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ENH Seminar Series: Monday, March 29 "Mixed -Mode Oscillations"

University of Southern California

All faculty and students are cordially invited to attend:

“Mixed-Mode Oscillations”

by

Dr. John Guckenheimer

Cornell University

Professor, Mathematics Department

jmg16@cornell.edu

Weekly Seminar Series on

Engineering Neuroscience & Health

Monday, March 29, 2010

11:00  a.m.

RRB: Laufer Conference Room - LIVE

UPC Campus Map/Directions:

http://www.usc.edu/about/visit/upc/

HSC: CHP 147-Video Conference

Center for the Health Professional

HSC Campus Map/Directions:

http://www.usc.edu/about/visit/hsc/

Abstract:

Time series display mixed mode oscillations (MMOs) when there are alternations between two distinct magnitudes of oscillations.  MMOs have been studied most extensively for chemical reactors, where there were a large number of both experimental and theoretical investigations that began over thirty years ago.  Recent interest in the phenomenon has been stimulated by investigations of neuronal models. My ongoing work with Mathieu Desroches, Bernd Krauskopf, Christian Kuehn, Hinke Osinga and Martin Wechselberger seeks to classify mechanisms in multiple  time scale dynamical systems that produce MMOs.  In our work, the small amplitude oscillations occur at transitions between slow and fast segments of a trajectory and result from the interactions of the two time scales.  The lecture will show examples, discuss three mechanisms and differences in the characteristics of the MMOs they produce.

Web Cast

http://capture.usc.edu/college/Catalog/pages/catalog.aspx?catalogId=946350f1-ca84-40e7-b867-e16adba01e4e

Information about all seminars can be found at

http://bbdl.usc.edu/ENH/ENH-Schedule.html

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