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UID:20251219T193107EST-4847COijbR@132.216.98.100
DTSTAMP:20251220T003107Z
DESCRIPTION:Title:Why be afraid of state-dependent delays?\n\nAbstract:\n\n
 Delay differential equations (DDEs) are the mathematical models of choice 
 in applications where delays arise naturally\, for example\, due to the ti
 me it takes different subsystems to communicate\, process information and 
 finally react. It is a good approximation in many cases to model such dela
 y as constant. On the other hand\, communication/processing times may well
  depend on the state of the system in a significant way. What does this me
 an for the dynamics of the governing DDE?\n	After a brief introduction to s
 ystems with delays\, we present as a test-case example a prototypical conc
 eptual DDE model for the El Niño Southern Oscillation climate system. We p
 resent physical arguments for the state-dependence of relevant delays and 
 conduct a bifurcation analysis that demonstrates its effects for the overa
 ll dynamics of the system.\n	Apart from the specific interest for climate d
 ynamics\, this example also serves as a 'health warning' that state depend
 ence is capable of generating additional dynamical phenomena. Hence\, it m
 ust be taken seriously in applications. On the other hand\, as this talk w
 ill also demonstrate\, tools from bifurcation theory and associated numeri
 cal methods are now available to deal effectively with state-dependent del
 ays. This means that there is no need to avoid/disregard state dependence 
 in DDE models.\n	This is joint work with Andre Keane (Auckland) and Henk Di
 jkstra (Utrecht).\n
DTSTART:20180904T200000Z
DTEND:20180904T210000Z
LOCATION:Room 1214\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Bernd Krauskopf  (University of Auckland)
URL:/mathstat/channels/event/bernd-krauskopf-universit
 y-auckland-289172
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