• Improvement and analysis of a pseudo random bit generator by means of cellular automata 

      Murguía, José; Rosu Barbus, Haret-Codratian (2010)
      "In this paper, we implement a revised pseudo random bit generator based on a rule-90 cellular automaton. For this purpose, we introduce a sequence matrix HN with the aim of calculating the pseudo random sequences of N ...
    • Matrix approach of an encryption system based on cellular automata and its numerical implementation 

      Murguía, José; Flores Eraña, Gustavo; Mejía Carlos, Marcela; Rosu Barbus, Haret-Codratian (2012)
      "The main components of an encryption system based on rule 90 cellular automata, i.e., two indexed families of permutations and a pseudorandom bit generator are implemented in a very xible way through a convenient matrix ...
    • Multifractal analyses of row sum signals of elementary cellular automata 

      Murguía, José; Rosu Barbus, Haret-Codratian (2012)
      "We first apply the WT-MFDFA, MFDFA, and WTMM multifractal methods to binomial multifrac-tal time series of three different binomial parameters and find that the WTMM method indicates an enhanced difference between the fractal ...
    • Multifractal analysis of the symmetry of a strictly isospectral energy landscape on a square lattice 

      de la Cruz Díaz, Josué Domingo; Murguía, José; Rosu Barbus, Haret-Codratian (Elsevier, 2021)
      "We use the Höder regularity analysis to study the symmetry breaking and recovery due to a parametric potential generated via the strictly isospectral factorization method. The initial potential is two-dimensional and ...
    • Multifractal properties of elementary cellular automata in a discrete wavelet approach of MF-DFA 

      Murguía, José; Pérez Terrazas, Jaime Enrique; Rosu Barbus, Haret-Codratian (2009)
      "In 2005, Nagler and Claussen (Phys. Rev. E 71, 067103 (2005)) investigated the time series of the elementary cellular automata (ECA) for possible (multi)fractal behavior. They eliminated the polynomial background atb ...
    • Niederhauser's model for epilepsy and wavelet methods 

      Treviño Gutiérrez, Juan Pablo; Castillo Torres, Victor Hugo; Rosu Barbus, Haret-Codratian; Morán López, José Luis; Murguía, José (2006-06)
      "Wavelets and wavelet transforms (WT) could be a very useful tool to analyze electroencephalogram (EEG) signals. To illustrate the WT method we make use of a simple electric circuit model introduced by Niederhauser [1], ...
    • Perceptual security of encrypted images based on wavelet scaling analysis 

      Vargas Olmos, Cecilia; Murguía, José; Ramírez Torres, Marco Tulio; Mejía Carlos, Marcela; Rosu Barbus, Haret-Codratian (2016)
      "The scaling behavior of the pixel fluctuations of encrypted images is evaluated by using the detrended fluctuation analysis based on wavelets, a modern technique that has been successfully used recently for a wide range ...
    • Scaling analyses based on wavelet transforms for the Talbot effect 

      Rosu Barbus, Haret-Codratian; Murguía, José; Ludu, Andrei (2013)
      "The fractal properties of the transverse Talbot images are analysed with two well-known scaling methods, the wavelet transform modulus maxima (WTMM) and the wavelet transform multifractal detrended fluctuation anal- ysis ...
    • Self-image effects in diffraction and dispersion 

      Rosu Barbus, Haret-Codratian; Treviño Gutiérrez, Juan Pablo; Cabrera Ibarra, Hugo; Murguía, José (2006-06)
      "Talbot's self-imaging effect occurrs in near-field diffraction. In the rational paraxial approximation, the Talbot images are formed at distances z=p/q, where p and q are coprimes, and are superpositions of q equally ...
    • Talbot effect for dispersion in linear optical fibers and a wavelet approach 

      Rosu Barbus, Haret-Codratian; Treviño Gutiérrez, Juan Pablo; Cabrera Ibarra, Hugo; Murguía, José (2006)
      "We shortly recall the mathematical and physical aspects of Talbot’s self-imaging effect occurring in near-field diffraction. In the rational paraxial approximation, the Talbot images are formed at distances z = p/q, where p ...
    • The Hurst exponents of Nitzschia sp. diatom trajectories observed by light microscopy 

      Murguía, José; Rosu Barbus, Haret-Codratian; Jiménez Guerra, Andrés; Gutiérrez Medina, Braulio (Elsevier, 2015)
      "We present the results of an experiment with light microscopy performed to capture the trajectories of live Nitzschia sp. diatoms. The time series corresponding to the motility of this kind of cells along ninety-five ...
    • Two-dimensional DFA scaling analysis applied to encrypted images 

      Vargas Olmos, Cecilia; Murguía, José; Ramírez Torres, Marco Tulio; Mejía Carlos, Marcela; Rosu Barbus, Haret-Codratian; González-Aguilar, Hernán (2015)
      "The technique of detrended fluctuation analysis (DFA) has been widely used to unveil scaling properties of many different signals. In this paper, we determine scaling properties in the encrypted images by means of a ...
    • Wavelet characterization of hyper-chaotic time series 

      Murguía, José; Rosu Barbus, Haret-Codratian; Reyes López, Luis Eduardo; Mejía Carlos, Marcela; Vargas Olmos, Cecilia (Sociedad Mexicana de Física, A.C., 2018)
      A wavelet scaling numerical characterization of time series based on the variance of the wavelet coefficients is used for three well-known four-dimensional and one five-dimensional hyper-chaotic systems. We report several ...
    • Wavelet multifractal detrended fluctuation analysis of encryption and decryption matrices 

      Murguía, José; Mejía Carlos, Marcela; Vargas Olmos, Cecilia; Ramírez Torres, Marco Tulio; Rosu Barbus, Haret-Codratian (2013)
      "In this paper, we study in detail the multifractal features of the main matrices of an encryption system based on a rule-90 cellular automaton. For this purpose we consider the scaling method known as the wavelet transform ...