Download Dynamics of Complex Autonomous Boolean Networks by David P. Rosin PDF

By David P. Rosin

This thesis makes a speciality of the dynamics of self sustaining Boolean networks, at the foundation of Boolean good judgment features in non-stop time with out exterior clocking. those networks are learned with built-in circuits on an digital chip as a box programmable gate array (FPGA) with approximately 100,000 good judgment gates, providing an incredibly versatile version procedure. It permits quick and inexpensive layout cycles and massive networks with arbitrary topologies and coupling delays.
The writer offers pioneering effects on theoretical modeling, experimental awareness, and chosen functions. during this regard, 3 periods of novel dynamic habit are investigated: (i) Chaotic Boolean networks are proposed as high-speed actual random quantity turbines with excessive bit charges. (ii) Networks of periodic Boolean oscillators are domestic to long-living brief chimera states, i.e., novel styles of coexisting domain names of spatially coherent (synchronized) and incoherent (desynchronized) dynamics. (iii) Excitable networks convey cluster synchronization and will be used as quickly man made Boolean neurons whose spiking styles will be managed. This paintings offers the 1st experimental platform for giant complicated networks, on the way to facilitate intriguing destiny developments.

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The processing delays in autonomous Boolean networks originate from processing times of the nodes and propagation delays along the links. One important example for an autonomous Boolean network is a synthetic biological circuit termed the “repressilator,” which is similar to naturally occurring biological circuits that function as biological clocks [3]. This circuit includes three transcriptional repressors that inhibit each other in a cyclic way, leading to oscillations [4, 5]. A simplified network topology of the repressilator is shown in Fig.

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