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
31 results
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Item type:Publication, On the Effect of Asymmetric Coupling in Pairs of Chaotic Oscillators for Different Input–Output Combinations(WORLD SCIENTIFIC, 2025-12-11) - 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) - Some of the metrics are blocked by yourconsent settings
Item type:Publication, A Transformer-Based Multi-Task Learning Model for Vehicle Traffic Surveillance(MDPI AG, 2025-11-29); - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Analysis and Simulation of Dynamic Heat Transfer and Thermal Distribution in Burns with Multilayer Models Using Finite Volumes(MDPI AG, 2025-10-01); Stephanie Esmeralda Velázquez-Pérez<jats:p>Burns represent a significant medical challenge, and the development of theoretical models has the potential to contribute to the advancement of new diagnostic tools. This study aimed to perform numerical simulations of the Pennes bioheat transfer equation, incorporating heat generation terms due to the body’s immunological response to thermal injury, as well as changes in skin thermal parameters and blood perfusion for each burn type. We propose the incorporation of specific parameters and boundary conditions related to multilayer perfusion into the Pennes bioheat model. Using the proposed layered skin model, we evaluate temperature differences to establish correlations for determining burn depth. In this investigation, 1D and 3D algorithms based on the finite volume method were applied to capture transient and spatial thermal variations, with the resulting temperature distributions demonstrating the ability of the proposed models to describe the expected thermal variations in healthy and burned tissue. This work demonstrates the potential of the finite volume method to approximate the solution of the Pennes biothermal equation. Overall, this study provides a computational framework for analyzing heat transfer in burn injuries and highlights the relevance of mathematical simulations as a tool for future research on infrared thermography in medicine.</jats:p> - Some of the metrics are blocked by yourconsent settings
Item type:Publication, A Novel Method for Designing Multistable Systems with a Hidden AttractorDynamical systems with chaotic attractors are an interesting topic not only for their complex behavior but also due to their potential applications. Along with the chaos, systems can also present interesting features such as multistability, global basin of attractions, entangled basins of attraction, etc. The existence of chaotic systems with multistable hidden attractors increases complexity but also the number of potential applications. Several systems with hidden attractors have already been found by numerical search; however, it is usually not possible to substantially modify their equations or attractor geometry. In this study, an approach to generate multistable systems with a class of hidden attractors is proposed. The approach allows for the control of the amplitude and frequency of the chaotic signals of the different attractors as well as their location in the space by preserving a simple matrix form in the vector field. Particular cases with mono-stability and multistability are shown. Also, chaotic signals obtained through the approach are used in a pseudorandom number generator to obtain binary sequences which are tested under the Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications provided by the National Institute of Standards and Technology (NIST). - Some of the metrics are blocked by yourconsent settings
Item type:Publication, The Shape of Chaos: A Geometric Perspective on Characterizing Chaos(MDPI AG, 2025-12-20) - Some of the metrics are blocked by yourconsent settings
Item type:Publication, A Comparative Study of Brownian Dynamics Based on the Jerk Equation Against a Stochastic Process Under an External Force Field(MDPI AG, 2025-02-28); <jats:p>Brownian motion has been studied since 1827, leading to numerous important advances in many branches of science and to it being studied primarily as a stochastic dynamical system. In this paper, we present a deterministic model for the Brownian motion for a particle in a constant force field based on the Ornstein–Uhlenbeck model. By adding one degree of freedom, the system evolves into three differential equations. This change in the model is based on the Jerk equation with commutation surfaces and is analyzed in three cases: overdamped, critically damped, and underdamped. The dynamics of the proposed model are compared with classical results using a random process with normal distribution, where despite the absence of a stochastic component, the model preserves key Brownian motion characteristics, which are lost in stochastic models, giving a new perspective to the study of particle dynamics under different force fields. This is validated by a linear average square displacement and a Gaussian distribution of particle displacement in all cases. Furthermore, the correlation properties are examined using detrended fluctuation analysis (DFA) for compared cases, which confirms that the model effectively replicates the essential behaviors of Brownian motion that the classic models lose.</jats:p> - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Analysis of Chaotic Systems in the Generation of Random Phases for Amplitude Holograms<jats:p xml:lang="en">In recent decades, there has been great interest in the development of applications of chaotic systems in cryptographic systems and communication systems due to their non-periodic and long-term unpredictable nature. In this work, the properties of different chaotic systems, both continuous and discrete in time, are analyzed for the generation of pseudo-random phases practical for holography. The different types of dynamics generated by different systems are analyzed using bifurcation diagrams, transition from chaos to periodic orbits and equilibrium points, as well as two methodologies to construct the phase (Cartesian and polar). Our results shows a better performance in discrete-time systems by generating smooth transitions in the formed patterns and avoiding the generation of artifacts in the holograms, given the wider range of parameters in which the system is stable.</jats:p> - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Optical Energy Increasing in a Synchronized Motif-Ring Array of Autonomous Erbium-Doped Fiber Lasers(2024)5