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Article
Publication date: 1 February 2003

Andrew Wuensche

DDLab is interactive graphics software for creating and visualizing discrete dynamical networks, and studying their behavior in terms of both space‐time patterns and basins of…

1087

Abstract

DDLab is interactive graphics software for creating and visualizing discrete dynamical networks, and studying their behavior in terms of both space‐time patterns and basins of attraction. The networks can range from cellular automata to random Boolean networks. This article provides some general background, and gives the flavor of DDLab with a range of examples. Further details can be found at www.ddlab.comwww.ddlab.com

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Kybernetes, vol. 32 no. 1/2
Type: Research Article
ISSN: 0368-492X

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Article
Publication date: 1 February 2003

Andrew Adamatzky

1228

Abstract

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Kybernetes, vol. 32 no. 1/2
Type: Research Article
ISSN: 0368-492X

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Article
Publication date: 27 April 2012

Andrew Adamatzky

33

Abstract

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Kybernetes, vol. 41 no. 3/4
Type: Research Article
ISSN: 0368-492X

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Article
Publication date: 1 November 1999

Andrew Wuensche

78

Abstract

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Kybernetes, vol. 28 no. 8
Type: Research Article
ISSN: 0368-492X

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Article
Publication date: 1 April 2003

161

Abstract

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Kybernetes, vol. 32 no. 3
Type: Research Article
ISSN: 0368-492X

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Article
Publication date: 1 December 1994

Crayton C. Walker and Jaideep G. Motwani

Insights derived from the theory of complex systems and theoretical biology suggest that “small‐scale modelling” may be valuable in the construction of management theory…

382

Abstract

Insights derived from the theory of complex systems and theoretical biology suggest that “small‐scale modelling” may be valuable in the construction of management theory. Small‐scale modelling can be used to embed managerial perspectives in models. For that reason small‐scale modelling shows some prospect for producing what might be called inherently useful theory, namely, theory that recognizes the pragmatic limitations accompanying its use. As an example of the modelling approach, examines aspects of the management of workgroup routine. Considers directions for further research.

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Kybernetes, vol. 23 no. 9
Type: Research Article
ISSN: 0368-492X

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Article
Publication date: 16 October 2009

Andrew Schumann and Andrew Adamatzky

The purpose of this paper is to fill a gap between experimental and abstract‐theoretic models of reaction‐diffusion computing. Chemical reaction‐diffusion computers are amongst…

276

Abstract

Purpose

The purpose of this paper is to fill a gap between experimental and abstract‐theoretic models of reaction‐diffusion computing. Chemical reaction‐diffusion computers are amongst leading experimental prototypes in the field of unconventional and nature‐inspired computing. In the reaction‐diffusion computers, the data are represented by concentration profiles of reagents, information is transferred by propagating diffusive and phase waves, computation is implemented in interaction of the traveling patterns, and results of the computation are recorded as a final concentration profile.

Design/methodology/approach

The paper analyzes a possibility of co‐algebraic representation of the computation in reaction‐diffusion systems using reaction‐diffusion cellular‐automata models.

Findings

Using notions of space‐time trajectories of local domains of a reaction‐diffusion medium the logic of trajectories is built, where well‐formed formulas and their truth‐values are defined by co‐induction. These formulas are non‐well‐founded set‐theoretic objects. It is demonstrated that the logic of trajectories is a co‐algebra.

Research limitations/implications

The paper uses the logic defined to establish a semantical model of the computation in reaction‐diffusion media.

Originality/value

The work presents the first ever attempt toward mathematical formalization of reaction‐diffusion processes and is built building up semantics of reaction‐diffusion computing. It is envisaged that the formalism produced will be used in developing programming techniques of reaction‐diffusion chemical media.

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Kybernetes, vol. 38 no. 9
Type: Research Article
ISSN: 0368-492X

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79

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Kybernetes, vol. 41 no. 5/6
Type: Research Article
ISSN: 0368-492X

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Article
Publication date: 16 March 2010

Andrew Adamatzky and Genaro J. Martinez

Studies in complexity of cellular automata do usually deal with measures taken on integral dynamics or statistical measures of space‐time configurations. No one has tried to…

208

Abstract

Purpose

Studies in complexity of cellular automata do usually deal with measures taken on integral dynamics or statistical measures of space‐time configurations. No one has tried to analyze a generative power of cellular‐automaton machines. The purpose of this paper is to fill the gap and develop a basis for future studies in generative complexity of large‐scale spatially extended systems.

Design/methodology/approach

Let all but one cell be in alike state in initial configuration of a one‐dimensional cellular automaton. A generative morphological diversity of the cellular automaton is a number of different three‐by‐three cell blocks occurred in the automaton's space‐time configuration.

Findings

The paper builds a hierarchy of generative diversity of one‐dimensional cellular automata with binary cell‐states and ternary neighborhoods, discusses necessary conditions for a cell‐state transition rule to be on top of the hierarchy, and studies stability of the hierarchy to initial conditions.

Research limitations/implications

The method developed will be used – in conjunction with other complexity measures – to built a complete complexity maps of one‐ and two‐dimensional cellular automata, and to select and breed local transition functions with highest degree of generative morphological complexity.

Originality/value

The hierarchy built presents the first ever approach to formally characterize generative potential of cellular automata.

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Kybernetes, vol. 39 no. 1
Type: Research Article
ISSN: 0368-492X

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Article
Publication date: 1 March 1997

Andrew Adamatzky

To program cellular automata is to define cell neighbourhood and cell‐state transition rules in order to design an automation which exhibits determined patterns in its evolution…

487

Abstract

To program cellular automata is to define cell neighbourhood and cell‐state transition rules in order to design an automation which exhibits determined patterns in its evolution or which transforms a given image into another image. In general, a tool for the automatic programming of cellular automata should translate the tuple (source‐configuration) → (target‐configuration) into a set of cell‐state transition rules. This is a problem which has not been completely solved yet. Attempts to show examples of automatic programming of cellular automata using identification algorithms. Results obtained can be used in the design of massively parallel processors with cellular‐automata architecture and a conventional, as well as non‐traditional (e.g. molecular and chemical), elementary base.

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Kybernetes, vol. 26 no. 2
Type: Research Article
ISSN: 0368-492X

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