TY - JOUR
T1 - Splitting instability of cellular structures in the Ginzburg-Landau model under feedback control
AU - Sakaguchi, Hidetsugu
N1 - Copyright:
Copyright 2009 Elsevier B.V., All rights reserved.
PY - 2009/8/6
Y1 - 2009/8/6
N2 - We study numerically a Ginzburg-Landau-type equation for micelles in two dimensions. The domain size and the interface length of a cellular structure are controlled by two feedback terms. The deformation and the successive splitting of the cellular structure are observed when the controlled interface length is increased. The splitting instability is further investigated using coupled mode equations to understand the bifurcation structure.
AB - We study numerically a Ginzburg-Landau-type equation for micelles in two dimensions. The domain size and the interface length of a cellular structure are controlled by two feedback terms. The deformation and the successive splitting of the cellular structure are observed when the controlled interface length is increased. The splitting instability is further investigated using coupled mode equations to understand the bifurcation structure.
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U2 - 10.1103/PhysRevE.80.017202
DO - 10.1103/PhysRevE.80.017202
M3 - Article
AN - SCOPUS:68949122613
SN - 1539-3755
VL - 80
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 1
M1 - 017202
ER -