L
Luis Gerardo de la Fraga
Researcher at CINVESTAV
Publications - 89
Citations - 1050
Luis Gerardo de la Fraga is an academic researcher from CINVESTAV. The author has contributed to research in topics: Chaotic & Evolutionary algorithm. The author has an hindex of 16, co-authored 79 publications receiving 808 citations. Previous affiliations of Luis Gerardo de la Fraga include Instituto Politécnico Nacional & Spanish National Research Council.
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Hardware implementation of pseudo-random number generators based on chaotic maps
Luis Gerardo de la Fraga,Esteban Torres-Perez,Esteban Tlelo-Cuautle,Cuauhtemoc Mancillas-López +3 more
TL;DR: The usefulness of bifurcation diagrams to implement a pseudo-random number generator (PRNG) based on chaotic maps is shown and the one based on the Bernoulli shift map is shown to be better.
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Dynamics, FPGA realization and application of a chaotic system with an infinite number of equilibrium points
Esteban Tlelo-Cuautle,Esteban Tlelo-Cuautle,Luis Gerardo de la Fraga,Viet-Thanh Pham,Christos Volos,Sajad Jafari,Antonio de Jesus Quintas-Valles +6 more
TL;DR: In this paper, the Lyapunov exponents' spectrum and bifurcation diagram are computed by using a field-programmable gate array (FPGA) and the exponential function is approached by power series and then implemented with adders and multipliers within the FPGA.
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A variant to the “random approximation” of the reference-free alignment algorithm
TL;DR: This paper proposes a variant of the iterative reference-free alignment algorithm that is more independent of the input order of the initial images and which could substitute the random initialization of the RFAA.
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FPGA-based implementation of different families of fractional-order chaotic oscillators applying Grünwald–Letnikov method
Ana Dalia Pano-Azucena,Brisbane Ovilla-Martinez,Esteban Tlelo-Cuautle,Jesús M. Muñoz-Pacheco,Luis Gerardo de la Fraga +4 more
TL;DR: This paper highlights the implementation of different families of fractional-order chaotic oscillators using field-programmable gate arrays (FPGAs), detail the hardware implementation when solving the mathematical models applying the Grunwald–Letnikov method, and highlights the short-memory principle.
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Optimizing the maximum Lyapunov exponent and phase space portraits in multi-scroll chaotic oscillators
TL;DR: In this paper, a non-nominated sorting genetic algorithm was used to optimize two characteristics of multiscroll chaotic oscillators: (a) Maximizing the values of the maximum Lyapunov exponent (MLE), and (b) minimizing the dispersions of the phase space portraits (PSP) among all scrolls in an attractor.