Gilardi Velázquez, Héctor Eduardo
Main Affiliation
Preferred name
Gilardi Velázquez, Héctor Eduardo
Official Name
Gilardi Velázquez, Héctor Eduardo
ORCID
0000-0002-4978-4526
Researcher ID
AAT-3915-2020
Scopus Author ID
57195627627
30 results
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Item type:Publication, The Shape of Chaos: A Geometric Perspective on Characterizing Chaos(MDPI AG, 2025-12-20) ;Echenausía-Monroy, José Luis ;Ontañón-García, Luis Javier ;Magallón-García, Daniel Alejandro ;Huerta-Cuellar, Guillermo - Some of the metrics are blocked by yourconsent settings
Item type:Publication, A comparison study of diffusion properties in Brownian motion models: From the stochastic to discrete and continuous chaotic-based models(AIP Publishing, 2025-04-01) ;P. K. De Nova Ríos ;S. E. Velázquez-Pérez ;E. Campos-Cantón<jats:p>The Brownian motion has been studied from different perspectives. Einstein proposed the first mathematical description of the Brownian motion of a free particle in one dimension; later, Langevin proposed another model using stochastic differential equations based on Newton's second law, and recently, deterministic models based on Langevin equations have been proposed, where the fluctuating acceleration is replaced, by the jerk equation and by a discrete system “booster” capable of generating chaos. In this work, we compare the statistical properties of the Brownian motion generated by a chaotic map, the Jerk equation, and the classical Langevin Model under parameter variations. We analyze their properties, such as the mean square displacement, the probability distribution for average displacement, and the type of diffusion generated by these models through the detrended fluctuation analysis and the diffusion coefficient calculation. Our results reveal that deterministic models can serve as viable alternatives to classical stochastic models, offering comparable statistical properties for particle diffusion.</jats:p> - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Codification of Images Based on Deterministic Brownian Motion(2024); ;J. L. Echenausia-Monroy ;R. J. Escalante-GonzálezEric Campos2 - Some of the metrics are blocked by yourconsent settings
Item type: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.Scopus© Citations 1 8 1 - Some of the metrics are blocked by yourconsent settings
Item type: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; R.A. Gutiérrez-EsparzaScopus© Citations 2 23 1 - Some of the metrics are blocked by yourconsent settings
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Item type:Publication, 23 1 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Multistability route in a PWL multi-scroll system through fractional-order derivatives(2022) ;J.L. Echenausía-Monroy; ;Ning Wang ;R. Jaimes-ReáteguiJ.H. García-LópezScopus© Citations 13 4 1 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Emergent Behaviors in Coupled Multi-scroll Oscillators in Network with Subnetworks(2024) ;Adrıana Ruiz-silva ;Bahia Betzavet Cassal-quiroga ;Eber J. ávila-martínez<jats:p xml:lang="en">This paper presents the emergence of two collective behaviors in interconnected networks. Specifically, the nodes in these networks belong to a particular class of piece-wise linear systems. The global topology of the network is designed in the form of connected subnetworks, which do not necessarily share the same structure and coupling strength. In particular, it is considered that there are two levels of connection, the internal level is related to the connection between the nodes of each subnetwork; while the external level is related to connections between subnetworks. In this configuration, the internal level is considered to provide lower bounds on the coupling strength to ensure internal synchronization of subnetworks. The external level has a relevant value in the type of collective behavior that can be achieved, for which, we determine conditions in the coupling scheme, to achieve partial or complete cluster synchronization, preserving the internal synchronization of each cluster. The analysis of the emergence of stable collective behavior is presented by using Lyapunov functions of the different coupling. The theoretical results are validated by numerical simulations.</jats:p>Scopus© Citations 1 9 1
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