Guillermo Huerta Cuellar
@lagos.udg.mx
Departamento de Ciencias Exactas y Tecnología
Centro Universitario de los Lagos, Universidad de Guadalajara
Guillermo Huerta Cuellar recibió el grado de Maestro en Ciencias Aplicadas (Fotónica) en el Instituto de Investigación en Comunicaciones Ópticas (IICO), de la Universidad Autónoma de San Luis Potosí, San Luis Potosí en 2004. Posteriormente, obtuvo un título de Doctorado en Ciencias (Óptica) por el Centro de Investigaciones en Óptica (CIO), León Guanajuato, México, en 2009. Desde 2010 hasta la actualidad, ha estado trabajando en el Departamento de Ciencias Exactas y Tecnología en el Centro Universitario de los Lagos, Universidad de Guadalajara. Ha sido Investigador Visitante en el departamento de Matemáticas Aplicadas en el Instituto Potosino de Investigación Científica y Tecnológica, San Luis Potosí, México (2012-2014), en el Departamento de Teoría de Oscilaciones y Control Automático, Facultad de Radiófisica, Universidad Estatal de Lobachevsky de Nizhny Novgorod, Rusia (2016), estancia sabática en el Departamento de Física y Ciencias Ambientales en la Universidad de St. Mary's, San A
EDUCATION
Doctor en Ciencias (Óptica) con linea en dinámica de láseres.
RESEARCH, TEACHING, or OTHER INTERESTS
Earth and Planetary Sciences, Computational Mechanics, Applied Mathematics, Statistical and Nonlinear Physics
Scopus Publications
Scholar Citations
Scholar h-index
Scholar i10-index
Scopus Publications
D.A. Magallón-García, J.H. García-López, G. Huerta-Cuellar, R. Jaimes-Reátegui, I.A. Diaz-Diaz, and L.J. Ontanon-Garcia
Elsevier BV
Safara Bibi, Guillermo Huerta-Cuellar, José Luís Echenausía-Monroy, Rider Jaimes-Reátegui, Juan Hugo García-López, and Alexander N. Pisarchik
MDPI AG
We present an innovative method harnessing multistability within a diode-pumped erbium-doped fiber laser to construct logic gates. Our approach involves manipulating the intensity of external noise to regulate the probability of transitioning among four concurrent attractors. In this manner, we facilitate the realization of OR, AND, NOR, and NAND logic operations, aligning with the coexisting period-1, period-3, period-4, and period-5 orbits. Employing detrended fluctuation analysis, we establish equilibrium in the probability distributions of these states. The obtained results denote a substantial advancement in the field of optical logic gate development, representing a pivotal stride toward the seamless integration of an all-optical logic gate within laser oscillator-based systems.
Cristiana J. Silva, Monique Chyba, and Guillermo Huerta Cuellar
Frontiers Media SA
Carlos L. Pando Lambruschini, Rider Jaimes-Reátegui, and Guillermo Huerta-Cuéllar
Elsevier BV
José Octavio Esqueda de la Torre, Juan Hugo García-López, Rider Jaimes-Reátegui, Guillermo Huerta-Cuellar, Vicente Aboites, and Alexander N. Pisarchik
MDPI AG
We numerically investigate the dynamics of a ring consisting of three unidirectionally coupled Erbium-Doped Fiber Lasers (EDLFs) without external pump modulation. The study focuses on the system behavior as the coupling strength is varied, employing a six-dimensional mathematical model that includes three variables for laser intensities and three variables for population inversions of all lasers. Our primary objective is to understand the system evolution towards chaos from a stable equilibrium in the ring, considering the impact of increasing coupling strength. To analyze the system’s behavior, we employ various techniques such as time series analysis, power spectra, Poincaré sections, bifurcation diagrams, and Lyapunov exponents. During the transition to chaos, the system undergoes a Hopf bifurcation and a series of torus bifurcations. An essential aspect of this study is the exploration of a rotating wave propagating along the ring, where the wave nature (periodic, quasiperiodic, or chaotic) depends on the coupling strength. Additionally, we observe the coexistence of periodic and chaotic orbits within a specific range of the coupling strength. However, for very strong coupling, this bistability disappears, resulting in a monostable system with a single limit cycle. This regime exhibits potential for applications that demand short laser pulses with a substantial increase in peak power, reaching nearly 20 times higher levels compared to the continuous mode when the lasers are uncoupled. This discovery holds particular importance for optical communication systems, especially considering the attenuation optical signals experience when transmitted over long distances.
