Dynamics of Complex Autonomous Boolean Networks

  • David P. Rosin

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xx
  2. David P. Rosin
    Pages 1-12
  3. David P. Rosin
    Pages 13-23
  4. David P. Rosin
    Pages 171-172
  5. Back Matter
    Pages 173-199

About this book

Introduction

This thesis focuses on the dynamics of autonomous Boolean networks, on the basis of Boolean logic functions in continuous time without external clocking. These networks are realized with integrated circuits on an electronic chip as a field programmable gate array (FPGA) with roughly 100,000 logic gates, offering an extremely flexible model system. It allows fast and cheap design cycles and large networks with arbitrary topologies and coupling delays.
The author presents pioneering results on theoretical modeling, experimental realization, and selected applications.  In this regard, three classes of novel dynamic behavior are investigated: (i) Chaotic Boolean networks are proposed as high-speed physical random number generators with high bit rates. (ii) Networks of periodic Boolean oscillators are home to long-living transient chimera states, i.e., novel patterns of coexisting domains of spatially coherent (synchronized) and incoherent (desynchronized) dynamics. (iii) Excitable networks exhibit cluster synchronization and can be used as fast artificial Boolean neurons whose spiking patterns can be controlled. This work presents the first experimental platform for large complex networks, which will facilitate exciting future developments.

Keywords

Autonomous Boolean Networks Chimera States Cluster Synchronization Complex Boolean Networks FPGA Book Field Programmable Gate Array Field Programmable Gate Array High-speed Random Number Generator Neural Spiking Satterns Neuro-inspired Computing

Authors and affiliations

  • David P. Rosin
    • 1
  1. 1.Institut für Theoretische PhysikTechnische Universität BerlinBerlinGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-13578-6
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-13577-9
  • Online ISBN 978-3-319-13578-6
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • About this book