Abstract heterarchy: Time/state-scale re-entrant form

Yukio Pegio Gunji*, Kazauto Sasai, Sohei Wakisaka

*この研究の対応する著者

研究成果: Article査読

19 被引用数 (Scopus)

抄録

A heterarchy is a dynamical hierarchical system inheriting logical inconsistencies between levels. Because of these inconsistencies, it is very difficult to formalize a heterarchy as a dynamical system. Here, the essence of a heterarchy is proposed as a pair of the property of self-reference and the property of a frame problem interacting with each other. The coupling of them embodies a one-ity inheriting logical inconsistency. The property of self-reference and a frame problem are defined in terms of logical operations, and are replaced by two kinds of dynamical system, temporal dynamics and state-scale dynamics derived from the same "liar statement". A modified tent map serving as the temporal dynamics is twisted and coupled with a tent map serving as the state-scale dynamics, and this results in a discontinuous self-similar map as a dynamical system. This reveals that the state-scale and temporal dynamics attribute to the system, and shows both robust and emergent behaviors.

本文言語English
ページ(範囲)13-33
ページ数21
ジャーナルBioSystems
91
1
DOI
出版ステータスPublished - 2008 1 1
外部発表はい

ASJC Scopus subject areas

  • 統計学および確率
  • モデリングとシミュレーション
  • 生化学、遺伝学、分子生物学(全般)
  • 応用数学

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