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

Yukio Pegio Gunji, Kazuto Sasai, Masashi Aono

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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
Issue number2
Publication statusPublished - 2007 Oct 15
Externally publishedYes


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

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics


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