scholarly journals Possibility of Controlling Self-Organized Patterns with Totalistic Cellular Automata Consisting of Both Rules like Game of Life and Rules Producing Turing Patterns

Micromachines ◽  
2018 ◽  
Vol 9 (7) ◽  
pp. 339 ◽  
Author(s):  
Takeshi Ishida
Keyword(s):  
Cellular Automata ◽  
Turing Patterns ◽  
Game Of Life ◽  
Self Organized

scholarly journals Emergence of Turing Patterns in a Simple Cellular Automata-Like Model via Exchange of Integer Values between Adjacent Cells

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Takeshi Ishida
Keyword(s):  
Cellular Automata ◽  
Turing Instability ◽  
Information Networks ◽  
Turing Patterns ◽  
Chemical Agent ◽  
Spatial Structures ◽  
Data Traffic ◽  
Control Data ◽  
Self Organized ◽  
Turing Model

The Turing pattern model is one of the theories used to describe organism formation patterns. Using this model, self-organized patterns emerge due to differences in the concentrations of activators and inhibitors. Here a cellular automata (CA)-like model was constructed wherein the Turing patterns emerged via the exchange of integer values between adjacent cells. In this simple hexagonal grid model, each cell state changed according to information exchanged from the six adjacent cells. The distinguishing characteristic of this model is that it presents a different pattern formation mechanism using only one kind of token, such as a chemical agent that ages via spatial diffusion. Using this CA-like model, various Turing-like patterns (spots or stripes) emerge when changing two of four parameters. This model has the ability to support Turing instability that propagates in the neighborhood space; global patterns are observed to spread from locally limited patterns. This model is not a substitute for a conventional Turing model but rather is a simplified Turing model. Using this model, it is possible to control the formation of multiple robots into such forms as circle groups or dividing a circle group into two groups, for example. In the field of information networks, the presented model could be applied to groups of Internet-of-Things devices to create macroscopic spatial structures to control data traffic.

scholarly journals STABILITY ANALYSIS OF CELLULAR AUTOMATA GENERATED CLUSTERS

2005 ◽  
Vol 12 (1) ◽  
pp. 83-90
Author(s):  
R. Šiugždaite
Keyword(s):  
Cellular Automata ◽  
Power Law ◽  
State Parameter ◽  
Urban System ◽  
Complex Behaviour ◽  
Cellular Automata Model ◽  
Self Organized ◽  
Tai Ji ◽  
Long Time ◽  
Ca Model

The development of regional urban system still remains one of the main problems during the human race history. There are a lot of problems inside this system like overcrowded cities and decaying countryside. All these situations can be reproduced by modelling them using Cellular Automata (CA) [1, 2, 5]. CA models implement algorithms with simple rules and parameter controls, but the result can be a complex behaviour. A stability of naturally formed self‐organized urban system depends on its critical state parameter τ in the power law log(f(x)) = ‐τlog(x). If the system reaches self‐organized critical (SOC) state then it remains in it for a long time. The CA model URBACAM (URBAnistic Cellular Automata Model) describes the long‐lasting term behaviour and shows that the change in behaviour is sensitive to the urban parameter τ of the power law. Regionines urbanistines sistemos vystymasis išlieka viena iš opiausiu problemu žmonijos istorijoje. Keletas tokiu uždaviniu kaip miestu perpildymas, nykstančios kaimo vietoves ir t.t. gali būti nesunkiai modeliuojami naudojant lasteliu automatus (LA). LA metodas ypatingas tuo, kad realizuoja algoritma paprastu taisykliu bei parametru valdymo pagalba, tačiau rezultate galima gauti sudetinga elgsena. Natūraliai susiformavusiu urbanistiniu sistemu stabilumas priklauso nuo sistemos krizines savirangos būsenos (KSB) parametro τ. Jei sistema pasiekia KSB, tai ji ilga laika išlieka joje. LA modelis URBACAM charakterizuoja ilgalaike elgsena ir parodo, jog modelyje jos kitimus itakoja eksponentinio desnio urbanistinis parametras τ.

scholarly journals MPI implementations of Conways Game of Life and Kohomoto-Oono cellular automata

2010 ◽  
Vol 2 (3) ◽  
pp. 319-322
Author(s):  
Anna Yur'evna Subbotina ◽  
Nikolai Igorevich Khokhlov
Keyword(s):  
Cellular Automata ◽  
Game Of Life

scholarly journals Exploring Spatiotemporal Complexity of a Predator-Prey System with Migration and Diffusion by a Three-Chain Coupled Map Lattice

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-19 ◽  
Author(s):  
Tousheng Huang ◽  
Huayong Zhang ◽  
Xuebing Cong ◽  
Ge Pan ◽  
Xiumin Zhang ◽  
...  
Keyword(s):  
Turing Instability ◽  
Coupled Map Lattice ◽  
Self Organization ◽  
Turing Patterns ◽  
Predator Prey ◽  
Migration Rates ◽  
Self Organized ◽  
Prey System ◽  
And Migration ◽  
And Diffusion

The topic of utilizing coupled map lattice to investigate complex spatiotemporal dynamics has attracted a lot of interest. For exploring the spatiotemporal complexity of a predator-prey system with migration and diffusion, a new three-chain coupled map lattice model is developed in this research. Based on Turing instability analysis, pattern formation conditions for the predator-prey system are derived. Via numerical simulation, rich Turing patterns are found with subtle self-organized structures under diffusion-driven and migration-driven mechanisms. With the variation of migration rates, the predator-prey system exhibits a gradual dynamical transition from diffusion-driven patterns to migration-driven patterns. Moreover, new results, the self-organization of non-Turing patterns, are also revealed. We find that even in the cases where the nonspatial predator-prey system reaches collapse, the migration can still drive pattern self-organization. These non-Turing patterns suggest many new possible ways for the coexistence of predator and prey in space, under the effects of migration and diffusion.

Self-organized criticality in the ‘‘game of Life’’

1994 ◽  
Vol 49 (4) ◽  
pp. R2507-R2508 ◽  
Author(s):  
Preben Alstrøm ◽  
João Leão
Keyword(s):  
Game Of Life ◽  
Self Organized ◽  
Self Organized Criticality

EMERGENCE OF UNICELLULAR ORGANISMS FROM A SIMPLE GENERALIZED CELLULAR AUTOMATA

1999 ◽  
Vol 09 (06) ◽  
pp. 1219-1236 ◽  
Author(s):  
RADU DOGARU ◽  
LEON O. CHUA
Keyword(s):  
Cellular Automata ◽  
Piecewise Linear ◽  
Living Systems ◽  
Initial Condition ◽  
Nonlinear Coupling ◽  
Game Of Life ◽  
Dynamical Behaviors ◽  
Unicellular Organisms

The goal of this letter is to report a novel class of dynamical behaviors observed from a generalized cellular automata CNN [Chua, 1998] with piecewise-linear (PWL) cells. Starting from an almost homogeneous initial condition, self-making (autopoietic in the sense of [Varela et al., 1974]) patterns, reminiscent of simple living systems, emerge as a result of the nonlinear coupling among cells. Similar to patterns of organization characterizing living systems, our patterns display features such as growth, maturity and death. The discovery of such patterns was made possible via mutations in several piecewise-linear CNN cell realizations of the "Game of Life" [Conway, 1982].

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