ATOMOSYD
Analyse TOpologique et MOdélisation de SYstèmes Dynamiques
ATOMOSYD is an acronym to designate the approach we develop to investigate dynamical systems. We are concerned by the topological analysis, that is, a global approach of the phase portrait, and by the possibility to obtain a set of differential equations from measurements. Our researches are performed in CORIA which belongs to CNRS.
Rather than using the popular metric approach, characterization of chaotic attractors is obtained using the topological approach (first-return map to Poincaré section, template or knot-holder, symbolic dynamics, etc.). A particular attention is paid to symmetry properties.
Another issue also deeply investigated concerns global modelling techniques from experimental data. The aim is to obtain a set of differential equations from a recorded time series. In particular, the influence of the choice of the observable is studied. Thus, it has been shown that some variable (a physical quantity) provides a representation of the dynamics which is better than another variable.
All of these techniques have been applied to many different experimental systems conducted by collaborators (electrodissolution, jet atomisation, plasma, combustion in car engines, hydrodynamical systems, pulsating stars, sunsport numbers, ...).
Recently, we focussed our attention on two main applications :
Simulations and control in car engines.
Dynamical analysis and control in biomedecine.
News
Représentations de la confédanse
La danse du chaos ou l’art du mouvement
par Christophe Letellier et la Compagnie Teatri del Vento
Quand : jeudi 11 octobre à 20h au Théâtre de l’Hôtel de Ville du Havre et le samedi 13 Octobre 0 20h30 à la maison de l’Université de Mont Saint-Aignan - Entrée gratuite.
Collaborations
Colloques
Contact
Our friends
working in nonlinear dynamical systems theory
Publications
Scientific Mediations
Teaching
Ubiratan Santos FREITAS
Tomy ·· 11/06/2007
Rina Rabarimanantsoa
Tomy ·· 05/01/2006
Christophe LETELLIER
Tomy ·· 03/11/2004
Jean MAQUET
Tomy ·· 30/10/2003
: Nouveau