Discovery of knowledge flow in science
Communications of the ACM - Two decades of the language-action perspective
Knowledge flow network planning and simulation
Decision Support Systems
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The behavior of hypercycle spirals in a two-dimensional cellular automaton model is analyzed. Each of these spirals can be approximated by an Archimedean spiral and the center, width, and phase of the hypercycle spiral change according to Brownian motion. A barrier exists between two spirals if the phase synchronization hypothesis is taken into account, and the occurrence rate of pair decay (the simultaneous disappearance of two spirals) can be explained by the random walk simulation with the barrier. Adjacent species violation is shown to be a necessary condition for creating new spirals. A hypercycle system can live long if the spirals in the system are somewhat unstable, since new spirals cannot emerge when existing spirals are too stable.