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SUMMARY:Kirk  Lecture:  Periodic waves\, stability and modulations - Sylvi
 e Benzoni-Gavage (Université Claude Bernard Lyon 1)
DTSTART:20221122T160000Z
DTEND:20221122T170000Z
UID:TALK192248@talks.cam.ac.uk
DESCRIPTION:Rooted in Poincar&eacute\;'s work regarding the stability of t
 he Solar System\, the qualitative analysis of periodic solutions to Hamilt
 onian dynamical systems is still an active field of research\, especially 
 in infinite dimensions\, either for lattice dynamical systems or partial d
 ifferential equations. The talk will concentrate on periodic waves\, which
  are periodic in both space and time\, on the various notions of stability
  attached to them\, and on their modulations. Widely used in electronics a
 nd telecommunications\, modulations yield many open questions in maths. I 
 will show indeed that the modulation theory coined by Whitham more than fi
 fty years ago still awaits rigorous results as soon as we depart from an i
 ntegrable context.
LOCATION:Seminar Room 1\, Newton Institute
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