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Excitable Dynamics in Autonomous Boolean Networks

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Dynamics of Complex Autonomous Boolean Networks

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

Abstract

In this chapter, I use autonomous Boolean networks to realize experimental excitable systems that I refer to as Boolean neurons. I couple Boolean neurons into meta-networks that I call Boolean neural networks. After an introduction to excitability in Sect. 8.1, I design and test the Boolean neuron in Sect. 8.2 and couple two Boolean neurons in a small Boolean neural network in Sect. 8.3. (Results of this chapter are published in reference Rosin et al. Europhys. Lett. 100:30003, 2012; I have published previous work on this subject for neuronal and optoelectronic oscillators in references Panchu et al. Int. J. Bif. Chaos 23:1330039, 2013 and Rosin et al. Europhys. Lett. 96:34001, 2011) that helped me with the analysis of the results in this chapter.) The main contributions of this chapter are:

  • designing an autonomous Boolean network with excitable dynamics, which constitutes an accelerated-time artificial neuron termed Boolean neuron;

  • modeling of the Boolean neuron;

  • confirming experimentally theoretical results for the dynamics of neural network motifs.

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Notes

  1. 1.

    The content of this section is published in Ref. [2].

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Authors and Affiliations

  1. Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, 10623, Berlin, Germany

    David P. Rosin

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Correspondence to David P. Rosin .

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Rosin, D.P. (2015). Excitable Dynamics in Autonomous Boolean Networks. In: Dynamics of Complex Autonomous Boolean Networks. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-13578-6_8

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