División de Nanociencias y Materiales: Envíos recientes
Mostrando ítems 461-480 de 589
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Eigenvalue problems, spectral parameter power series, and modern applications
(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 ... -
Spectral parameter power series representation for Hill´s discriminant
(Elsevier, 2010)"We establish a series representation of the Hill discriminant based on the spectral parameter power series (SPPS) recently introduced by V. Kravchenko. We also show the invariance of the Hill discriminant under a Darboux ... -
Cellular automata modeling of continuous stirred tank reactors
(2008)"The classical dynamical systems model of continuous stirred tank reactors (CSTR) in which a first order chemical reaction takes place is reformulated in terms of stochastic cellular automata by extending previous works of ... -
A note on Verhulst's logistic equation and related logistic maps
(2010)"We consider the Verhulst logistic equation and a couple of forms of the corresponding logistic maps. For the case of the logistic equation we show that using the general Riccati solution only changes the initial conditions ... -
Classical harmonic oscillator with Dirac-like parameters and possible applications
(2004)"We obtain a class of parametric oscillation modes that we call K-modes with damping and absorption that are connected to the classical harmonic oscillator modes through the “supersymmetric” one-dimensional matrix procedure ... -
An amplitude-phase (Ermako-Lewis) approach for the Jackiw-Pi model of bilayer graphene
(2009)"In the context of bilayer graphene we use the simple gauge model of Jackiw and Pi to construct its numerical solutions in powers of the bias poten-tial V according to a general scheme due to Kravchenko. Next, using this ... -
Transform of Riccati equation of constant coefficients through fractional procedure
(2003)"We use a particular fractional generalization of the ordinary differential equations that we apply to the Riccati equation of constant coefficients. By this means the latter is transformed into a modified Riccati equation ... -
Riccati-parameter solutions of nonlinear second-order ODEs
(2008)"It has been proven by Rosu and Cornejo-Pérez [1, 2] that for some nonlinear second-order ODEs it is a very simple task to find one particular solution once the nonlinear equation is factorized with the use of two first-order ... -
Understanding the adsorptive and photoactivity properties of Ag-graphene oxide nanocomposites
(2013)"Nanocomposites of graphene oxide (GO) and silver nanoparticles (AgNPs) were synthetized using a practical photochemical silver functionalization. Their photocatalytic activities were evaluated with two dyes, Rhodamine B ... -
Shape invariance through Crum transformation
(2006)"We show in a rigorous way that Crum´s result regarding the equal eigenvalue spectrum of Sturm-Liouville problems can be obtained iteratively by successive Darboux transformations. Furthermore, it can be shown that all ... -
The hyperbolic, the arithmetic and the quantum phase
(2004)"We develop a new approach of the quantum phase in an Hilbert space of finite dimension which is based on the relation between the physical concept of phase locking and mathematical concepts such as cyclotomy and the ... -
N-step linear phase-shifting algorithms with optimum signal to noise phase demodulation
(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 ... -
Mutually unbiased bases and finite projective planes
(2004)"It is conjectured that the question of the existence of a set of d+1 mutually unbiased bases in a d-dimensional Hilbert space if d differs from a power of a prime number is intimately linked with the problem of whether ... -
Periodic Sturm-Liouville problems related to two Riccati equations of constant coefficients
(Elsevier, 2010)"We consider two closely related Riccati equations of constant parameters whose particular solutions are used to construct the corresponding class of supersymmetrically-coupled second-order differential equations. We solve ... -
Detection of mixed-culture growth in the total biomass data by wavelet transforms
(2010)"We have shown elsewhere that the presence of mixed-culture growth of microbial species in fermentation processes can be detected with high accuracy by employing the wavelet transform. This is achieved because the crosses ... -
Adsorption of molecular gases on different porous surfaces using the statistical associating fluid theory variable range approximation
(2012)"In the thermodynamic framework of coupled statistical associating fluid theory variable range (SAFTVR) 2D and 3D models we present the theoretical predictions of the adsorption isotherms in real physical units, as it is ... -
Frenet-Serret vacuum radiation, detection proposals and related topics
(2005)"The paradigmatic Unruh radiation is an ideal and simple case of stationary vacuum radiation patterns related to worldlines defined as Frenet-Serret curves. We review the corresponding body of literature as well as the ... -
Supersymmetric free-damped oscillators: adaptive observer estimation of the Riccati parameter
(2006)"A supersymmetric class of free damped oscillators with three parameters has been obtained in 1998 by Rosu and Reyes through the factorization of the Newton equation. The supple-mentary parameter is the integration constant ... -
Synchronization of the frenet-serret linear system with a chaotic nonlinear system by feedback of states
(2005)"A synchronization procedure of the generalized type in the sense of Rulkov et al [Phys. Rev. E 51, 980 (1995)] is used to impose a nonlinear Malasoma chaotic motion on the Frenet-Serret system of vectors in the differential ... -
Supersymmetry of FRW barotropic cosmologies
(2006)"Barotropic FRW cosmologies are presented from the standpoint of nonrelativis-tic supersymmetry. First, we reduce the barotropic FRW system of diferential equations to simple harmonic oscillator diferential equations. ...