Atefeh Ahmadi, Sriram Parthasarathy, Hayder Natiq, Karthikeyan Rajagopal, Guillermo Huerta-Cuellar, and Sajad Jafari
IOP Publishing
Abstract In this paper, the classical Lorenz model is under investigation, in which a periodic heating term replaces the constant one. Applying the variable heating term causes time-dependent behaviors in the Lorenz model. The time series produced by this model are chaotic; however, they have fixed point or periodic-like qualities in some time intervals. The energy dissipation and equilibrium points are examined comprehensively. This modified Lorenz system can demonstrate multiple kinds of coexisting attractors by changing its initial conditions and, thus, is a multi-stable system. Because of multi-stability, the bifurcation diagrams are plotted with three different methods, and the dynamical analysis is completed by studying the Lyapunov exponents and Kaplan-Yorke dimension diagrams. Also, the attraction basin of the modified system is investigated, which approves the appearance of coexisting attractors in this system.
Samuel Mardoqueo Afanador Delgado, Juan Hugo García López, Rider Jaimes Reátegui, Vicente Aboites, José Luis Echenausía Monroy, and Guillermo Huerta Cuellar
MDPI AG
In this paper, the stabilization and high efficiency of an unstable Second Harmonic Generation (SHG) of an Nd:YVO4 laser with a KTP intracavity is demonstrated. By using a passive Q-switching crystal (Cr4+:YAG) and a parametric modulation method (harmonic modulation), the stabilization of the laser is reached. An harmonic modulation was applied to the pumping of the Nd:YVO4-KTP laser to control the amplitude and frequency of the laser emission. The results were characterized by using power spectra analysis, optical spectrum, bifurcation diagrams, and temporal series of the laser intensity. The promising application of this green light source is materialized when such light is necessary for high-density optics, such as in the treatment materials industry or in some aesthetic applications.
J.J. Barba-Franco, L. Romo-Muñoz, R. Jaimes-Reátegui, J.H. García-López, G. Huerta-Cuellar, and A.N. Pisarchik
Elsevier BV
Stephanie Esmeralda Velázquez Pérez, Eric Campos-Cantón, Guillermo Huerta Cuellar, and Héctor Eduardo Gilardi Velázquez
MDPI AG
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.
Daniel Alejandro Magallón-García, Luis Javier Ontanon-Garcia, Juan Hugo García-López, Guillermo Huerta-Cuéllar, and Carlos Soubervielle-Montalvo
MDPI AG
Considering that chaotic systems are immersed in multiple areas of science and nature and that their dynamics are governed by a great sensitivity to the initial conditions and variations in their parameters, it is of great interest for the scientific community to have tools to characterize and reproduce these trajectories. Two dynamic chaotic systems whose equations are based on the jerky system are used as benchmarks, i.e., the Memristive Shaking Chaotic System (MSCS) and the Unstable Dissipative System of type I (UDSI). One characteristic common to them is their simple mathematical structure and the complexity of their solutions. Therefore, this paper presents a strategy for identifying chaotic trajectories using a recurrent wavelet first-order neural network (RWFONN) that is trained online with an error filtering algorithm and considering the Morlet-wavelet as an activation function. The parameters of the network are adjusted considering the Euclidean distance between the solutions. Finally, the results depict proper identification of the chaotic systems studied through analysis and numerical simulation to validate the behavior and functionality of the proposed network.
