Summary
the 2014 International Symposium on Nonlinear Theory and its Applications
2014
Session Number:D2L-A
Session:
Number:D2L-A5
Bursting synchronization in clustered networks of Hodgkin-Huxley-type neurons
Ricardo L. Viana, Thiago de L. Prado, Sergio R. Lopes, Carlos A. S. Batista, Jurgen Kurths,
pp.747-750
Publication Date:2014/9/14
Online ISSN:2188-5079
Summary:
We considered a clustered network of bursting neurons described by the Huber-Braun model [1]. In the upper level of the network we used the connectivity matrix of the cat cerebral cortex network, and in the lower level each cortex area (or cluster) is modelled as a small-world network [2]. There are two different coupling strengths related to inter and intra-cluster dynamics. Each bursting cycle is composed of a quiescent period followed by a rapid chaotic sequence of spikes, and we defined a geometric phase such that it is possible to investigate the onset of synchronized bursting, as the state in which the neuron start bursting at the same time, whereas their spikes may remain uncorrelated [3]. The bursting synchronization of a clustered network has been investigated using order parameter and the average field of the network, in order to identify regimes in which each cluster may display synchronized behavior, whereas the overall network does not. We introduce quantifiers to evaluate the relative contribution of each cluster in the partial synchronized behavior of the whole network.