Self-organisation of living systems towards criticality at the edge of chaos

Keisuke Ito*, Yukio Pegio Gunji

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


A principle of self-organization toward a critical state is proposed as a metadynamics of evolutionary processes. When the propagation velocity of information is slow as in living systems, discrepancy occurs between the virtual process and the actual one. The degree of discrepancy is defined for discrete dynamical systems on the scheme of perpetual disequilibration (PD), proposed by Gunji and others. It is supposed that adaptable systems tend to evolve so that the discrepancy may be minimized. A principle of the minimum degree of PD is applied to cellular automata and Boolean networks. These complex systems have the minimum degree of PD at the border between order and chaos, and thus are expected to evolve to the critical state at the edge of chaos. This self-organized criticality is a generalized form of Bak's self-organized criticality.

Original languageEnglish
Pages (from-to)17-24
Number of pages8
Issue number1
Publication statusPublished - 1994
Externally publishedYes


  • Edge of chaos
  • Evolution
  • Self-organization

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Applied Mathematics


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