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Dynamics of Complex Autonomous Boolean Networks

  • Book
  • © 2015

Overview

Authors:
  1. David P. Rosin

    1. Institut für Theoretische Physik, Technische Universität Berlin, Berlin, Germany

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  • Nominated as an outstanding Ph.D. thesis by the Technical University of Berlin, Germany
  • Reports on important progress in the study of complex networks
  • Introduces applications in physical random number generation and neuro-inspired computing
  • Includes hardware code to experimentally realize large complex networks with asynchronous logic designs
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Theses (Springer Theses)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xx
    Download chapter PDF

  2. Introduction

    • David P. Rosin
    Pages 1-12

  3. Previous Work on Boolean Networks

    • David P. Rosin
    Pages 13-23

  4. Autonomous Boolean Networks on Electronic Chips

    • David P. Rosin
    Pages 25-33

  5. Chaotic Dynamics of Autonomous Boolean Networks

    • David P. Rosin
    Pages 35-55

  6. Ultra-Fast Physical Generation of Random Numbers Using Hybrid Boolean Networks

    • David P. Rosin
    Pages 57-79

  7. Periodic Dynamics in Autonomous Boolean Networks

    • David P. Rosin
    Pages 81-105

  8. Chimera Dynamics in Networks of Boolean Phase Oscillators

    • David P. Rosin
    Pages 107-132

  9. Excitable Dynamics in Autonomous Boolean Networks

    • David P. Rosin
    Pages 133-151

  10. Cluster Synchronization in Boolean Neural Networks

    • David P. Rosin
    Pages 153-169

  11. Summary and Outlook

    • David P. Rosin
    Pages 171-172

  12. Back Matter

    Pages 173-199
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Keywords

About this book

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.

Authors and Affiliations

  • Institut für Theoretische Physik, Technische Universität Berlin, Berlin, Germany

    David P. Rosin

About the author

David Rosin studied physics at Technische Universität Berlin, Germany, and received his Bachelor Degree in 2009 and his Master Degree in 2011. He researched complex dynamical networks in the framework of a collaboration between Daniel J. Gauthier from Duke University (USA) and Eckehard Schöll from Technische Universität Berlin (Germany) from 2010 till 2014. This work was submitted as a Doctoral Thesis in physics at Technische Universität Berlin in 2014.

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