TY - JOUR
T1 - Return map structure and entrainment in a time-state-scale re-entrant system
AU - Gunji, Yukio Pegio
AU - Sasai, Kazuto
AU - Aono, Masashi
PY - 2007/10/15
Y1 - 2007/10/15
N2 - 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.
AB - 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.
KW - Chaotic liar
KW - Frame problem
KW - Self-reference
KW - Subjective time
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U2 - 10.1016/j.physd.2007.07.003
DO - 10.1016/j.physd.2007.07.003
M3 - Article
AN - SCOPUS:34548515115
VL - 234
SP - 124
EP - 130
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
SN - 0167-2789
IS - 2
ER -