EAN: 9783319135779

DYNAMICS OF COMPLEX AUTONOMOUS BOOLEAN NETWORKS...

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.

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