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UID:20260911T172700EDT-5809TgkvVG@132.216.98.100
DTSTAMP:20260911T212700Z
DESCRIPTION:Title: Impulsive delay differential equations: invariant manifo
 lds\, bifurcations\, control and numerics\n\nAbstract:  The analysis of di
 scontinuous dynamical systems presents some challenges from both a theoret
 ical and applied standpoint. In the infinite-dimensional context of delay 
 equations\, these issues are further compounded: for instance\, the two-pa
 rameter dynamical system associated to such a system can be discontinuous 
 everywhere. With applications in engineering\, the life sciences and other
  areas abound\, there is a clear need to develop theoretical and computati
 onal techniques that can handle such systems.\n\n\n	In this talk we will pr
 esent some recent advances in invariant manifold theory for impulsive func
 tional differential equations (FDE) and some applications to bifurcation a
 nd control. It will be clear from the applications that one of the main bo
 ttlenecks in the analysis of impulsive FDE is the availability of suitable
  numerical methods. To this end\, we will present some current work on spe
 ctral methods for Floquet multipliers and continuation of periodic solutio
 ns in nonlinear equations.\n
DTSTART:20200224T210000Z
DTEND:20200224T220000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Kevin Church (McGill)
URL:https://www.mcgill.ca/mathstat/channels/event/kevin-church-mcgill-32057
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