Condensed Matter Physics, 1997, No 9, p. 19-27, English
DOI:10.5488/CMP.9.19
Title: HOPF AND TURING BIFURCATIONS IN FLUCTUATIONAL MODELS OF
SELF-ORGANIZATION
Authors: A.V.Chalyi (Chair of Biophysics, Ukrainian State Medical
University, 13 Shevchenko Blvd., UA-252004 Kiev, Ukraine), D.A.Khiznyak
(Institute of Physics Ukrainian National Academy of Sciences, 46 Nauki Av., UA-252650 Kiev,
Ukraine), Ya.V.Tsehmister (Chair of Biophysics, Ukrainian State Medical
University, 13 Shevchenko Blvd., UA-252004 Kiev, Ukraine)
The fluctuation models of self-organization are proposed with fluctuation
Hamiltonians taken into account. Conditions of the Hopf and Turing
bifurcations are examined, special attention is paid for the analysis of
limit-cycle and focus solutions. The principal possibility of the formation
of ordered structures in the fluctuation models of self-organization are
discussed for open systems in a stationary states.
Comments: Figs. 3, Refs. 8, Tabs. 0.