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.
Read Online or Download Dynamics of Complex Autonomous Boolean Networks PDF
Similar system theory books
The aim of this booklet is to supply center fabric in nonlinear research for mathematicians, physicists, engineers, and mathematical biologists. the most objective is to supply a operating wisdom of manifolds, dynamical structures, tensors, and differential kinds. a few purposes to Hamiltonian mechanics, fluid mechanics, electromagnetism, plasma dynamics and keep watch over concept are given utilizing either invariant and index notation.
A radical and hugely obtainable source for analysts in a extensive variety of social sciences. Optimization: Foundations and functions offers a sequence of techniques to the demanding situations confronted by way of analysts who needs to locate find out how to accomplish specific targets, often with the additional worry of constraints at the to be had offerings.
The classical Pontryagin greatest precept (addressed to deterministic finite dimensional keep watch over platforms) is without doubt one of the 3 milestones in sleek regulate conception. The corresponding thought is by means of now well-developed within the deterministic endless dimensional surroundings and for the stochastic differential equations.
A entire dialogue of computerized transit This ebook analyzes the profitable implementations of computerized transit in a number of nations, reminiscent of Paris, Toronto, London, and Kuala Lumpur, and investigates the plain loss of computerized transit functions within the city surroundings within the usa.
- New Software Engineering Paradigm Based on Complexity Science: An Introduction to NSE
- Linear Electronics in Control Systems
- Self-Organized Criticality: Emergent Complex Behavior in Physical and Biological Systems
- Foundations of complex systems: Nonlinear dynamic, statistical physics, information and prediction
- Operations Research and Discrete Analysis
Additional resources for Dynamics of Complex Autonomous Boolean Networks
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 . 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.
S. Socolar, Quantifying the complexity of random Boolean networks. Phys. Rev. E 85, 066107 (2012) 10. A. Pomerance, E. Ott, M. Girvan, W. Losert, The effect of network topology on the stability of discrete state models of genetic control. Proc. Natl. Acad. Sci. A. 106, 8209 (2009) 11. E. G. ), Handbook of Chaos Control (Wiley-VCH, Weinheim, 2008) (second completely revised and enlarged edition) 12. P. Hövel, E. Schöll, Control of unstable steady states by time-delayed feedback methods. Phys. Rev.
Barabási, The large-scale organization of metabolic networks. Nature 407, 651 (2000) 4. B. Elowitz, S. Leibler, A synthetic oscillatory network of transcriptional regulators. Nature 403, 335 (2000) 5. J. E. Socolar, Boolean modeling of collective effects in complex networks. Phys. Rev. E 79, 061908 (2009) 6. A. Kauffman, The Origins of Order: Self Organization and Selection in Evolution (Oxford University Press, New York, 1993) 7. J. W. Burks, Theory of Self-Reproducing Automata (University of Illinois Press, Urbana, 1966) 8.