Simeón Casanova Trujillo

Acerca de las bifurcaciones de un convertidor ZAD-Ćuk

In this paper, we make a bifurcation analysis of a mathematical model for a Cuk converter when it is controlled by center PWM (Pulse Width Modulator) and ZAD (Zero Average Dynamics) strategy. Different nonlinear phenomena like bifurcations and chaos are reported when the parameters associated to the commutation surface are varied. Finally, the existence of chaotic behavior in the system is determined using Lyapunov exponents.

Dynamical Analysis of a Continuous Stirred-Tank Reactor with the Formation of Biofilms for Wastewater Treatment

This paper analyzes the dynamics of a system that models the formation of biofilms in a continuous stirred-tank reactor (CSTR) when it is utilized for wastewater treatment. The growth rate of the microorganisms is modeled using two different kinetics, Monod and Haldane kinetics, with the goal of studying the influence of each in the system. The equilibrium points are identified through a stability analysis, and the bifurcations found are characterized.

New model for a boost converter controlled with non-linear sliding control ZAD

In this paper a new mathematical model is presented for a Boost converter, where parasitic resistances are included. Then the converter is controlled using non-linear sliding ZAD. Numerical simulations in Matlab show the presence of bifurcations and chaotic behavior.

Un teorema fuerte sobre convergencia de funciones

En este articulo se presenta un resultado relacionado con la convergencia de homomorfismos continuos, el cual es la clave para hacer diferenciabilidad en grupos metrizables

Una derivada en grupos metrizables

Se construye una derivada para funciones f :G → H , donde G es un grupo divisible metrizable cualquiera y H es un grupo abeliano metrizable con metrica de grupo. Se enuncian y demuestran alguna propiedades de esta derivada.