Description of systematicity intrinsic to the dynamics of complex-system models

Takayuki Nozawa, Yoshihiro Miyake

Research output: Contribution to journalArticlepeer-review

Abstract

To describe systematicity in the complex dynamics of deterministic models of various media (worlds), we have proposed a new framework in place of a conventional framework which entails the concept of possible states and the state-set. A significant characteristic of this framework is that it adopts what corresponds to specifications of actual state of limited parts of the world with limited accuracies as the worlds' equally primary elements, instead of introducing statistical ensemble. Content of a state of a world is defined not by the position of the state in other possible but unrealized states but by the relations among other realized states. We discuss how the systematicity of the world should be described without its "ground" originating in an external viewpoint, and how differences in some basic features of the dynamics models are distinguished in this framework.

Original languageEnglish
Pages (from-to)1095-1115
Number of pages21
JournalChaos, Solitons and Fractals
Volume14
Issue number7
DOIs
Publication statusPublished - 2001 Oct 1

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

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