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2012/11/21 李俊憲教授專題演講

演講者:李俊憲教授

單 位:國立高雄師範大學數學系

日 期:2012年11月21日 PM 14:30

地 點:國立高雄大學理學院408

講 題:Error and attack tolerance of synchronization in Hindmarsh-Rose neural networks with community structure

摘 要:

 

Synchronization is one of the most important features observed in large-scale complex networks of interacting dynamical systems. As is well known, there is a close relation between the network topology and the network synchronizability. Using the coupled Hindmarsh-Rose neurons with community structure as a model network, in this talk we explore how failures of the nodes due to random errors or intentional attacks affect the synchronizability of community networks. The intentional attacks are realized by removing a fraction of the nodes with high values in some centrality measure such as the centralities of degree, eigenvector, betweenness and closeness. According to the master stability function method, we employ the algebraic connectivity of the considered community network as an indicator to examine the network synchronizability. Numerical evidences show that the node failure strategy based on the betweenness centrality has the most influence on the synchronizability of community networks. Moreover, under this node failure strategy with a fixed number of communities, we find that the larger the degree of communities, the worse synchronizability of the network; in contrast, for a fixed degree of communities, we observe that the more the number of communities, the better the network synchronizability.

 

 

演講者: 李俊憲教授
講題: Error and attack tolerance of synchronization in
Hindmarsh-Rose neural networks with community
structure
演講日期: 2012-11-21
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