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Dynamic of the roots of the Anti-Hurwitz polynomials
Dynamic of the roots of the Anti-Hurwitz polynomials
In the following plots, we present some ideas relatives to the dynamic of the roots of a dual family of Hurwitz polynomials, which helps to describe the asymptotic behaviour of a system modelling rigid structures floating in a viscous fluid (more details see [paper]). This was a collaborative research with professor Denis Matignon and professor Marius Tucsnak.
In this figure we plot the evolution of the four roots in the complex plane, as a function of μ. (a): global picture with 4 trajectories.
(b): zoom in the right-half plane R(σ) > 0, 2 trajectories crossing the segment Re(λ) = |Im(λ)| for a critical value μ referent to the viscosity of the fluid (more details see [paper]).
In this figure we plot the damping rate δ(μ) as a function depending of the viscosity μ (more details see [paper]).
Simulation of an Oscillating Water Column
Simulation of an Oscillating Water Column
videoOWC_colorT10P3.aviIn this video we have worked on the modeling and simulation of an oscillating water column device (more details see [paper]). This was a collaborative research with Edoardo Bocchi and Jiao He.
Unreported cases COVID-19
Unreported cases COVID-19
In the following figures we present some plots relatives to the dynamics of the COVID-19 epidemic on realities with low testing capacity and where the role of the unreported cases is an important indicator for control the actual pandemic. In this paper our case study was the Chilean reality. This was a collaborative research with professor Andrés Navas, USACH, Chile.
Plots of the numerical approximations of the functions of the cumulative reported cases CR(t), cumulative unreported cases CU(t), reported cases R(t) and unreported cases U(t) obtained from the numerical solutions of the model SIRU applied to the Chilean context based on the data of reported cumulated cases up to 14 May 2020 (for more details see our paper).
In this figure we plot the variation of the percentages of the population in quarantine in Chile corresponding to the first 49 days from March 13, 2020 (for more details see our paper).
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