Active networks that maximize the amount of information transmission

M. S. Baptista, J. X. De Carvalho, M. S. Hussein, C. Grebogi

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

This work clarifies the relationship between network circuit (topology) and behavior (information transmission and synchronization) in active networks, e. g. neural networks. As an application, we show how to determine a network topology that is optimal for information transmission. By optimal, we mean that the network is able to transmit a large amount of information, it possesses a large number of communication channels, and it is 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 number1230008
Number of pages25
JournalInternational Journal of Bifurcation and Chaos
Volume22
Issue number2
DOIs
Publication statusPublished - Feb 2012

Fingerprint

Active networks
Maximise
Topology
Neural networks
Electric network topology
Neurons
Synchronization
Network Topology
Neural Networks
Laplacian Matrix
Communication Channels
Neuron
Eigenvalue
Configuration

Keywords

  • active networks
  • information
  • synchronization
  • phase synchronization
  • entropies
  • systems
  • flow

Cite this

Active networks that maximize the amount of information transmission. / Baptista, M. S.; De Carvalho, J. X.; Hussein, M. S.; Grebogi, C.

In: International Journal of Bifurcation and Chaos, Vol. 22, No. 2, 1230008, 02.2012.

Research output: Contribution to journalArticle

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