• Eigenvalue problems, spectral parameter power series, and modern applications 

      Rosu Barbus, Haret-Codratian (2015)
      "Our review is dedicated to a wide class of spectral and transmission problems arising in di?erent branches of applied physics. One of the main di?culties in studying and solving eigenvalue problems for operators with ...
    • Ermakov systems with multiplicative noise 

      Rosu Barbus, Haret-Codratian (2014)
      "Using the Euler-Maruyama numerical method, we present calculations of the Ermakov-Lewis invariant and the dynamic, geometric, and total phases for several cases of stochastic parametric oscillators, including the simplest ...
    • Ermakov-Lewis invariants and Reid systems 

      Mancas, Stefan C; Rosu Barbus, Haret-Codratian (2014)
      "Reid´s mth-order generalized Ermakov systems of nonlinear coupling constant ? are equivalent to an integrable Emden-Fowler equation. The standard Ermakov-Lewis invariant is discussed from this perspective, and a closed ...
    • FRW barotropic zero modes: dynamical systems observability 

      Rosu Barbus, Haret-Codratian; Ibarra Junquera, Vrani (2007)
      "The dynamical systems observability properties of barotropic bosonic and fermionic FRW cosmological oscillators are investigated. Nonlinear techniques for dynamical analysis have been recently developed in many engineering ...
    • Genetic algorithm optimization of entanglement 

      Navarro Muñoz, Jorge Carlos; Rosu Barbus, Haret-Codratian; López Sandoval, Román (2006)
      "We present an application of a genetic algorithmic computational method to the optimization of the concurrence measure of entanglement for the cases of one dimensional chains, as well as square and triangular lattices in ...
    • Grafeno: el alótropo más prometedor del carbono 

      Méndez Medrano, María Guadalupe; Rosu Barbus, Haret-Codratian; Torres González, Luis Adolfo (2012)
      "Después de una breve revisión de la historia de los alótropos del carbono conocidos al momento, nos enfocamos en el más reciente de ellos, el grafeno, cuyas propiedades extraordinarias se deben a la propagación relativista ...
    • High-gain nonlinear observer for simple genetic regulation process 

      Torres González, Luis Adolfo; Ibarra Junquera, Vrani; Escalante Minakata, María del Pilar; Rosu Barbus, Haret-Codratian (Elsevier, 2007)
      "High-gain nonlinear observers occur in the nonlinear automatic control theory and are in standard usage in chemical engineering processes. We apply such a type of analysis in the context of a very simple one-gene reg-ulation ...
    • 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 ...
    • Inferring mixed-culture growth from total biomass data in a wavelet approach 

      Ibarra Junquera, Vrani; Escalante Minakata, María del Pilar; Rosu Barbus, Haret-Codratian (Elsevier, 2006)
      "It is shown that the presence of mixed-culture growth in batch fermentation processes can be very accurately inferred from total biomass data by means of the wavelet analysis for singularity detection. This is accomplished ...
    • Integrable Abel equations and Vein's Abel equation 

      Mancas, Stefan C; Rosu Barbus, Haret-Codratian (2016)
      "We first reformulate and expand with several novel findings some of the basic results in the integrability of Abel equations. Next, these results are applied to Vein's Abel equation whose solutions are expressed in terms ...
    • Integrable dissipative nonlinear second order differential equations via factorizations and Abel equations 

      Mancas, Stefan C; Rosu Barbus, Haret-Codratian (2013)
      "We emphasize two connections, one well known and another less known, between the dissipative nonlinear second order differential equations and the Abel equations which in its first kind form have only cubic and quadratic ...
    • Integrable equations with Ermakov-Pinney nonlinearities and Chiellini damping 

      Mancas, Stefan C; Rosu Barbus, Haret-Codratian (Elsevier, 2015)
      "We introduce a special type of dissipative Ermakov-Pinney equations of the form v?? + g(v)v? + h(v) = 0, where h(v) = h0(v) + cv?3 and the nonlinear dissipation g(v) is based on the corresponding Chiellini integrable Abel ...
    • La codificación de los quipus incas 

      Cabrera Ibarra, Hugo; Rosu Barbus, Haret-Codratian; Torres González, Luis Adolfo; Treviño Gutiérrez, Juan Pablo (2007)
    • 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 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 ...
    • Mutually unbiased phase states, phase uncertainties, and Gauss sums 

      Planat, Michel; Rosu Barbus, Haret-Codratian (2005)
      "Mutually unbiased bases (MUBs), which are such that the inner product between two vectors in different orthogonal bases is a constant equal to 1/d?, with d the dimension of the finite Hilbert space, are becoming more and ...
    • N-step linear phase-shifting algorithms with optimum signal to noise phase demodulation 

      Adonai Gonzalez, Christhian; Servín Guirado, Manuel; Estrada Rico, Julio Cesar; Rosu Barbus, Haret-Codratian (2011)
      "A common way to test an optical wavefront is to use a phase-shifting interferometer along with (for example) a three-step linear phase-shifting algorithm (PSA). The following fundamental question arises: what phase step ...
    • Near UV-blue excitable green-emitting nanocrystalline oxide 

      Rodríguez García, Carlos Eduardo; Perea López, Néstor; Hirata Flores, Gustavo Alonso (Hindawi, 2011)
      "Green-emitting Eu-activated powders were produced by a two-stage method consisting of pressure-assisted combustion synthesis and postannealing in ammonia. The as-synthesized powders exhibited a red photoluminescence (PL) ...
    • 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], ...
    • Nongauge bright soliton of the nonlinear Schrödinger (NLS) equation and a family of generalized NLS equations 

      Reyes, Marco A.; Gutiérrez Ruiz, Daniel; Mancas, Stefan C; Rosu Barbus, Haret-Codratian (2016)
      "We present an approach to the bright soliton solution of the nonlinear Schrödinger (NLS) equation from the standpoint of introducing a constant potential term in the equation. We discuss a "nongauge" bright soliton for ...