Reaction-diffusion cellular automata model for the formation of Leisegang patterns

In low dimensions, reaction-diffusion phenomena may not be correctly described by the usual differential equations: fluctuations play an important role on the time behavior of these systems. We present a cellular automata model which simulate such processes, taking into account all the fluctuations and giving the correct dynamics. The implementation of this model on a Connection Machine CM-2 is discussed, as well as the results of the numerical simulations.

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Comparative Analysis of Different Driving Rules in Freeways Based on Cellular Automata Model and Analytic Hierarchy Process

CICTP 2017 ◽

10.1061/9780784480915.399 ◽

2018 ◽

Author(s):

Guizheng Zhang ◽

Jianhong Ye ◽

Yizhe Wang ◽

Weiwei Jing

Keyword(s):

Comparative Analysis ◽

Cellular Automata ◽

Analytic Hierarchy Process ◽

Analytic Hierarchy ◽

Cellular Automata Model ◽

Hierarchy Process

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Statistical Complexity of Boolean Cellular Automata with Short-Term Reaction-Diffusion Memory on a Square Lattice

Complex Systems ◽

10.25088/complexsystems.28.3.357 ◽

2019 ◽

Vol 28 (3) ◽

pp. 357-391

Author(s):

Zakarya Zarezadeh ◽

Giovanni Costantini ◽

Keyword(s):

Cellular Automata ◽

Reaction Diffusion ◽

Square Lattice ◽

Short Term ◽

Statistical Complexity

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Synergistic cellular automata model for dissemination of Internet public opinion

Journal of Computer Applications ◽

10.3724/sp.j.1087.2012.00399 ◽

2013 ◽

Vol 32 (2) ◽

pp. 399-402

Author(s):

Wei FANG ◽

Liu-jin HE ◽

Liang-tu SONG

Keyword(s):

Public Opinion ◽

Cellular Automata ◽

Cellular Automata Model

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A GIS-Based Irregular Cellular Automata Model of Land-Use Change

Environment and Planning B Planning and Design ◽

10.1068/b32098 ◽

2007 ◽

Vol 34 (4) ◽

pp. 708-724 ◽

Cited By ~ 87

Author(s):

Daniel Stevens ◽

Suzana Dragićević

Keyword(s):

Land Use ◽

Cellular Automata ◽

Land Use Change ◽

Spatial Data ◽

Cellular Automata Model ◽

Population Growth Rates ◽

Asynchronous Development ◽

Canadian City ◽

Ca Model ◽

Developing Area

This study proposes an alternative cellular automata (CA) model, which relaxes the traditional CA regular square grid and synchronous growth, and is designed for representations of land-use change in rural-urban fringe settings. The model uses high-resolution spatial data in the form of irregularly sized and shaped land parcels, and incorporates synchronous and asynchronous development in order to model more realistically land-use change at the land parcel scale. The model allows urban planners and other stakeholders to evaluate how different subdivision designs will influence development under varying population growth rates and buyer preferences. A model prototype has been developed in a common desktop GIS and applied to a rapidly developing area of a midsized Canadian city.

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