PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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
Seminar:CCMA Luncheon Seminar
Speaker:Benjamin Webb, Georgie Tech
Abstract Link:http://people.math.gatech.edu/~bwebb/
Abstract:
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
Date:10 / 22 / 2010
Time:12:15pm - 01:30pm