Local cellular automata as an abstract model of self-organizing process

Taichi Haruna*, Yukio Pegio Gunji

*この研究の対応する著者

研究成果: Conference contribution

抄録

In this paper we concern an abstract model of self-organizing process called local cellular automata (LCA) proposed by us recently. The circular organization of living systems is addressed. A consistent circularity is defined by a closure operation on complete lattice. An inconsistent circularity is defined by a quasi-closure called weak closure implied by an internal perspective. Each cell in a LCA receives data about the time developments of its neighbors at one step before. It constructs a (in general incomplete) look-up table by taking closure (or weak closure) of the received data on an appropriate lattice. It applies obtained rule to its own present state and changes the state. In the former half of the paper, the theory which is the basis for LCA based on set lattice is reformulated in terms of complete lattice. In the latter half, we restrict cells' information receiving ability and define restricted local cellular automata (RLCA). The space-time patterns of RLCA are estimated by the variance of input-entropy over a span of time steps. The difference between closure driven RLCA and weak closure driven RLCA is discussed.

本文言語English
ホスト出版物のタイトルCOMPUTING ANTICIPATORY SYSTEMS - CASYS'05
ホスト出版物のサブタイトルSeventh International Conference on Computing Anticipatory Systems
ページ371-380
ページ数10
DOI
出版ステータスPublished - 2006
外部発表はい
イベントCOMPUTING ANTICIPATORY SYSTEMS - CASYS'05: Seventh International Conference on Computing Anticipatory Systems - Liege, Belgium
継続期間: 2005 8 82005 8 13

出版物シリーズ

名前AIP Conference Proceedings
839
ISSN(印刷版)0094-243X
ISSN(電子版)1551-7616

Conference

ConferenceCOMPUTING ANTICIPATORY SYSTEMS - CASYS'05: Seventh International Conference on Computing Anticipatory Systems
国/地域Belgium
CityLiege
Period05/8/805/8/13

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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