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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 ...
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 ...
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 ...
Multifractal properties of elementary cellular automata in a discrete wavelet approach of MF-DFA
(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
(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 ...
Travelling-wave solutions for Korteweg-de Vries-Burgers equations through factorizations
(2006)
"Travelling-wave solutions of the standard and compound form of Korteweg-de Vries-Burgers equations are found using factorizations of the correspond-ing reduced ordinary diferential equations. The procedure leads to solutions ...
A survey of finite algebraic geometrical structures underlying mutually unbiased quantum measurements
(2006)
"The basic methods of constructing the sets of mutually unbiased bases in the Hilbert space of an arbitrary finite dimension are reviewed and an emerging link between them is outlined. It is shown that these methods employ ...
Chaotic dynamics of a nonlinear electronic converter
(2008)
"The nonlinear electronic converter used by Rulkov and collaborators [Rulkov et al., 2001], which is the core of their chaotic oscillator, is modeled and simulated numerically by means of an appropriate direct relationship ...
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 ...
Barotropic FRW cosmologies with a Dirac-like parameter
(2004)
"Using the known connection between Schroedinger-like equations and Dirac-like equations in the supersymmetric context, we discuss an extension of FRW barotropic cosmologies in which a Dirac mass-like parameter is introduced. ...