Autonomous indefiniteness versus external indefiniteness: Theory of weak topped ∩-structure and its application to elementary local cellular automaton

Taichi Haruna, Yukio Pegio Gunji

研究成果: Article査読

3 被引用数 (Scopus)

抄録

We propose a theory to formalize the indefinite features of living systems in the framework of weak topped ∩-structure. This theory contains two notions of indefiniteness, one is called external indefiniteness and the other is called autonomous indefiniteness. The former is defined as the outside of fixed points of the closure operator and the latter is defined as the difference between the set of fixed points of the weakened closure operator and a given set which defines the closure. This theory is then applied to elementary local cellular automaton (ELCA) in which the time development of its cell is driven by observing the dynamics of its nearest neighbors at the previous time step, followed by taking the closure (or the weak closure) in the appropriate space. The behavior of ELCA is characterized by its algebraic and statistical properties. In particular, we show that self-organized criticality (SOC)-like behavior appears in ELCA driven by the weakened closure operator.

本文言語English
ページ(範囲)71-94
ページ数24
ジャーナルPhysica D: Nonlinear Phenomena
202
1-2
DOI
出版ステータスPublished - 2005 3 1
外部発表はい

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 数理物理学
  • 凝縮系物理学
  • 応用数学

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