Finding quasi-optimal network topologies for information transmission in active networks

Murilo Da Silva Baptista, Josue X de Carvalho, Mahir S Hussein

Research output: Contribution to journalArticle

14 Citations (Scopus)
4 Downloads (Pure)

Abstract

This work clarifies the relation between network circuit (topology) and behaviour (information transmission and synchronization) in active networks, e.g. neural networks. As an application, we show how one can find network topologies that are able to transmit a large amount of information, possess a large number of communication channels, and are robust under large variations of the network coupling configuration. This theoretical approach is general and does not depend on the particular dynamic of the elements forming the network, since the network topology can be determined by finding a Laplacian matrix (the matrix that describes the connections and the coupling strengths among the elements) whose eigenvalues satisfy some special conditions. To illustrate our ideas and theoretical approaches, we use neural networks of electrically connected chaotic Hindmarsh-Rose neurons.

Original languageEnglish
Article numbere3479
Number of pages11
JournalPloS ONE
Volume3
Issue number10
DOIs
Publication statusPublished - 22 Oct 2008

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