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PI-controlled bioreactor as a generalized Liénard system
(Elsevier, 2007)
"It is shown that periodic orbits can emerge in Cholette’s bioreactor model working under the influence of a PI-controller. We find a diffeomorphic coordinate trans-formation that turns this controlled enzymatic reaction ...
Solutions of the perturbed KdV equation for convecting fluids by factorizations
(2010)
"In this paper, we obtain some new explicit travelling wave solutions of the perturbed KdV equation through recent factorization techniques that can be performed when the coefficients of the equation fulfill a certain ...
A simple electronic circuit realization of the tent map
(2009)
"We present a very simple electronic implementation of the tent map, one of the best-known discrete dynamical systems. This is achieved by using integrated circuits and passive elements only. The experimental behavior of ...
Shifted riccati procedure: application to conformal barotropic FRW cosmologies
(2011)
"In the case of barotropic FRW cosmologies, the Hubble parameter in conformal time is the solution of a simple Riccati equation of constant coefficients. We consider these cosmologies in the framework of nonrelativistic ...
Reconfigurable dynamical logic gate with linear core
(2013)
"A dynamically reconfigurable linear core logic gate is a device that allows logical outputs dependent upon configurable parameters set within device. The device is comprised of three blocks: The first block receives at ...
Words for nobel prizes
(2003)
"We present the statistics of the significant nouns and adjectives of social impact figuring in the nominations of the Nobel prizes in Physics and Chemistry over the period of the awards from 1901 to 2001."
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 ...
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 ...
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 ...