Return map structure and entrainment in a time-state-scale re-entrant system

Yukio Gunji, Kazuto Sasai, Masashi Aono

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

From the perspective of a heterarchy, endo-physics, or internal measurement, a time-state-scale re-entrant system has been proposed [Y.-P. Gunji, K. Sasai, S. Wakisaka, BioSystems (submitted for publication)]. However, the dynamical structure of this system has yet to be estimated. Because the return map of the time-space re-entrant system results from the twisted coupling between the temporal and state-scale states, it is analytically determined. The attractors of entrainment in the interactive re-entrant system are also determined by a particular recursive rule, and it is also shown that a resulting return map can control the attractors of the interactive systems.

Original languageEnglish
Pages (from-to)124-130
Number of pages7
JournalPhysica D: Nonlinear Phenomena
Volume234
Issue number2
DOIs
Publication statusPublished - 2007 Oct 15
Externally publishedYes

Fingerprint

Return Map
Entrainment
entrainment
Attractor
Physics
physics
Interactive Systems
Space-time
Internal

Keywords

  • Chaotic liar
  • Frame problem
  • Self-reference
  • Subjective time

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

Cite this

Return map structure and entrainment in a time-state-scale re-entrant system. / Gunji, Yukio; Sasai, Kazuto; Aono, Masashi.

In: Physica D: Nonlinear Phenomena, Vol. 234, No. 2, 15.10.2007, p. 124-130.

Research output: Contribution to journalArticle

Gunji, Yukio ; Sasai, Kazuto ; Aono, Masashi. / Return map structure and entrainment in a time-state-scale re-entrant system. In: Physica D: Nonlinear Phenomena. 2007 ; Vol. 234, No. 2. pp. 124-130.
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