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UID:20260710T212856EDT-65532JwfH2@132.216.98.100
DTSTAMP:20260711T012856Z
DESCRIPTION:Title: Global (Local) Invariant Manifolds as Organizing Centers
  for Excitability\n\nAbstract:\n\nOne of the most important features of ne
 urons is their ability to produce action potentials (AP)\, a fast change i
 n membrane voltage associated with other processes that evolve slowly. The
 se action potentials can be in the forms of a single transient spike\, a t
 ransient burst or a periodic burst. In this talk\, I will consider global 
 and local invariant manifolds as the main organizing topological structure
  that explains the underlying mechanisms for the generation of such activi
 ties. First\, I will explain how a stable manifold of a saddle equilibrium
  causes a switching phenomenon in a single transient AP of a cerebellar st
 ellate cell model. Then\, I will introduce an algorithm for computing stab
 le manifolds of a saddle slow manifold using two-point boundary value prob
 lem and continuation methods. Finally\, I will show the role of this manif
 old in determining the dynamics of transient and periodic bursting. This i
 s joint work with Anmar Khadra\, Vivien Kirk and Hinke M. Osinga.\n
DTSTART:20190311T200000Z
DTEND:20190326T210000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Saeed Farjami (McGill)
URL:https://www.mcgill.ca/mathstat/channels/event/saeed-farjami-mcgill-2949
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