PMID: 22587146May 17, 2012Paper

Topological effects on dynamics in complex pulse-coupled networks of integrate-and-fire type

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Maxim S ShkarayevDavid Cai

Abstract

For a class of integrate-and-fire, pulse-coupled networks with complex topology, we study the dependence of the pulse rate on the underlying architectural connectivity statistics. We derive the distribution of the pulse rate from this dependence and determine when the underlying scale-free architectural connectivity gives rise to a scale-free pulse-rate distribution. We identify the scaling of the pairwise coupling between the dynamical units in this network class that keeps their pulse rates bounded in the infinite-network limit. In the process, we determine the connectivity statistics for a specific scale-free network grown by preferential attachment.

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Citations

Jun 13, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Katherine A NewhallDavid Cai
Apr 20, 2021·Research in the Mathematical Sciences·Joseph J KlobusickyPeter R Kramer

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