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SUMMARY:The thresholds of an excitable system - Rodolphe Sepulchre\, KU Le
 uven and University of Cambridge
DTSTART:20250220T140000Z
DTEND:20250220T150000Z
UID:TALK228640@talks.cam.ac.uk
CONTACT:Fulvio Forni
DESCRIPTION:An excitable behavior is best characterized by its threshold. 
 But what is the threshold of an excitable behavior ?  This talk will brief
 ly review the history of this longstanding question in order to highlight 
 the difficulty of defining a mathematical concept of threshold for a close
 d dynamical system. This limitation motivates a novel definition of thresh
 old for open physical systems within the classical framework of dissipativ
 ity theory.  The proposed definition is tested on the paradigmatic model o
 f Hodgkin and Huxley. It is shown to motivate a number of novel research q
 uestions in control theory.  In particular\, we discuss the generalization
  of dissipative theory from RC circuits to circuits that contain memristiv
 e elements and constant voltage sources. Such neuromorphic circuits lead t
 o an attractive generalization of the LQR problem.\n\nThe seminar will be 
 held in the JDB Seminar Room \, Department of Engineering\, and online (zo
 om): https://newnham.zoom.us/j/92544958528?pwd=YS9PcGRnbXBOcStBdStNb3E0SHN
 1UT09
LOCATION:JDB Seminar Room\, Department of Engineering and online (Zoom)
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