José Octavio ESQUEDA DE LA TORRE, Juan Hugo GARCÍA LÓPEZ, Rider JAİMES REÁTEGUİ, Alexander N. PİSARCHİK, and Guillermo HUERTA-CUELLAR
Akif Akgul
During the past years, the study of optical injection has been intensely carried in theoretical and experimental realizations, showing interesting emergent behaviors, and synchronized states between other results. This work proposes an experimental scheme of an array of three driven erbium-doped fiber lasers (EDFLs), which dynamics exhibit the coexistence of multiple attractors. The laser array is controlled by a driver EDFL by injecting its optical intensity into the three coupled driven EDFLs array. The experimental realization was with the aim to induce an attractor tracking in the driving lasers, then to get coexisting states with increasing output power, and to study other emergent behavior given by the differences between doped fibers. To find the multistability regions, some bifurcation diagrams of the laser peak intensities are constructed. The obtained results are identified by comparing them with the modulation frequency. In some cases, the obtained results show that the intensity of the optical output signal of the driven systems is increased with respect to the initial individual response. In the case of synchronized states, it’s possible to get an increased signal from the whole system. The obtained results could have important applications in repeaters of communications systems.
Samuel Mardoqueo Afanador Delgado, José Luis Echenausía Monroy, Guillermo Huerta Cuellar, Juan Hugo García López, and Rider Jaimes Reátegui
MDPI AG
At a time when miniaturization and optimization of resources are in the foreground, the development of devices that can perform various functions is a primary goal of technological development. In this work, the use of an Erbium-Doped Fiber Laser (EDFL) is proposed as a basic system for the generation of an optical logic gate. Taking advantage of the dynamic richness of this type of laser and its use in telecommunication systems, the dynamic response is analyzed when the system is perturbed by a digital signal. The emission response of the system is controlled by the intensity of the digital signal, so that it is possible to obtain different logic operations. The numerical results are in good agreement with the experimental observations. The presented work raises new aspects in the use of chaotic systems as a means of obtaining optical logic gates.
J. L. Echenausía-Monroy, S. Jafari, G. Huerta-Cuellar, and H. E. Gilardi-Velázquez
World Scientific Pub Co Pte Ltd
One of the main problems in the study of dynamical systems is to explore the asymptotic behavior of the model when a parameter varies continuously. When these variations lead to the appearance of coexisting states, the study of the global properties of the system becomes an even more complex task, since it is almost impossible to predict the stability change. In this paper, we present a simple method for characterizing qualitative changes in the dynamics of a family of Piece-Wise Linear (PWL) chaotic systems, that transit from monostable to multistable behavior by a single bifurcation parameter. By characterizing the magnitude of the stable and unstable manifolds associated with the eigendirections, it is possible to analytically find tipping points in the linear model that are consistent with the occurrence of coexisting states in the dynamics. The results show agreement between the bifurcation diagrams of the linear operator, the bifurcation diagrams of the PWL system, and the multistability phenomenon validation in analog electronics. The presented work makes it possible to know the mechanism by which the system exhibits the break of its stability and the corresponding basin of attraction. This introduces a new methodology for the analysis of dynamical systems in search of dynamical changes such as coexisting attractors.
José Luis Echenausía-Monroy, Eric Campos, Rider Jaimes-Reátegui, Juan Hugo García-López, and Guillermo Huerta-Cuellar
MDPI AG
Brownian motion is a dynamic behavior with random changes over time (stochastic) that occurs in many vital functions related to fluid environments, stock behavior, or even renewable energy generation. In this paper, we present a circuit implementation that reproduces Brownian motion based on a fully deterministic set of differential equations. The dynamics of the electronic circuit are characterized using four well-known metrics of Brownian motion, namely: (i) Detrended Fluctuation Analysis (DFA), (ii) power law in the power spectrum, (iii) normal probability distribution, and (iv) Mean Square Displacement (MSD); where traditional Brownian motion exhibits linear time growth of the MSD, a Gaussian distribution, a −2 power law of the frequency spectrum, and DFA values close to 1.5. The obtained results show that for a certain combination of values in the deterministic model, the dynamics in the electronic circuit are consistent with the expectations for a stochastic Brownian behavior. The presented electronic circuit improves the study of Brownian behavior by eliminating the stochastic component, allowing reproducibility of the results through fully deterministic equations, and enabling the generation of physical signals (analog electronic signals) with Brownian-like properties with potential applications in fields such as medicine, economics, genetics, and communications, to name a few.
