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Spike Synchronization Dynamics of SmallWorld Networks
Derek Harter
Description:
In this research report, we examine the effects of small-world network organization on
spike synchronization dynamics in networks of Izhikevich spiking units. We interpolate
network organizations from regular ring lattices, through the small-world region, to
random networks, and measure global spike synchronization dynamics. We examine
how average path length and clustering effect the dynamics of global and neighborhood
clique spike organization and propagation. We show that the emergence of global
synchronization undergoes a phase transition in the small-world region, between the
clustering and path length phase transitions that are known to exist. We add additional
realistic constraints on the dynamics by introducing propagation delays of spiking
signals proportional to wiring length. The addition of delays interferes with the ability
of random networks to sustain global synchronization, in relation to the breakdown of
clustering in the networks. The addition of delays further enhances the finding that
small-world organization is beneficial for balancing neighborhood synchronized waves
of organization with global synchronization dynamics.
Cite as:
arXiv:1309.5660 [cs.NE]
(or arXiv:1309.5660v1 [cs.NE] for this version)
On Similarity and Entropy of
Neutrosophic Sets
Pinaki Majumdar, S. K. Samanta
Description:
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