[Todos] Coloquio extraordinario DCAO/CIMA - MIÉRCOLES (13/12/2023) 13hs: PRESENCIAL Pab II

[coloquios en cima.fcen.uba.ar]

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Coloquios del Departamento de Ciencias de la Atmósfera y los Océanos 
(DCAO)/
Centro de Investigaciones del Mar y la Atmósfera (CIMA)
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MIÉRCOLES 13/12 a las 13hs:

*** Presencial: Aula 8/Seminarios (CIMA, Pab II, 2do piso) ******

Para quienes no pueden acercarse:
https://exactas-uba.zoom.us/j/83283184938
Meeting ID: 832 8318 4938
Passcode: coloquios

Coloquio Extraordinario en el marco de las visitas de investigadores al 
IRL IFAECI  https://ifaeci.cima.fcen.uba.ar/

Taxonomy of chaotic invariant sets
Dr. Christophe Letellier - Rouen Normandie Université

Characterizing accurately chaotic behaviors is not a trivial problem and 
must allow to determine the properties that two given chaotic invariant 
sets share or not. The underlying problem is the classification of 
chaotic regimes, and their labeling. Addressing these problems 
corresponds to the development of a dynamical taxonomy, exhibiting the 
key properties discriminating the variety of chaotic behaviors discussed 
in the abundant literature. Starting from the hierarchy of chaos 
initially proposed by Otto E. Rössler,  the description of chaotic 
regimes observed in three- and four-dimensional spaces  which cover a 
large variety of known (and less known) examples of chaos is 
systematized. Starting with the spectrum of Lyapunov exponents as the 
first taxonomic ranks, we extended the description to higher ranks with 
some concepts inherited from topology
(bounding torus, surface of section, first-return map, . . . ).
The Rössler and the Lorenz attractors are described in terms of  
template — the highest known taxonomic rank for classifying chaotic 
attractor — with the help of a linking matrix (or linker) and 
multicomponent Poincaré sections. The expected extension with the novel 
concept of templex will be also discussed.

With a PhD thesis devoted to the topological characterization of chaotic 
attractors, Dr. Letellier developped an extended procedure for systems 
with symmetries. He also worked with symbolic dynamics. Involved in 
global modelling (machine learning), He developed a symbolic procedure 
to compute the observability of high-dimensional nonlinear systems and 
now use it to design flat control law (based on global observability and 
global controllability). Dr. Letellier worked for 20 years in biomedical 
applications (noninvasive ventilation, cardiac variability, tumor 
growth). Alongside,  He is deeply interested in history of science.

¡¡Les esperamos!!

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Grupo Coloquios DCAO/CIMA
Departamento de Ciencias de la Atmósfera y los Océanos (FCEN-UBA)
Centro de Investigaciones del Mar y la Atmósfera (CONICET-UBA)
Ciudad Universitaria, Pabellón II, 2do piso.
email: coloquios en cima.fcen.uba.ar
http://www.at.fcen.uba.ar/charlas_not.php
http://www.cima.fcen.uba.ar/coloquios.php

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