctor Eduardo , Ning Wang , R. Jaimes-Reátegui , J.H. García-López , G. Huerta-Cuellar

View
No Thumbnail Available
Publication

Simple design of a PFC Device based on Switched Capacitors using Analog and Digital Circuits

2020 , Ruiz-Martinez, O.F. , Gilardi Velázquez, Héctor Eduardo

View