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Dynamics of Complex Autonomous Boolean Networks (Hardcover, 2015 ed.)
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Dynamics of Complex Autonomous Boolean Networks (Hardcover, 2015 ed.)
Series: Springer Theses
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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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