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NJIT Mathematical Biology Seminar
Tuesday, March 24, 2009, 4:00pm
Cullimore Hall 611
New Jersey Institute of Technology
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Bursting, Horseshoes and Chaos in Piecewise Continuous Maps
Department of Mathematical Sciences, NJIT
Recent work (Matveev, Bose and Nadim) shows how the bursting dynamics of a two cell inhibitory network can be captured by a one-dimensional map. We focus on a simplified version of this map where there is a possibility of having chaotic solutions. By reviewing horseshoe mapping and discrete dynamics, we show one of the ways how chaos can be confirmed in dynamical systems. Finally, we try to apply similar approach to confirming chaos in our map.
Last Modified: Nov 28, 2007
Horacio G. Rotstein
h o r a c i o @ n j i t . e d u
Last modified: Mon Mar 16 22:06:49 EDT 2009