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SUMMARY:Transition between weak-noise-induced resonance phenomena in a
  slow-fast neural dynamical system
UID:270b97c4-b06c-447c-80fd-c5967b727f9e
DESCRIPTION:Marius Yamakou Max Planck Institute for Mathematics in the
  Sciences\, Leipzig\, Germany Abstract: We consider a singularly pertu
 rbed stochastic nonlinear dynamical system derived from neuroscience. 
 For this system\, we will independently uncover the mechanisms that un
 derlie two different forms of weak-noise-induced resonance phenomena\,
  namely\, self-induced stochastic resonance (SISR) and inverse stochas
 tic resonance (ISR). We will then show that SISR and ISR are in fact m
 athematically related through the relative geometric positioning (and 
 stability) of the fixed point and the generic folded singularity of th
 e critical manifold of the system. This result could explain the exper
 imental observation where real biological neurons with identical physi
 ological features and synaptic input are found to sometime encode diff
 erent information.
DTSTART:20190910T080000Z
DTEND:20190910T090000Z
LOCATION:Seminarraum Mathematik 04.363
DTSTAMP:20260731T002044Z
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