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SUMMARY:Kevin Church (McGill University\, Canada)
DTSTART:20201013T140000Z
DTEND:20201013T150000Z
DTSTAMP:20260423T024729Z
UID:CRM-CAMP/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CRM-CAMP/24/
 ">Rigorous computation of periodic solutions and Floquet multipliers in de
 lay differential equations with time-forced discontinuities</a>\nby Kevin 
 Church (McGill University\, Canada) as part of CRM CAMP (Computer-Assisted
  Mathematical Proofs) in Nonlinear Analysis\n\n\nAbstract\nI will present 
 some recent work on rigorous computation of periodic solutions for delay d
 ifferential equations with impulse effects. At fixed moments in time\, the
  state of such a system is reset and solutions become discontinuous. Once 
 a periodic solution of such a system has been computed\, its Floquet spect
 rum can be rigorously computed by discretization of the monodromy operator
  (period map) and some technical error estimates. As an application\, we c
 ompute a branch of periodic solutions in the pulse-harvested Hutchinson eq
 uation and examine its stability.\n
LOCATION:https://researchseminars.org/talk/CRM-CAMP/24/
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