Forced synchronization of autonomous dynamical Boolean networks.

Published

Journal Article

We present the design of an autonomous time-delay Boolean network realized with readily available electronic components. Through simulations and experiments that account for the detailed nonlinear response of each circuit element, we demonstrate that a network with five Boolean nodes displays complex behavior. Furthermore, we show that the dynamics of two identical networks display near-instantaneous synchronization to a periodic state when forced by a common periodic Boolean signal. A theoretical analysis of the network reveals the conditions under which complex behavior is expected in an individual network and the occurrence of synchronization in the forced networks. This research will enable future experiments on autonomous time-delay networks using readily available electronic components with dynamics on a slow enough time-scale so that inexpensive data collection systems can faithfully record the dynamics.

Full Text

Duke Authors

Cited Authors

  • Rivera-Durón, RR; Campos-Cantón, E; Campos-Cantón, I; Gauthier, DJ

Published Date

  • August 2015

Published In

Volume / Issue

  • 25 / 8

Start / End Page

  • 083113 -

PubMed ID

  • 26328564

Pubmed Central ID

  • 26328564

Electronic International Standard Serial Number (EISSN)

  • 1089-7682

International Standard Serial Number (ISSN)

  • 1054-1500

Digital Object Identifier (DOI)

  • 10.1063/1.4928739

Language

  • eng