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VERSION:2.0
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SUMMARY:Bernoulli Lecture IV - How canards were born and what they became
DTSTART:20141118T171500
DTEND:20141118T181500
DTSTAMP:20260916T050036Z
UID:1be36c92d75a79f74151ab7c2a44e65b6e4a17aa3e000082b26e97f7
CATEGORIES:Conferences - Seminars
DESCRIPTION:Francine Diener (Université de Nice)\nMarc Diener (Universit
 é de Nice)\nMaciej Krupa (INRIA)\nIn order to test how to take advantage 
 of infinitesimals\, as introduced by Non Standard\nAnalysis\, G. Reeb sugg
 ested in 1977 to consider the behaviour of solutions of one of the most we
 ll known slow-fast dynamics\, the Van der Pol Equation. This initiated a p
 rocess of experimental Mathematics\, with mutual stimulation between abstr
 act theory and numerical experiments that was called “La chasse aux cana
 rds”. Marc Diener will explain first why this duck’s hunt was  more d
 ifficult than expected due to the fact that two canard’s values differ f
 rom an exponentially small amount. We know now that this short live of the
  canards is the sign that the canard’s values  have as asymptotic expan
 sion a divergent series with coefficients growing as n! (called Gevrey ser
 ies). Francine Diener will explain why\, as Poincaré already said\, diver
 gence in this context is not a bad news by a good one. Since the seventies
 \, the canards was the starting points of numerous researches as the pheno
 menon is present in higher dimension and in more complex dynamics.  Marti
 n Krupa will give some examples of these researches.
LOCATION:BI A0 448 https://plan.epfl.ch/?room==BI%20A0%20448
STATUS:CONFIRMED
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