Repositorio IPICyT: Envíos recientes
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Nonlinear software sensor for monitoring genetic regulation processes with noise and modeling errors
(2005)"Nonlinear control techniques by means of a software sensor that are commonly used in chemical engineering could be also applied to genetic regulation processes. We provide here a realistic formulation of this procedure ... -
Supersymmetric pairing of kinks for polynomial nonlinearities
(2005)"We show how one can obtain kink solutions of ordinary differential equations with polynomial nonlinearities by an efficient factorization procedure directly related to the factorization of their nonlinear polynomial part. ... -
Genetic algorithm optimization of entanglement
(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 ... -
Existence of periodic orbits in nonlinear oscillators of Emden-Fowler form
(2016)"The nonlinear pseudo-oscillator recently tackled by Gadella and Lara is mapped to an Emden-Fowler (EF) equation that is written as an autonomous two-dimensional ODE system for which we provide the phase-space analysis and ... -
FRW barotropic zero modes: dynamical systems observability
(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 ... -
Newton´s laws of motion in the form of a Riccati equation
(2002)"We discuss two applications of a Riccati equation to Newton´s laws of motion. The first one is the motion of a particle under the influence of a power law central potential V(r)=krε. For zero total energy we show that the ... -
Barotropic FRW cosmologies with Chiellini damping
(2015)"It is known that barotropic FRW equations written in the conformal time variable can be reduced to simple linear equations for an exponential function involving the conformal Hubble rate. Here, we show that an interesting ... -
Integrable dissipative nonlinear second order differential equations via factorizations and Abel equations
(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 ... -
Ermakov-Lewis invariants and Reid systems
(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 ... -
Self-adjoint oscillator operator from a modified factorization
(2011)"By using an alternative factorization, we obtain a self-adjoint oscillator operator of the form Lδ=ddx(pδ(x)ddx)−(x2pδ(x)+pδ(x)−1), where pδ(x)=1+δe−x2, with δ∈(−1,∞) an arbitrary real factorization parameter. At positive ... -
Parametric oscillators from factorizations employing a constant-shifted Riccati solution of the classical harmonic oscillator
(Elsevier, 2011)"We determine the kind of parametric oscillators that are generated in the usual factorization procedure of second-order linear differential equations when one introduces a constant shift of the Riccati solution of the ... -
Cyclotomy and Ramanujan sums in quantum phase locking
(2003)"Phase-locking governs the phase noise in classical clocks through effects described in precise mathematical terms. We seek here a quantum counterpart of these effects by working in a finite Hilbert space. We use a coprimality ... -
An alternative factorization of the quantum harmonic oscillator and two-parameter family of self-adjoint operators
(2012)"We introduce an alternative factorization of the Hamiltonian of the quantum harmonic oscillator which leads to a two-parameter self-adjoint operator from which the standard harmonic oscillator, the one-parameter oscillators ... -
Supersymmetric methods in the traveling variable: inside neurons and at the brain scale
(2008)"We apply the mathematical technique of factorization of differential operators to two different problems. First we review our results related to the supersymmetry of the Montroll kinks moving onto the microtubule walls ... -
Integrable equations with Ermakov-Pinney nonlinearities and Chiellini damping
(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 ... -
One-parameter nonrelativistic supersymmetry for microtubules
(2003)"The one-parameter nonrelativistic supersymmetry of Mielnik [J. Math. Phys. 25, 3387 (1984)] is applied to the simple supersymmetric model of Caticha [Phys. Rev. A 51, 4264 (1995)] in the form used by Rosu [Phys. Rev. E ... -
One-parameter Darboux-transformed quantum actions in thermodynamics
(2002)"We use nonrelativistic supersymmetry, mainly Darboux transformations of the general (one-parameter) type, for the quantum oscillator thermodynamic actions. Interesting Darboux generalizations of the fundamental Planck and ... -
One-parameter supersymmetric Hamiltonians in momentum space
(2015)"Recent results on the one-parameter supersymmetric deformation in momentum space by Curtright and Zachos (2014 J. Phys. A: Math. and Theor. 47 145201) are presented in a more general framework following our own papers. ... -
Gravitational bouncing of a quantum ball: Room for Airy's function Bi
(2002)"I apply (i) a classical version of the Ermakov-Lewis procedure and (ii) the strictly isospectral supersymmetric approach to the Schrodinger free fall of the bouncing ball type. In both cases, the Airy function Bi, which ... -
Generalized Thomas-Fermi equations as the Lampariello class of Emden-Fowler equations
(Elsevier, 2017)"A one-parameter family of Emden-Fowler equations defined by Lampariello's parameter p which, upon using Thomas-Fermi boundary conditions, turns into a set of generalized Thomas-Fermi equations comprising the standard ...