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arXiv · 1404.1283

The Kinetic Basis of Self-Organized Pattern Formation

Yuri Shalygo
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Abstract

In his seminal paper on morphogenesis (1952), Alan Turing demonstrated that different spatio-temporal patterns can arise due to instability of the homogeneous state in reaction-diffusion systems, but at least two species are necessary to produce even the simplest stationary patterns. This paper is aimed to propose a novel model of the analog (continuous state) kinetic automaton and to show that stationary and dynamic patterns can arise in one-component networks of kinetic automata. Possible applicability of kinetic networks to modeling of real-world phenomena is also discussed.

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Yuri Shalygo. 2014-03-24. The Kinetic Basis of Self-Organized Pattern Formation. https://arxiv.org/abs/1404.1283

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