Daniel A. Magallón, Rider Jaimes-Reátegui, Juan H. García-López, Guillermo Huerta-Cuellar, Didier López-Mancilla, and Alexander N. Pisarchik
MDPI AG
A recurrent wavelet first-order neural network (RWFONN) is proposed to select a desired attractor in a multistable erbium-doped fiber laser (EDFL). A filtered error algorithm is used to classify coexisting EDFL states and train RWFONN. The design of the intracavity laser power controller is developed according to the RWFONN states with the block control linearization technique and the super-twisting control algorithm. Closed-loop stability analysis is performed using the boundedness of synaptic weights. The efficiency of the control method is demonstrated through numerical simulations.
J.L. Echenausía-Monroy, H.E. Gilardi-Velázquez, Ning Wang, R. Jaimes-Reátegui, J.H. García-López, and G. Huerta-Cuellar
Elsevier BV
H.E. Gilardi-Velázquez, J.L. Echenausía-Monroy, R. Jaimes-Reátegui, J.H. García-López, Eric Campos, and G. Huerta-Cuellar
Elsevier BV
R. Jaimes-Reátegui, J. M. Reyes-Estolano, J. H. García-López, G. Huerta-Cuellar, C. E. Rivera-Orozco, and A. N. Pisarchik
Springer Science and Business Media LLC
A. Ruiz-Silva, B. B. Cassal-Quiroga, G. Huerta-Cuellar, and H. E. Gilardi-Velázquez
Springer Science and Business Media LLC
R. Jaimes-Reátegui, G. Huerta-Cuellar, J. H. García-López, and A. N. Pisarchik
Springer Science and Business Media LLC
Vicente Aboites, Jorge Francisco Bravo-Avilés, Juan Hugo García-López, Rider Jaimes-Reategui, and Guillermo Huerta-Cuellar
MDPI AG
In this work, the Lotka–Volterra equations where applied to laser physics to describe population inversion and the number of emitted photons. Given that predation and stimulated emissions are analogous processes, two rate equations where obtained by finding suitable parameter transformations for a three-level laser. This resulted in a set of differential equations which are isomorphic to several laser models under accurate parameter identification. Furthermore, the steady state provided two critical points: one where light amplification stops and another where continuous-wave operation is achieved. Lyapunov’s first method of stability yielded the conditions for the convergence to the continuous-wave point, whereas a Lyapunov potential provided its stability regions. Finally, the Q-Switching technique was modeled by introducing a periodic variation of the quality Q of the cavity. This resulted in the transformation of the asymptotically stable fixed point into a limit cycle in the phase space.
R. Jaimes-Reátegui, J.H. García-López, A. Gallegos, G. Huerta Cuellar, P. Chholak, and A.N. Pisarchik
Elsevier BV
AN Pisarchik, R Jaimes-Reátegui, C Rodríguez-Flores, JH García-López, G Huerta-Cuellar, and FJ Martín-Pasquín
Elsevier BV
R. Jaimes-Reátegui, José O. Esqueda De La Torre, J.H. García-López, G. Huerta-Cuellar, V. Aboites, and A.N. Pisarchik
Elsevier BV
J.L. Echenausía-Monroy, H.E. Gilardi-Velázquez, R. Jaimes-Reátegui, V. Aboites, and G. Huerta-Cuellar
Elsevier BV
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