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UID:20250805T181029EDT-3008T97UXm@132.216.98.100
DTSTAMP:20250805T221029Z
DESCRIPTION:Title:A codimension-four singularity with potential\n\nAbstract
 :\n\nPeriodic alternations of spiking and quiescence\, known as bursting o
 scillations\, are often modelled by systems that exhibit both slow and fas
 t time scales. In such systems\, one or more slow variables carry the fast
  variables through a sequence of bifurcations that mediate transitions bet
 ween oscillations and steady states. A classification of different burstin
 g types can be obtained by characterising the bifurcations found in the ne
 ighbourhood of a singularity\; a measure of the complexity of the bursting
  oscillation is then given by the smallest codimension of the singularitie
 s near which it occurs. We investigate bursting oscillations that occur ne
 ar the central codimension-four singularity of a conjectural unfolding of 
 the full family of cubic Liénard equations. Our motivation is that a parti
 cular type of bursting\, called fold/subHopf or pseudo-plateau bursting\, 
 had not yet been properly classified. We find that the codimension-four do
 ubly-degenerate Bodganov-Takens singularity is an excellent candidate for 
 the organising center that unifies almost all known bursting types. The su
 bsequent numerical investigation of the respective bifurcation diagrams le
 d\, in turn\, to new insight on how this codimension-four unfolding manife
 sts itself as a sequence of bifurcation diagrams on the surface of a spher
 e.\n
DTSTART:20180917T200000Z
DTEND:20180917T210000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Hinke Osinga (University Auckland)
URL:/mathstat/channels/event/hinke-osinga-university-a
 uckland-289255
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