For more information about this meeting, contact Xiantao Li, Yuxi Zheng, Kris Jenssen.
| Title: | (Note unusual room) Isospectral Network Transformations, Spectral Equivalence, and Global Stability of Dynamical Networks |
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| Seminar: | CCMA Luncheon Seminar |
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| Speaker: | Benjamin Webb, Georgie Tech |
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| Abstract Link: | http://people.math.gatech.edu/~bwebb/ |
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| Abstract: |
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| Abstract: Networks are typically modeled in one of two ways. First, as
static graphs whose vertices represent elements of the network and
edges representing interactions between these elements. Second, as
dynamical networks or networks of interacting dynamical systems. In
this talk we present a general procedure allowing for the reduction or
expansion of any network (considered as a graph) which maintains the
spectrum of the network's adjacency matrix up to a known set of
eigenvalues. This procedure can be used to establish new equivalence
relations which partition dynamical networks into spectrally
equivalent classes. Moreover, such transformations are useful in
determining whether a dynamical network has a globally attracting
fixed point. |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 10 / 22 / 2010 |
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| Time: | 12:15pm - 01:30pm |
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