LABORATORY J.A. DIEUDONNE

UMR CNRS-UNS N°6621
                    Pascal Chossat


    Research Director, CNRS                        

Contact
Address :
Laboratoire J.A.Dieudonné
UMR CNRS-UNS N°6621
Université de Nice Sophia-Antipolis
Parc Valrose
06108 NICE Cedex 2
Phone Number : 04 92 07 XX XX
Fax Number : 04 93 51 79 74
Mail : pascal.chossat@unice.fr
Research Topics

My main theme of scientific research is Equivariant Bifurcation Theory, a mathematical approach to the problems of spontaneous symmetry-breaking, patternselection and dynamics of nonlinear systems which inherit from their basic physical set-up a certain amount of symmetry. This theory hasundergone a considerable development since the late seventies. It has been very successful in understanding and predicting pattern formationand time evolution of some classical hydrodynamical systems, especially the Couette-Taylor problem and the Bénard problem. Its applications extend to many other areas of Science, like for example Biology, Phase Transitions and Mechanical Systems,.
It is a focal point for the application of  mathematical fields such as geometry, algebra, functional analysis,dynamical systems. It provides a beautiful theoretical framework which unifies and classifies natural phenomena as different as the evolutionof  instabilities in rotating fluid flows, the competition of species in population dynamics and the occurence of self-oscillationsin certain chemical reactions (like the famous Belousov-Zhabotinsky experiment).
My main contributions can be divided into the following domains:

I was awarded "prix Berthaud", French Academy of Science, 1993.

I am a member of the team-project Neuromathcomp (INRIA-UNS-CNRS) since 2011.

Research management (since 2001)
Publications

Books

Papers (since 2001)

Preprints

Pictures and videos

        1. Heteroclinic cycle in the case of Fig. 10
        2. Heteroclinic cycle in the case of Fig. 11
        3. Heteroclinic cycle in the case of Fig. 12