THE BIRTH AND DEATH PROCESSES OF HYPERCYCLE SPIRALS

Kazumasa Oida ()
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Kazumasa Oida: ATR Adaptive Communications Research Laboratories, 2-2-2 Hikaridai Seika-cho Soraku-gun, Kyoto 619-0288, Japan

Advances in Complex Systems (ACS), 2003, vol. 06, issue 04, 515-535

Abstract: The behavior of hypercycle spirals in a two-dimensional cellular automaton model is analyzed. Each spiral can be approximated by an Archimedean spiral with center, width, and phase 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 (simultaneous disappearance of two spirals) can be explained through a random walk simulation with the barrier. Simulation experiments show that adjacent species violation is necessary to create new spirals. A hypercycle system can live for a long time if spirals in the system are somewhat unstable, since new spirals cannot emerge when existing spirals are too stable.

Keywords: Hypercycle; origin of life; cellular automaton; survivability (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1142/S0219525903001018

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